Резонансне тунелювання за участю глибоких центрів в напівпровідникових структурах та зв’язані з ним ефекти: Автореф. дис… д-ра фіз.-мат. наук / А.М.

2

Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea

Ia i?aaao
?oeiieno

EI?IEUe AIAOIE?E IEEIEAEIAE*

OAeE 537.311.322

?ACIIAINIA OOIAETHAAIIss CA O*ANOTH AEEAIEEO

OeAIO??A A IAI?AI?IA?AeIEEIAEO NO?OEOO?AO

OA CA’ssCAI? C IEI AOAEOE

01. 04. 10 — O?ceea iai?ai?ia?aeiee?a ? ae?aeaeo?ee?a

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

aeieoi?a o?ceei-iaoaiaoe/ieo iaoe

Ee?a — 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a Oe?a?inueeiio aea?aeaaiiio oi?aa?neoao? oa?/iaeo
oaoiieia?e

Io?oe?ei? iiiiaioe:

/eai-ei?aniiiaeaio Aeaaeai?? iaaeaaia?/ieo iaoe Oe?a?ie,
aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?, ia?oee i?i?aeoi?

Ee?anueeiai oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea

O?AOssE Ieaa Aaneeueiae/

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ia?aeiee iaoeiaee
ni?a?ia?oiee ?inoeoooo o?ceee iai?ai?ia?aeiee?a IAI Oe?a?ie

AANUeEI Oaae?? O?ioeiiae/

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?, i?ioani?
eaoaae?e caaaeueii? oa oai?aoe/ii? o?ceee Iaoe?iiaeueiiai oaoi?/iiai
oi?aa?neoaoo Oe?a?ie “EI?”

NIA?NUeEEE Aiae??e Ieaenaiae?iae/

I?ia?aeia i?aai?caoe?y: ?inoeooo o?ceee IAI Oe?a?ie

Caoeno a?aeaoaeaoueny 26 ea?oiy 1999 ?. i 15 aiaeei?
ia can?aeaii?

niaoe?ae?ciaaii? a/aii? ?aaee Ae26.001.31.a Ee?anueeiio oi?aa?neoao?
?iai? Oa?ana Oaa/aiea

ca aae?anith: 252127, i.Ee?a, i?.aeaae. Aeooeiaa 6, aoae. 46.

C aeena?oaoe??th iiaeia iciaeiieoenue a a?ae?ioaoe? Ee?anueeiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea.

Aaoi?aoa?ao ?ic?neaii 12 aa?aciy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee, eaiae.o?c.-iao. A.A.
Oeaa?i

ANOOI.

Aeooaeuei?noue oaie. A iai?ai?ia?aeieeia?e i?e?iaeaeo?ii?oe?
nueiaiaei?oiueiai aeiy niinoa??aa?oueny cia/iee iinooi, yeee noaa
iiaeeeaei ia?aaeon?i caaaeyee oni?oai iai?ai?ia?aeieeiai? oaoiieia??.
?ioaineaii aea/athoueny oae? iai?ai?ia?aeieeia? ia’?eoe, ye? aaeaeiny
noai?eoe cian?i iaaeaaii: ??ciiiai?oi? ooiaeueii-?aciiaini? no?oeoo?e
(O?N), eaaioia? oaeeueiaiaee ??cieo oi?i ? eiio?ao?aoe?e, iecueeiaei??i?
eaaioia? no?oeoo?e (eaaioia? ae?ioe, eaaioia? oi/ee), eaaioia? e?eueoey,
??ci? oeie iaaeno?oeoo?, cie?aia, iaaea?aoee, iaaii?yaeeiaai? nenoaie,
eaac?ia??iaee/i? eaioethae ? oaea ?ioa. Aaaaoi ?c caaaeaieo ia’?eo?a
aaea i?aeoe/ii aeei?enoiaothoueny, aea ana ae oaee no/aniee ia??iae
iiaeia ioa?aeoa?ecoaaoe, ye ia??iae oe?ieiai, anaa?/iiai aea/aiiy oeo
no?oeoo?, ui ?o iiaeia noai?eoe ia aac? iiai? oaoiieia??. A ia??iaeeoe?
c’yaey?oueny oaeiae aaaaoi ?ia?o, aea i?iiiiothoueny iia?
iai?ai?ia?aeieeia? i?eeaaee, ae?y yeeo a?oioo?oueny ia caaaeaieo
no?oeoo?ao.

C ?ioiai aieo aeia?a a?aeiii, yeo aaeeeo ?ieue a ?iaio?
iai?ai?ia?aeieeiaeo iiaeooue a?ae?a?aaaoe aeeaie? aeii?oeia? oeaio?e,
ye? a aeayeeo aeiaaeeao aaiaeyoueny a iai?ai?ia?aeieee ooo/ii,
oe?eani?yiiaaii, a ?ioeo ?niothoue iacaeaaeii. I?e oeueiio a?aeiii, ui
ca aeiiiiiaith oeo /e ?ioeo oaoiieia?/ieo i?eeii?a iiaeeeaei ? aeineoue
oi/ia ?aaoethaaiiy oa?aeoa?enoee aeacaieo no?oeoo?, iaeiae ?ieue
aeeaieeo oeaio??a o oeueiio a?aeiioaii? aeine?aeaeaia ua cian?i
iaaeinoaoiuei. Aeae?, ine?eueee a?eueo?noue ?c cacia/aieo ia’?eo?a ?
aa?’??ieie no?oeoo?aie, oi oe?eeii c?icoi?eith ? oaeiae aaaeeea?noue
yaeua ?aciiainiiai ooiaethaaiiy ca o/anoth aeeaieeo oeaio??a a no/anieo
iai?ai?ia?aeieeiaeo no?oeoo?ao (oiaoi, ooiaethaaiiy ca aeiiiiiaith aai
/a?ac aeeaie? oeaio?e). Aiaeii/an oaoiieia?y aaaaeaiiy aeeaieeo oeaio??a
c aaaeaieie ia?aiao?aie a iai?ai?ia?aeieeia? no?oeoo?e ca?ac aeia?a
a?aeiia ? ia?aa??aia.

Oaeei /eiii, i?iaeaia aea/aiiy ?ie? ?aciiainiiai ooiaethaaiiy ca o/anoth
aeeaieeo oeaio??a a o?ce/ieo i?ioeanao a ??ciiiai?oieo no/anieo
iai?ai?ia?aeieeiaeo no?oeoo?ao, a oaeiae aiae?c iiaeeeaino? ?aaoethaaiiy
oa?aeoa?enoee aeacaieo no?oeoo? ca aeiiiiiaith aaaaeaiiy a ieo aeeaieeo
aeii?oeiaeo oeaio??a ? aaeueie aeooaeueieie.

Iaoa ? caaea/? aeine?aeaeaiiy. ?c neacaiiai aeua aeieeaa? iaoa ?iaioe:
aeine?aeeoe ?ieue ?aciiainiiai ooiaethaaiiy ca o/anoth aeeaieeo oeaio??a
a aeaeo?iiieo i?ioeanao a ??ciiiai?oieo eiie?aoieo iai?ai?ia?aeieeiaeo
no?oeoo?ao oa c’ynoaaoe iiaeeea?noue ca aeiiiiiaith aeeaieeo oeaio??a
oe?eani?yiiaaii ?aaoethaaoe oa?aeoa?enoeee ??cieo iai?ai?ia?aeieeiaeo
no?oeoo?. I?e oeueiio iniaeeaa oaaaa i?eae?eaia aeaiiino?aoe?? oiai
oaeoo, ui aieea aeeaieeo aeii?oe?a oa ?aciiainia ooiaethaaiiy ca o/anoth
aeeaieeo oeaio??a iiaeooue aooe nooo?aeie a iae??ciiiai?oi?oeo
iai?ai?ia?aeieeiaeo no?oeoo?ao: ? iia?oi?o (oaeeo ye eaac?ia??iaee/i?
iaaea?aoee O?aiia//?, iacineii?/i? e?enoaee), ? oaeeo, ui aaea noaee
o?aaeeoe?eieie (iai?eeeaae, eiioaeo iaoae-iai?ai?ia?aeiee).

Aiae?c e?oa?aoo?ieo aeaieo iieacaa, ui ?niothoue eeoa ie?ai?,
ia/eneaii? ?iaioe ii aea/aiith ?aciiainiiai ooiaethaaiiy ca o/anoth
aeeaieeo oeaio??a a no/anieo iai?ai?ia?aeieeiaeo no?oeoo?ao.
Iaaeinoaoiuei oaeiae i?eae?eaii oaaae aieeao aeeaieeo ??ai?a ia
oa?aeoa?enoeee iai?ai?ia?aeieeiaeo nenoai. ?acoeueoaoe ia iathoue
nenoaiaoeciaaiiai, oii?yaeeiaaiiai ? oe?eani?yiiaaiiai oa?aeoa?o.

Iaoeiaa iiaecia iaea?aeaieo a aeai?e aeena?oaoe?? ?acoeueoao?a iieyaa? o
oaeiio.

Aia?oa iaea?aeaii ? i?iaiae?ciaaii ooiaeuei? niaeo?e iaaii?yaeeiaaieo
iai?ai?ia?aeieeiaeo iaaea?aoie c aeeaieeie oeaio?aie a iioaioe?aeueieo
aa?’??ao. Iieacaii, ui niaeo?e oaeeo iaaea?aoie ea?aeeiaeueii
a?ae??ciythoueny a?ae niaeo??a iaaii?yaeeiaaieo iaaea?aoie aac
?icn?thaa/?a. Cie?aia, iaeei c aeoaea aaaeeeaeo ?acoeueoao?a iieyaa? o
oiio, ui caaaeyee aeeaieei oeaio?ai iaaii?yaeeiaaia iaaea?aoea iiaea
iiaea noaoe aaniethoii i?ici?ith i?e iaaieo ?aciiainieo aia?a?yo.
Eiao?oe??io ooiaeueii? o?aini?n?? aeaeo?iia /a?ac a?aoeo O noa?
i?aeoe/ii ??aiei iaeeieoe? ? ia?aaeuo? cia/aiiy O aeey iaaea?aoee aac
?icn?thaa/?a ia aeae?eueea ii?yaee?a. Cacia/aiee aoaeo aeaeieae?caoe??
aeaeo?iiieo noai?a iiaea niinoa??aaoenue a oe?ieiio ae?aiacii? cia/aiue
ia?aiao??a caaea/?. Aia?oa iaea?aeaii iaiiiioiiio caeaaei?noue
eiao?oe??ioa i?ici?ino? a?ae oiaueie iioaioe?aeueieo aa?’???a.
I?iaiae?ciaaii ??ci? oeie iaaii?yaeeiaaieo iaaea?aoie, a oiio /ene? ? a
ciai?oiueiio iaeii??aeiiio aeaeo?e/iiio iie?.

Oaeei /eiii, iieacaii neeueiee eiino?oeoeaiee aieea aeeaieeo oeaio??a ia
i?ioeane a iaaii?yaeeiaaieo iaaea?aoeao: aeiaaaeaia iiaeeea?noue
aeaeieae?caoe?? aeaeo?iiieo noai?a ?c a?aeiia?aeieie iane?aeeaie a ?o
o?ainii?oieo aeanoeainoyo.

Aia?oa cai?iiiiiaaii iiaee oei oaeiai aaaeeeaiai ia’?eoo aeine?aeaeaiue,
ye iai?ai?ia?aeieeia? eaac?ia??iaee/i? iaaea?aoee O?aiia//? ? aeiaaaeaia
iiaeeea?noue ?nioaaiiy iaaea?aoie oaeiai oeio. Eaac?ia??iaee/ia
iiaeoeyoe?y iioaioe?aeo a oaeeo iaaea?aoeao noai?th?oueny o?eueee ca
?aooiie aeeaieeo aeii?oeiaeo oeaio??a, aaaaeaieo a iioaioe?aeuei?
aa?’??e ia??iaee/ii? a?aoee ca caeiiii O?aiia//? ?ioiai oaeoi?o
eaac?ia??iaee/iino? iaia?, oiaoi, aeiaaaeaii, ui aaaaeaiiy aeeaieeo
aeii?oe?a a ia??iaee/io iaaea?aoeo ? naiiaeinoaoiueith i?e/eiith aeey
aeieeiaiiy eaac?ia??iaee/ii? iiaeoeyoe?? iioaioe?aeo. Aeaoaeueii
i?iaiae?ciaaii caeiiii??iino? aia?aaoe/ieo niaeo??a cai?iiiiiaaieo
iaaea?aoie O?aiia//?.

Aia?oa iaea?aeaii ? i?iaiae?ciaaii aia?aaoe/i? niaeo?e aeayeeo ?ioeo
aa?n?e iaaea?aoie O?aiia//? c aeii?oeaie a iioaioe?aeueieo aa?’??ao.

Aia?oa cai?iiiiiaaii iiaee oei eaac?ia??iaee/ieo ???a?o?/ieo iaaea?aoie,
eaac?ia??iaee/ia iiaeoeyoe?y yeeo noai?th?oueny aeeaieeie aeii?oeiaeie
oeaio?aie. I?iaiae?ciaaii oa?aeoa? aia?aaoe/ieo niaeo??a oaeeo
iaaea?aoie.

Aia?oa iieacaii, ui aaaaeaiiy aeii?oeiaeo oeaio??a a iacineii?/iee
e?enoae (iaeiiaei??io aae?noe/io iaaea?aoeo) aea? ciiao a oe?ieeo
iaaeao, oe?eani?yiiaaii ?aaoethaaoe aia?aaoe/iee niaeo? inoaiiueiai.

Aia?oa aeiaaaeaia iiaeeea?noue ?aciiainiiai ooiaethaaiiy a L-iiae?aiiio
eaaioiaiio ae?io? (oaeeueiaiae?) /a?ac aa?’?? c aeii?oeiaeie oeaio?aie,
yeee cai?iiiiiaaii aaiaeeoe a eoo oe??? no?oeoo?e. I?iaiae?ciaaii
o?ainii?oi? aeanoeaino? oaeiai oaeeueiaiaeo ? iieacaii, ui caaaeyee
aeii?oeai iiaeia aeinyaaoe nooo?aiai ciaioaiiy ao?ao a iiooaeiino?
aeaeo?iiii? oaee? i?e i?ioiaeaeaii? ?? /a?ac oaeeueiaiae.

Oaeei /eiii, aia?oa i?iaeaiiino?iaaia iiaeeea?noue ca aeiiiiiaith
aeii?oeiaeo oeaio??a nooo?ai iie?iooaaoe o?anii?oi? aeanoeaino? ? oe?iei
?aaoethaaoe ooiaeuei? oa?aeoa?enoeee oaeeo iai?ai?ia?aeieeiaeo
iaiino?oeoo?, ye iacineii?/iee e?enoae oa L-iiae?aiee eaaioiaee
oaeeueiaiae, oiaoi oaeeo ia’?eo?a, a yeeo ii?aeiothoueny aai
eiia?iothoueny aeanoeaino? ooiaeueii-?aciiainieo oa iecueeiaei??ieo
no?oeoo?.

Aia?oa iaea?aeaii ?acoeueoaoe aiae?co aia?aaoe/iiai niaeo?o aeaoaeoii?
iaaea?aoee c ?icn?thaa/aie a iioaioe?aeueieo aa?’??ao (iae?ineii?/iee
aeaoaeo coiiaeaiee oei, ui oe?eia iaei??? ?c eaaioiaeo yi
a?ae??ciy?oueny a?ae ?ioeo).

Aia?oa ?ic?aoiaaii ? i?iaiae?ciaaii aia?aaoe/i? niaeo?e oaeiai
aaaeeeaiai iai?ai?ia?aeieeiaiai ia’?eoo, ye aeueoa?iiaai? iaaea?aoee.
Aia?oa i?iaiae?ciaaii niaeo?e ??cieo oei?a aeueoa?iiaaieo iaae?aoie c
iaiaeiaeiaeie oiaueiaie aa?’???a. Aeyaeaii aaaeeea? iniaeeaino? niaeo??a
aeacaieo no?oeoo?; iieacaii, ui ?icaeyaeoaai? niaeo?e ? aeoaea /ooeeaeie
aei aaaaeaiiy aeeaieeo aeii?oe?a a iioaioe?aeuei? aa?’??e aeueoa?iiaaieo
iaaea?aoie.

Aia?oa iaea?aeaii ?acoeueoaoe ?ic?aooieo ?iia??iino? ooiaeueii?
?ii?caoe?? aeeaieiai aeii?oeiaiai oeaio?a iiaeeco a?eueii? iiaa?oi?
iai?ai?ia?aeieea ca ?aooiie ?ciaia?aaoe/ieo aeaeo?iiieo ia?aoiae?a c
ia’?iieo noai?a a oaii?anueeo ciio iiaa?oiaaeo noai?a.

?ic?aoiaaii ?iia??i?noue iieueiai? ?ii?caoe?? aeeaieiai oeaio?a a
iaeano? i?inoi?iaiai ca?yaeo, iioaioe?aeueiee ?aeue?o yei? iieno?oueny
ia?aaie?/iei caeiiii.

Aeaa inoaii? aoaeoe iiaeooue a?ae?a?aaaoe aaaeeeao ?ieue a o?ce/ieo
i?ioeanao a aa?”??ieo no?oeoo?ao.

Iieacaii, ui aia?aaoe/i? niaeo?e oaeeo iaea?eueo aea/aieo
ooiaeueii-?aciiainieo no?oeoo?, ye aeaiaa?’??ia O?N, aneiao?e/i?
iiaea?ei? eaaioia? yie ?noioii caeaaeaoue a?ae iayaiino? aeeaieeo
aeii?oeiaeo oeaio??a a iioaioe?aeueieo aa?’??ao, ? ioaea, ca aeiiiiiaith
inoaii?o iiaeia aeinyaaoe aaaeaieo iiaeeo?eaoe?e aia?aaoe/ieo niaeo??a
cacia/aieo no?oeoo?.

Aia?oa aeiaaaeaia iiaeeea?noue aeieeiaiiy yaeua iaaaoeaiiai
aeeoa?aioe?aeueiia iii?o a eiioaeo? iaoae-iai?ai?ia?aeiee, a iaeano?
i?inoi?iaiai ca?yaeo yeiai ?niothoue aeeaie? aeii?oeia? oeaio?e.
Iaea?aeaii ae?ace aeey a?aeiia?aeieo aieueo-aiia?ieo oa?aeoa?enoee ?
aeyaeaii iaee?au? oiiae aeey ooai?aiiy iaaaoeaiiai aeeoa?aioe?aeueiiai
iii?o.

Aia?oa aeine?aeaeaii aeae?eueea ieoaiue, ca’ycaieo c i?iaeaiith
ooai?aiiy aeeaieeo aeii?oeiaeo noai?a, a naia: 1) i?iaeaiiino?iaaii
iiaeeea?noue ooai?aiiy aeeaieeo aeii?oeiaeo noai?a a aeaiaa?”??i?e
ooiaeueii-?aciiaini?e no?oeoo??, eiee ia aeii?oeiaiio iioaioe?ae? a
iaeano? eaaioiai? yie ca’yco?oueny aeaeo?iiia oaeey, ui ?ooa?oueny
ia?iaiaeeeoey?ii aei aaoa?iiaae; 2) iieacaii, ui a?aooaaiiy naiiai
oaeoo i?inoi?iai? aeenia?n?? ae?aeaeo?e/ii? i?iieeiino? , a oi/i?oa
oiai, ui aei??aith? iaeeieoe? ia iaeeo a?aenoaiyo a?ae aeii?oeiaiai
oeaio?a, aeicaiey? aaea a i?ino?e iiaeae? iaea?aeoaaoe ye i?ee?, oae ?
aeeaie? ??ai? a caai?iiai?e cii? iai?ai?ia?aeiee?a; 3) ia aac? iaoiaeo
kp cao?aiue a ?aae?noe/i?e iiaeae? ciiii? no?oeoo?e iai?ai?ia?aeiee?a
aia?oa iaea?aeaii i?ino? aiae?oe/i? ae?ace aeey ae?aeaeo?e/ii?
i?iieeiino? aeey ??cieo oei?a aacu?eueiaeo iai?ai?ia?aeiee?a a
caeaaeiino? a?ae ia?aiao??a e?enoaea; iieacaii, ui aianie a
ae?aeaeo?e/io i?iieei?noue aocueeiciiieo iai?ai?ia?aeiee?a (c
eaei?anueeith iiaeaeeth ciiii? no?oeoo?e) a?ae ni?i-a?aeuaieaii? ciie,
ia a?aei?io a?ae cii eaaeeo oa aaaeeeo ae??ie, ? ?aaoey?iei i?e iaeeo
cia/aiiyo i?i?iaeueii? oe?eie caai?iiaii? ciie.

I?aeoe/ia oe?ii?noue ?acoeueoao?a ?iaioe. Iaea?aeai? a aeena?oaoe??
?acoeueoaoe aeathoue iiaeeeaino? ? eiie?aoi? ?aeiiaiaeaoe?? aeey
cia/iiai iie?ioaiiy o?ainii?oieo aeanoeainoae ?yaeo no/anieo
iai?ai?ia?aeieeiaeo no?oeoo?, oaeeo ye iaaii?yaeeiaai? iaaea?aoee,
L-iiae?aiee eaaioiaee oaeeueiaiae, aeey aeei?enoaiiy a cia/ii oe?oiio
ae?aiacii? cia/aiue ia?aiao??a oaeeo ia’?eo?a, ye aeaiaa?’??ia
ooiaeueii-?aciiainia no?oeoo?a, aneiao?e/i? iiaea?ei? eaaioia? yie,
iacineii?/iee e?enoae, iaaea?aoee c iae?ineii?/ieie aeaoaeoaie,
aeueoa?iiaai? iaaea?aoee, ye neeaaeiaeo /anoei no/anii? i?e?i, iaii oa
iioiaeaeo?ii?ee.

Cai?iiiiiaai? a aeena?oaoe?? iia? aa?n?? oaeeo aaaeeeaeo ? ia?niaeoeaieo
iai?ai?ia?aeieeiaeo ia’?eo?a, ye eaac?ia??iaee/i? iaaea?aoee O?aiia//?
oa ???a?o?/i? iaaea?aoee, iaaeathoue iiaeo iiaeeeainoae aeey
oai?aoe/iiai, aenia?eiaioaeueiiai aeine?aeaeaiiy oa canoinoaaiiy
cacia/aieo no?oeoo?.

?acoeueoaoe ?iaioe aeathoue i?aenoaae aeey oe?oiai aeei?enoaiiy oaei?
/anoi aaeeaaii? no?oeoo?e, ye ae?iae Oioe?.

?acoeueoaoe ?iaioe noai?ththoue oaeiae aaco aeey a?eueo aio/eiai
aeei?enoaiiy e ?icoe?aiiy ooieoe?iiaeueieo iiaeeeainoae cacia/aieo aeua
no?oeoo? oa iia? iiaeeeaino? aeey iaiaa?o i?e noai?aii?
iai?ai?ia?aeieeiaeo i?eeaae?a c iiaeie aeanoeainoyie.

Iniaenoee aianie caeiaoaa/a. O an?o ?iaioao ?c ni?aaaoi?aie y a?aa
ia?eoaoio o/anoue o iinoaiiaoe? a?aeiia?aeieo i?iaeai, ?o ?ica’ycaii? oa
aiae?c? iaea?aeaieo ?acoeueoao?a. E??i ?ioiai, aaoi?ia? iaeaaeeoue
iaea?aeaiiy aeniiae?a, aiae?c ?acoeueoao?a ia i?aenoaa? oaeeo io?eiaieo
iei oi?ioe o ?iaioao (iiia? iaaiaeeoueny ?c iaaaaeaiiai ieae/a nieneo
iioae?eiaaieo iiith i?aoeue):

2. ??aiyiiy (3a) (3n), (8), (10) ? aea? inoaii? oi?ioee ia noi??ioe?
417 .

3. ??aiyiiy (6), (7), (10), (13), (18), (22), (25), a oaeiae ?acoeueoaoe
oaaeeoe? aeey e?enoae?a GaAs, InSb.

4. ni?aa?aeiioaiiy (3), (4), (5), (8), a oaeiae ?acoeueoaoe ?ic?aooieo
aaee/eie , cia?aaeai? ia ?enoieo 1 aeey GaAs, InSb.

6. ??aiyiiy (2), (3), (7), (8), (10).

7. oi?ioee (2), (4) ? inoaii? ni?aa?aeiioaiiy ia noi??ioe? 1184.

9. oi?ioee (7), (8), (10), (13), (17).

10. ??aiyiiy (1), (5), (7), (9), (11), (12).

Ai?iaaoe?y ?acoeueoao?a ?iaioe. ?acoeueoaoe ?iaioe aoei ai?iaiaaii a
oaeeo ia?aaeao, eiioa?aioe?yo ? o.?.

Ainueiia ananithciia niaauaiea ii oai?ee iieoi?iaiaeieeia, Eeaa, 1975
aiae.

Aeaayoia ananithciia niaauaiea ii oai?ee iieoi?iaiaeieeia, Oaeeene, 1978
aiae.

Ia?oa ?anioae?eainueea eiioa?aioe?y c o?ceee iaaii?yaeeiaaieo nenoai,
Euea?a, 1993 ??e.

16-th Pecar International Conference on Theory of Semiconductors,
Odessa, Ukraine, 1994 (aea? ?iaioe).

International School-Conference on Physical Problems in Material Science
of Semiconductors, Chernivtsi, 1995 (aea? ?iaioe).

International Conference Nanomeeting-95, Minsk, 1995.

Iaaeaeoia?iaeiay eiioa?aioeey ii oeceea e oaoiieiaee oiieeo ieaiie
IEOOOI-V, Eaaii-O?aieiane, 1995 aiae (aea? ?iaioe).

Ioae?eaoe??. ?acoeueoaoe ?iaioe iioae?eiaaii a 24 noaooyo, 5 oacao
eiioa?aioe?e.

No?oeoo?a oa ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny ?c anooiii?
/anoeie, naie ?icae?e?a (ia?oee c yeeo ? iaeyaeii e?oa?aoo?e, ?io?
i?ea?iaeuei?), caaaeueieo aeniiae?a oa nieneo aeei?enoaieo aeaea?ae ?c
206 iaeiaioaaiue. ?iaioo aeeeaaeaii ia 284 noi??ieao, aiia i?noeoue 49
?enoie?a, aea? oaaeeoe?.

INIIAIEE CI?NO ?IAIOE

Ia?oee ?icae?e aeena?oaoe?? ? iaeyaeii e?oa?aoo?ieo aeaieo c ieoaiue,
aeecueeeo aei oaie aeena?oaoe??. A iueiio aiae?co?oueny noai caaea/,
u?eueii ca’ycaieo c i?iaeaiaie, ?icaeyiooeie a i?ea?iaeueieo ?icae?eao,
iaa?oioiao?oueny aeooaeuei?noue aeine?aeaeaiue. Aiae?c aeaii a
o?iiieia?/iiio ii?yaeeo, oiaoi a ?icaeoeo, aei oaaae aa?ooueny ye
oai?aoe/i?, oae ? aenia?eiaioaeuei? ?iaioe. Iniaeea?noth iaeyaeo
e?oa?aoo?e ? oa, ui a iueiio caoi?eothoueny ia eeoa ia’?eoe, ye?
cono??/athoueny a i?ea?iaeueieo ?icae?eao, aea ? ?io? no/ani?
iai?ai?ia?aeieeia? no?oeoo?e, a yeeo aieea aeeaieeo oeaio??a ia ?o
oa?aeoa?enoeee oaeiae iiaea aooe nooo?aei.

A ae?oaiio ?icae?e? ?icaeyaeathoueny iai?ai?ia?aeieeia? no?oeoo?e c
iaaaeeeith e?euee?noth aaoa?iiaae. Iaaooue, iaea?eueo aea/aiith ?
iioe?aiith na?aae ieo ? aeaiaa?’??ia ooiaeueii-?aciiainia no?oeoo?a
(AeAO?N). I?aeoe/ia ae?y oe??? no?oeoo?e a?oioo?oueny ia ??
aia?aaoe/iiio niaeo??, ioaea, aiae?c niaeo?a AeAO?N ? aaaeeeaith
caaea/ath. A ae?oaiio ?icae?e? ?ic?aoiao?oueny aia?aaoe/iee niaeo? ?
i?iaiaeeoueny eiai aiae?c aeey AeAO?N, a iioaioe?aeueieo aa?’??ao yei?
i?noyoueny aeeaie? aeii?oee; iieaco?oueny, ui aieea ?icn?thaa/?a ia
niaeo? ? aeoaea nooo?aei. ?ic?aooiie i?iaiaeeoueny iaoiaeii ooieoe?e
A??ia, ine?eueee a?i, ia iao iiaeyae, aea? iiaeeea?noue aeey oe?oeo
aiae?oe/ieo aeniiae?a, i?ae aeueoa?iaoeai? iaoiaee.

?icaeyiaii iaeiiaei??io AeAO?N c aenioith aa?’???a V, ?o oiaueiith d,
oe?eia eaaioiai? yie aei??aith? w. No?oeoo?a ? neiao?e/iith, oiaoi
aenioa aa?’???a iaeiaeiaa, oe?eia oaae; aa?’??e aei oiai ae
aaaaeathoueny i?yiieooieie. A aa?”??e aaaaeai? oae caai? “aeii?oeia?
ieiueie aeeaieeo ??ai?a” (AeIA?); oaeeueia? ooieoe?? a?aeiia?aeieo
aeeaieeo noai?a ? neeueii caoooath/eie eeoa a iai?yieo,
ia?iaiaeeeoey?iiio aei aaoa?iiaae [ 1 ]. Iaoae ia aeaio no?oeoo?o iaaea?
aeaeo?iiia oaeey c aia?a??th A, aoaeoeaia iana aeaeo?ii?a a yiao ?
aa?’??ao a caaaeueiiio aeiaaeeo a?ae??ciy?oueny, aea i?e i?iaaaeaii?
ia/eneaiue aeey aeayeeo aaoa?ino?oeoo?, a oaeiae, eiee oea ianooo?ai,
aaaaeaoeiaii ?? iaeiaeiaith (m). Iaoae a e?aiio /e i?aaiio aa?’???
ciaoiaeeoueny iaeia AeIA?; aeii?oeiaee iioaioe?ae iiaeaeth?oueny (ye ? a
[ 1 ]) -ooieoe??th c iiooaei?noth U=f(x) aea x eii?aeeiaoa
aeii?oeiaiai oeaio?a. I?iaiae?coaaoe aia?aaoe/iee niaeo? ?icaeyaeoaaii?
nenoaie c?o/ii, ciath/e ooieoe?th A??ia caaea/? G(x, x; E). Oeth
ooieoe?th iiaeia ae?aceoe /a?ac ooieoe?th A??ia G iacao?aii?
aeii?oeaie nenoaie, ?ica’ycaaoe a?aeiia?aeia ??aiyiiy Aeaeniia (1)

G(x,x1,E)=G0(x,x1,E0+G0(x,E)G(x1,E)/(1-G0(x,E))
(1)

a aeey ae?aooaaiiy ooieoe?? G0 nei?enoa?iinue ?? niaeo?aeueiei
cia?aaeaiiyi, ciaeoiaoe iaiao?aei? oaeeueia? ooieoe?? ye ?ica’ycie
a?aeiia?aeiiai ??aiyiiy O?aae?iaa?a.

Ia iaethieo 1 c?iaeaii a?ao?/iee aiae?c iaea?aeaii? neooaoe??.
Ia iueiio noaiaoe/ii cia?aaeaii o?ae ae?enii? /anoeie Re G ye ooieoe??
aia?a?? A, oae ui ia?aoei ai?eciioaeueii? i?yii? c oe??th e?eaith (ia
ae?eyieao, ui iathoue a?ae`?iiee iaoee) aea? ooeai? cia/aiiy aeanieo
aia?a?e Ai . sse aa/eii, iayai?noue aeii?oeiaeo oeaio??a i?ecaiaeeoue
aei nooo?ai? ci?ie aia?aaoe/iiai niaeo?a, oiaoi aei ?noioii? ci?ie
iieiaeaiue ?aciiainieo ??ai?a. Iieiaeaiiy oeeo iiaeo ??ai?a iiaea
?aaoethaaoeny ye i?e?iaeith, oae ? aaiiao?e/iei ?icoaooaaiiyi
aeii?oeiaeo oeaio??a.

Ia i?aenoaa? aiae?co cia?aaeaieo ia ?enoieo 1 e?eaeo iiaeia
c?iaeoe ieceo caaaeueieo aeniiae?a i?i aia?aaoe/iee niaeo? AeAO?N ?c
aeii?oeaie a aa?`??ao. Caaaeueiee aiae?c ?ethno?o?oueny a ?iaio?
/enaeueieie ?ic?aooieaie aeey oeiiai? AeAO?N GaAs-GaAlAs c eiie?aoieie
ia?aiao?aie. Oe? ?ic?aooiee i?aeoaa?aeaeothoue i?iaaaeaiee aiae?c.
Caoaaaeeii, ui aia?aaoe/iee niaeo? AeAO?N c ?icn?thaa/aie cia/iith
i??ith aeaoa?i?io?oueny aca?iiae??th aeii?oeia?o noai?a a aa?`??ao
(“aa?`??ieo”) ?c aeaeo?iiieie noaiaie eaaioiai? yie (“yiieie”).
Ia/eneaiiy iieacothoue, ui aeey oiai, uia oey aca?iiae?y aoea neeueiith
(? ioaea , aoa neeueiei aieea ia niaeo?) iaiao?aeia aeeiiaiiy aeaio
oiia: 1) aia?aaoe/i? ??ai? aa?’??ieo oa yiieo noai?a iiaeii?
aooe aeecueeeie; 2) aeii?oee iiaeii? aooe aaiiao?e/ii aeecueeeie aei
eaaioiai? yie.

Ianooiiith aa?`??iith iai?ai?ia?aeieeiaith no?oeoo?ith, yea
?icaeyaea?oueny a ?icae?e? 2, ? aneiao?e/i? iiaea?ei? eaaioia? yie
(AIEss), aai aneiao?e/i? aeaiaa?’??i? ooiaeueii-?aciiaini? no?oeoo?e
(AAeO?N). Iiaeeeaeo aa??aio?a aca?iiae?? aeii?oeiaeo ? yiieo noai?a a
AIEss a caeaaeiino? a?ae aca?iiiai ?icoaooaaiiy aia?aaoe/ieo ??ai?a
?nio? aaaaoi ?, i?e?iaeii, ui, ye iieaco? aiae?c, aia?aaoe/i? niaeo?e
AIEss ? cia/ii aaaaooeie i?ae niaeo?e aeaiaa?’??ii? O?N. A ?icae?e? 2
?icaeyiooi aeiaaeee aaaaeaiiy aeii?oe?a eeoa a na?aaei?e aa?’?? oa a
eiaeiee ?c o?ueio iayaieo aa?’???a. I?iaiae?ciaaii, cie?aia,
caeaaei?noue niaeo??a a?ae neee aeii?oeiaiai iioaioe?aeo .

Inoaii?i ia’?eoii, yeee aea/a?oueny a ae?oaiio ?icae?e?, ? no?oeoo?a c
iaei??th aaoa?iiaaeath, a naia, ?icaeyaea?oueny iai?aiane?i/aiiee
iai?ai?ia?aeiee, a?aeie?aieaiee ieiueiith z=0 a?ae aaeooio.
I?eionea?oueny ?nioaaiiy a ia’?i? iai?ai?ia?aeieea aeeaieeo aeii?oeiaeo
noai?a, a ia iiaa?oi? ?icae?eo oaii?anueeeo aeaeo?iiieo noai?a.
Aiae?co?oueny i?ioean ?aeaenaoe?? aeeaieiai noaio i?e ?ciaia?aaoe/ieo
ia?aoiaeao: aeeaie? ??ai? iiaa?oiaa? noaie. Aeey oiai, uia ?ic?aooaaoe
?iia??i?noue ?ii?caoe?? a ciio oaii?anueeeo noai?a aeeaieiai (neeueii
eieae?ciaaiiai) oeaio?a, aeei?enoiao?oueny ??aiyiiy Aeaeniia aeey
ooieoe?? A??ia nenoaie: iai?aiaiaaeaiee iai?ai?ia?aeiee aeeaieee
oeaio?, ui ?icoaoiaaiee ia a?aenoai? r a?ae iiaa?oi? (2)

G(r,r1)=G0(r,r1)+U(n,m,K)G1(r,r1).
(2)

Ooo u(r) iioaioe?ae aeeaieiai oeaio?a, aeey yeiai aeei?enoaii iiaeaeue
Neaoa?aEinoa?a U=U(n,m K), aea n,m ciii? ooieoe?? a
iai?ai?ia?aeieeo, K ia`?i aeaiaioa?ii? eii??ee. Ooieoe?y A??ia
aeey iai?aiane?i/aiiiai iai?ai?ia?aeieea caieno?oueny o aeaeyae?

G=G1+Gs,
(3)

aea G1 i?aaenoaaey? ooieoe?th A??ia iaiaiaaeaiiai iai?ai?ia?aeieea, a
Gs — ooieoe?y, ca`ycaia ?c iiaa?oiaaeie noaiaie. Aeani? ooieoe??,
iio??ai? aeey ia/eneaiiy ooieoe?e A??ia, ?ic?aoiaoaaeenue a [ 2 ]. Oe?
ooieoe?? ?acii ?c ooieoe?yie, ui a?aeiia?aeathoue aeicaieaiei ciiai,
ooai?ththoue iiaio i?oiii?iiaaio nenoaio, ? ??aiyiiy ( 2 ) c?o/ii
iaienaoe a i?aaenoaaeaii? oeeo ooieoe?e. Aeae? ?icaeyaeathoueny
?ica`ycee (aeey iiaa?oiaaeo noai?a), ui a?aeiinyoueny aei caai?iiaii?
ciie eoa?/iiai iai?ai?ia?aeieea oeio A3 A5, eio?a a?aeie?aieth? ciio
i?ia?aeiino? ? aaeaioi? ciie. Oiae? aeani? ooieoe?? aeey oaii?anueeeo
noai?a caienothoueny a ni?iuaiiio aeaeyae? [ 2 ], a ?ica`ycie ??aiyiiy (
2 ) iiaeia i?aaenoaaeoe o aeaeyae?

G=k(E(x)+E(k)).
(4)

Ooo k — aeaiaei??iee caaaeaiee eaac??iioeuen, A (e) oa A ( x ) —
ia’?iiee oa iiaa?oiaaee caeiie aeenia?n?? a?aeiia?aeii. Iaea?aeaia
ooieoe?y ia? iiethne, ui a?aeiia?aeathoue ia’?iiei oa iiaa?oiaaei noaiai
iai?ai?ia?aeieea aac aeii?oeo, a oaeiae iiethn, ca’ycaiee c ?nioaaiiyi
aeii?oeiaiai oeaio?a. Oiae? aeey ?iia??iino? ?ii?caoe?? aeii?oeiaiai
oeaio?a, iia’ycaii? ?c aca?iiae??th aeeaieiai noaio c oaii?anueeith
ciiith, aeaiaeeoueny oaeee ae?ac

A= wkbexp(p/aEt)
(5)

aea kb ?aae?on noa?e, ??aiith ca ia’?iii ia?o?e cii? A?eethaia,
w ?iaioa aeoiaeo, At iioaioe?ae ?ii?caoe?? aeii?oeiaiai oeaio?a a
aeeaei? iai?ai?ia?aeieea, ? oa a “eaei?anuee?” ia?aiao?e ciiii?
no?oeoo?e.

?ic?aooiie aaee/eie A ca oi?ioeith ( 5 ) i?iaaaeaii aeey
iai?ai?ia?aeieea GaAs c eiie?aoiei eaei?anueeei caeiiii aeenia?n??.
sseui iieeanoe aaee/eio iioaioe?aea ?ii?caoe?? ??aiith 0.5 aA, oi
inoaoi/iee ae?ac aeey oa?aeoa?iiai /ano, ca’ycaiiai c aeaeieae?caoe??th
aeeaieiai noaio iiaeeco iiaa?oi? iai?ai?ia?aeieea, iaaoaa? aeaeyaeo

T=3.18exp(0.26r)
( 6 )

ooo r aei??th?oueny a aiano?aiao. ?c inoaiiuei? oi?ioee aeieeaa?, ui
iienaiee iaoai?ci ?ciaia?aaoe/iiai ia?aoiaeo aeaeo?ii?a ec aeeaieiai
oeaio?a a ciio iiaa?oiaaeo noai?a iiaea aecia/aoe oa?aeoa?iee /an aeeooy
aeaeo?iia ia aeii?oeiaiio ??ai? iiaeeco iiaa?oi? iai?ai?ia?aeieea.
Iaoae, iai?eeeaae, a iai?ai?ia?aeieeo c eiioeaio?aoe??th eaaoth/i?
aeii?oee N ia’?iiee /an aeeooy aecia/a?oueny ?ciaia?aaoe/iei
ooiaethaaiiyi. ?ic?aooiie iieaco?, ui oa?aeoa?iee /an aeeooy O a
??aiyii? ( 6 ), ca’ycaiee c iienaiei aeua iaoai?ciii, ? iaioei a?ae
ia’?iiiai i?e r= 50 A aeey N=1024 i-3 ? r= 100 A aeey N=1023
i-3. Oaeei /eiii, ooo i?iaeaiiino?iaaii aaaeeeao ?ieue, yeo iiaeooue
a?ae?a?aaaoe ooiaeuei? ia?aoiaee: aeii?oeiaee oeaio? oaii?anuee? noaie
iiaeeco iiaa?oi? iai?ai?ia?aeieea.

Inoaii?i /anii cia/ia oaaaa i?eae?eyeanue aea/aiith aeanoeainoae
??ciiiai?oieo iaaii?yaeeiaaieo ia’?eo?a, a oiio /ene? iaaii?yaeeiaaieo
iai?ai?ia?aeieeiaeo nenoai. A o?aoueiio ?icae?e? aeena?oaoe??
?icaeyaeathoueny aeaye? oeie iaaii?yaeeiaaieo iai?ai?ia?aeieeiaeo
iaaea?aoie. ?ic?aoiaothoueny ? aiae?cothoueny ooiaeuei? niaeo?e
iaaea?aoie, a iioaioe?aeueieo aa?’??ao yeeo iiaeooue ?nioaaoe aeeaie?
aeii?oeia? oeaio?e niaeo?e oaeeo IA, ye iieacaii, ea?aeeiaeueii
a?ae??ciythoueny a?ae niaeo??a iaaii?yaeeiaaieo a?aoie aac aeii?oie.

A ia?oo /a?ao ?icaeyaeathoueny iaaea?aoee, iaaii?yaeeiaai?noue yeeo
iaoiiaeaia oei, ui oe?eie eaaioiaeo yi iaaoaathoue aeiaaeeiaeo cia/aiue
acaeiaae eaioethaa a?aoee a eiaei?e aeai?e ?? ?aae?caoe??. Iaaea?aoea
neeaaeaia ?c ne?i/aiii? iine?aeiaiino? iaeiiaei??ieo i?yiieooieo
iioaioe?aeueieo aa?’???a iaeiaeiai? aenioe V. Iaoae a eiaeiiio aa?`???
ciaoiaeeoueny iaeia “aeii?oeiaa ieiueia aeeaieeo ??ai?a” (AeIA?) [ 1 ],
yea ciaoiaeeoueny oi/ii iina?aaeei? aa?’??a; iioaioe?ae ?icn?thth/eo
oeaio??a iiaeaeth?oueny — ooieoe??th c iiooaei?noth . Aeaeo?iii? noaie
ana?aaeei? aa?’???a iienothoueny ??aiyiiyi (aoiii? iaeeieoe?)

psi=Aexp( -kx)+Bexp(kx)
(7)

aea psi=psi(r).

?ica’ycie ??aiyiiy ( 7 ), a oaeiae ??aiyiiy aeey noai?a a eaaioiaeo
yiao aea?oueny o aeaeyae?

psi=psi(x)E,
( 8 )

i?e/iio a aa?’??ao E=sqrt(2km) , a a yiao E=sqrt(2kma), m, ma
aoaeoeai? iane aeaeo?ii?a a aa?’??ao oa yiao a?aeiia?aeii. ?ica’ycie
nenoaie ??aiyiue aeey eiao?oe??io?a oaeeueiaeo ooieoe?e ooea?oueny ca
aeiiiiiaith iaoiaeo o?ainoa?ieo iao?eoeue; iao?eoe?, ui ia?aiinyoue
?ica’ycie /a?ac iaae? ?icae?eo aa?’??-yia, ?

R(n,l)=R(n)+R(l)
(9)

?iaeaen n a?aeiineoue ?ica`ycie aei iaaii? yie (aa?’??a), aeey ia?ieo n
ia?ii Rn , aeey iaia?ieo Rl ; iao?eoey, ui ia?aiineoue
?ica’ycie /a?ac AeIA?, ia? aeaeyae

M(n,l)=M(n)+M(l)
(10)

Eiao?oe??io o?aini?n?? aeaeo?iia e??cue iaaea?aoeo aei??aith?

T(E)=R(r)M(r)
( 11 )

aea r e?euee?noue iaae ?icae?eo aa?’??-yia, aeey ia?ieo n ia?ii R
=R(n) , aeey iaia?ieo R =R (n) Ms , s =1,2,3…

Ia/eneaiiy eiao?oe??ioa o?aini?n?? O ca oi?ioeith ( 11 ) i?iaaaeaii aeey
iaaea?aoie ia iniia? aaoa?ino?oeoo?e SiSiC (aeey yei? V=0.4aA, aoaeoeaia
iana a aa?’??ao ? yiao m=0.2m0) ? i?aaenoaaeai? ia ?enoieo 2. Ii in?
i?aeeiao a?aeeeaaeaii log T a ??aiii??iiio ianooaa?, ii in? aanoeen
aia?a?y A a aoiiieo iaeeieoeyo (iaeneiaeuei? oa i?i?iaeuei? cia/aiiy log
T aeai? a i?aa?e /anoei? ?enoie?a). Aa?oi?e e?ea?e a?aeiia?aea? aeiaaeie
a?aenooiino? aeii?oie a IA (oe?eia aa?’???a d=60 ao.iae., e?euee?noue
ia??iae?a a?aoee l=20), aeey ae?oai? e?eai? cia/aiiy ia?aiao??a oae?: l
= 20, d = 60 ao.iae., = -0.1 ao.iae., aeey o?aouei? e?eai?: l = 100,
d = 60 ao.iae., = -0.1 ao.iae., aeey /aoaa?oi? l = 20, d = 150
ao.iae., = -0.1 ao.iae..

Aiae?coth/e ?acoeueoaoe ia/eneaiue, ye oeo, ui i?aaenoaaeai? ia oeiiaeo
?enoieao 2, oae ? aaaaoueio ?ioeo, iiaeia ae?eoe oaeeo aeniiae?a.
Aianaiiy aeii?oe?a a aa?’??e iaaea?aoee i?ecaiaeeoue aei iaaecae/aeii
nooo?aeo ci?i niaeo?a ooiaeueii? i?ici?ino?. Iaeaaaeeea?oith c ieo ? oa,
ui ooai?th?oueny ?ioa?aae aia?a?e, yeiio a?aeiia?aeathoue cia/aiiy
eiao?oe??ioa o?aini?n?? O, aeecuee? aei iaeeieoe?, oiaoi a yeiio a?aoea
noa? i?aeoe/ii aaniethoii i?ici?ith, aai, ?ioeie neiaaie,
niinoa??aa?oueny aoaeo aeaeieae?caoe?? aeaeo?iiieo noai?a. Iaeneiaeueia
aaee/eia O i?e oeueiio ca?eueoo?oueny ia aeae?eueea ii?yaee?a o
ii??aiyii? ?c iaaii?yaeeiaaiith IA aac ?icn?thaa/?a. Cia/ia c?inoaiiy
i?ici?ino? noino?oueny ia eeoa ?aciiainii? aia?a?? oa ?? ieieo, a
a?aeaoaa?oueny a onueiio ?ioa?aae? aia?a?e [0, V]. Iieiaeaiiy
?aciiainii? aia?a?? oa aaee/eia eiao?oe??ioa o?aini?n?? nooo?ai
caeaaeeoue a?ae ia?aiao??a IA oa aeii?oeiaeo oeaio??a. Cie?aia,
cacia/eii, ui ?nio? ?ioa?aae cia/aiue iiooaeiino? aeii?oeiaiai
iioaioe?aeo, a yeiio eiao?oe??io O aeecueeee aei iaeeieoe?; cia/ia
ca?eueoaiiy aaaea aaea aei cieaeaiiy i?ici?ino? o ii??aiyii? ?c
a?aoeith aac ?icn?thaa/?a.

Oaeiae o ?icae?e? 3 caa?iooi oaaao ia iaeio aeineoue oe?eaao ianoaaeio,
a naia ia iaiiiioiiio caeaaei?noue eiao?oe??ioa o?aini?n?? a?ae oiaueie
aa?’???a. ?c ca?eueoaiiyi oiauei aa?’???a aaee/eia O i?ney iaaiiai
ciaioaiiy ii/eia? c?inoaoe, aeinyaath/e iaeneiaeueiiai cia/aiiy , a
iio?i ??cei niaaea?. Ioaea, oea cia/eoue, ui, yeui ?icn?yiiy aeaeo?iiieo
oaeeue a?aeaoaa?oueny ia o?eueee ia aaoa?iiaaeao, a ?nio? e aeiaeaoeiaa
?icn?yiiy ia aeii?oeiaeo oeaio?ao, oi iaee?au? oiiae aeey i?ioiaeaeaiiy
oaee? noai?ththoueny i?e iaai?e oiauei? aa?’???a (ia eaaeo/e i?i cian?i
oiie? aa?’??e).

Aeua aaaaeaeinue, ui ia?aiao?e aeeaieeo oeaio??a iaaoaaee iaeiaeiaeo
cia/aiue a eiaeiiio ?c aa?’???a IA. I?e?iaeieie, iaeiae, ? neooaoe??,
eiee cia/aiiy oeeo ia?aiao??a a ??cieo aa?’??ao iiaeooue aooe ??cieie
oiio aaaeeeai ?icaeyiooe oae? IA, iaaii?yaeeiaai?noue yeeo ii?iaeaeaia
ia?aiao?aie aeeaieeo oeaio??a. Ooiaeueia i?ici??noue oaeeo a?aoie oaeiae
?ic?aoiao?oueny a aeena?oaoe??, ? a?aeiia?aei? ?acoeueoaoe i?aaenoaaeai?
a ?icae?e? 3. Ia/eneaiiy i?iaiaeeeenue ca oiiae, ui ?iceeae cia/aiue
ia?aiao??a aeii?oeiaeo oeaio??a i?aeii?yaeeiao?oueny aaoniaiio caeiio.
?acoeueoaoe iieacothoue, ui a IA c oeoeoothth/eie ia?aiao?aie aeii?oe?a
oaeiae ?nio? oe?ieee ae?aiacii cia/aiue ia?aiao??a caaea/?, a yeiio
eiao?oe??io o?aini?n?? ? aeecueeei aei iaeeieoe?. Aiaeii/an caeaaei?noue
O a?ae aaee/eie aeenia?n?? ia?aiao??a aeeaieeo oeaio??a ? aeineoue
neeueiith, i?e/iio aiia iineeth?oueny ?c ca?eueoaiiyi /enea ia??iae?a
IA.

?ioei oeiii iaaii?yaeeiaaieo IA, ye? ?icaeyaeathoueny a ?icae?e? 3, ?
a?aoee ?c oeoeoothth/eie cia/aiiyie oiauei aa?’???a: ?ic?aoiaothoueny
ooiaeuei? niaeo?e IA c ?icn?thaa/aie, a yeeo iaaii?yaeeiaai?noue
coiiaeaia oei, ui oiaueie aa?’???a iaaoaathoue acaeiaae eaioethaa IA
oaeeo cia/aiue, ye? i?aeii?yaeeiaothoueny aaoniaiio ?iciiae?eo. A oaeeo
a?aoeao, ye iieacaii, oaae niinoa??aa?oueny aoaeo aeaeieae?caoe??
aeaeo?iiieo noai?a i?ae aieeaii ?icn?thaa/?a; i?e oeueiio iayaia neeueia
caeaaei?noue eiao?oe??ioa i?ici?ino? a?ae aeenia?n?? aaoniaiai
?iciiae?eo.

A e?ioe? ?icae?eo 3 ei?ioei aiae?cothoueny ooiaeuei? niaeo?e
iaaii?yaeeiaaieo oa ia??iaee/ieo IA ?c aeii?oeaie a ciai?oiueiio
iaeii??aeiiio aeaeo?e/iiio iie?. Aeey ?ic?aooie?a aeei?enoaia
noiaeeieiaa ai?ieneiaoe?y, yea ? c?o/iith ? /anoi cono??/a?oueny a
e?oa?aoo??.

I?e iaaaeeeeo cia/aiiyo iiey ciiiee oa?aeoa? ia??iaee/ii? a?aoee c
aeeaieeie oeaio?aie caa??aa?oueny. C?inoaiiy iai?oaeaiino? iiey
noi?iaiaeaeo?oueny iiyaith ooa?e?anueeeo noiaeeiie, i?e/iio ?icoaooaaiiy
ie?aieo ??ai?a, a?aenoaiue i?ae ieie nooo?ai caeaaeeoue a?ae ia?aiao??a
aeeaieeo oeaio??a. Aeey iaaii?yaeeiaaii? IA ciai?oi? aeaeo?e/ia iiea ia
ci?ith? oa?aeoa?o aieeao aeii?oe?a ia ooiaeuei? niaeo?e: caeaaeiino?,
i?iaiae?ciaai? aeua, caeeoathoueny, a iniiaiiio, a nee?.

*aoaa?oee ?icae?e aeena?oaoe?? i?enay/aiee ?ic?aooieo ? aiae?co
aia?aaoe/ieo niaeo??a eaac?ia??iaee/ieo iai?ai?ia?aeieeiaeo iaaea?aoie.
Eaac?ia??iaee/i? nenoaie, ye a?aeiii, oa?aeoa?ecothoueny iacae/aeieie
o?ce/ieie aeanoeainoyie; ?o ?icoi?iiy iio??aia aeey iiyniaiiy iecee
o?ce/ieo i?ioean?a, aea/aiiy oeeo nenoai ia?oey? oaeiae aooe ei?eniei a
canoiniaiiio ieai?.

Oeaio?aeueia i?noea a ?icae?e? caeia? aeine?aeaeaiiy iai?ai?ia?aeieeiaeo
iaaea?aoie O?aiia//?; ?icaeyaeathoueny oaeiae ???a?o?/i? no?oeoo?e. A
aeena?oaoe?? i?iiiiothoueny iia? oeie IA O?aiia//?, a naia oae?, a yeeo
eaac?ia??iaee/ia iiaeoeyoe?y iioaioe?aeo noai?th?oueny ca ?aooiie
aeeaieeo oeaio??a, aaaaeaieo a ia??iaee/io a?aoeo ca caeiiii O?aiia//?.
Aia?aaoe/i? niaeo?e cai?iiiiiaaieo eaac?ia??iaee/ieo iaaea?aoie
ia/eneththoueny ? aiae?cothoueny ca aeiiiiiaith iaoiaeo o?ainoa?ieo
iao?eoeue. ?ioa?aaee aia?a?e, aeey yeeo cia/aiiy eiao?oe??ioa o?aini?n??
aeaeo?iia e??cue a?aoeo aeecuee? aei iaeeieoe?, ooai?ththoue ciiio
no?oeoo?o ?icaeyaeoaaieo IA.

Nii/aoeo ?icaeyaeathoueny iaaea?aoea, noai?aia iine?aeiai?noth
i?yiieooieo iioaioe?aeueieo aa?’???a aenioith V, oe?eiith d; a?aoea
aoaeo?oueny c aeaiaio?a A: oa A:

ye? a?ae??ciythoueny oei, ui a iioaioe?aeueieo aa?`??ao aeaiaio?a A
ciaoiaeyoueny aeeaie? aeii?oee, oi/i?oa, ye ? ?ai?oa, aeii?oeia? ieiueie
aeeaieeo ??ai?a, a oie /an, ye a aeaiaioao A aeii?oe?a iaia?.
Iaaea?aoea eiino?oth?oueny ca?aeii c ?ioeyoe?eiei i?aaeeii O?aiia//?: A
AA, A A. Ianooii? naeaaioe?? (aaia?aoe??) O?aiia//? ni?aa?aeiinyoueny
ye

Sk =Sk-1 Sk-2

aea k iiia? naeaaioe??, S1 =A, S2 =AB. Iioaioe?ae ?icn?thth/eo oeaio??a
iiaeaeth?oueny, ye ? ?ai?oa, ooieoe??th c iiooaei?noth .

I?aaenoaaeai? a aeaiiio oaeno? ?ic?aooiee i?iaaaeai? aeey iaei??? c
iaea?eueo iiioey?ieo oa /anoi aeei?enoiaoaaieo iaaea?aoie ia iniia?
aaoa?ino?oeoo?e GaAsGax-1 Alx As c ia?aiao?aie x = 0.3, V = 0.271 eV, m
= 0.096m0, m = 0.067m0, d = 30 A , w = 40 A . Ia ?enoieo 3 cia?aaeai?
aia?aaoe/i? ae?aa?aie aeey oanoe ii/aoeiaeo aaia?aoe?e O?aiia//?, e?i??
oa oi/ee aeathoue cia/aiiy aeicaieaieo aia?a?e. ?enoieo 3.1 a?aeiia?aea?
cia/aiiy = -0.05 ao.iae., ?enoieai 3.2, 3.3 — = -0.07ao.iae., aeey
?enoie?a 3.1, 3.2 aeii?oeia? ieiueie ?ici?uai? iina?aaeei? aa?’???a, a
aeey ?enoiea 3.3 cia/aiiy a?aenoai? a?ae aeii?oeiaeo oeaio??a aei
iaeaeeae/eo e?aeo aaoa?iiaae xc= 0.35d.

Aiae?coth/e iaea?aeai? ?acoeueoaoe, o?aaa caoaaaeeoe oaea. A?aeiii, ui
?icn?thaa/?, ?ici?uai? a eiaeiiio iioaioe?aeueiiio aa?’??? no?iai
ia??iaee/ii? iaaea?aoee, /eiyoue neeueiee aieea ia ?? aia?aaoe/io
no?oeoo?o [ 1 ], ui iiynith?oueny neeueiith aca?iiae??th aeii?oeiaeo
noai?a ?c ?aciiainaie eaaioiaeo yi oa i?ae niaith. A IA, ye?
?icaeyaeathoueny a aeaiiio ?icae?e?, aeeaie? aeii?oee aeeiiothoue ua
iaeio aaaeeeao ooieoe?th, a naia ooai?ththoue eaac?ia??iaee/io
iiaeoeyoe?th iioaioe?aea no?oeoo?e. A ?acoeueoao? niinoa??aathoueny
aia?aaoe/i? niaeo?e, oa?aeoa? caeaaeiino? yeeo a?ae ia?aiao??a caaea/? ?
aeiaie? neeaaeiei. E?euee?noue i?i?cii, ?o oe?eia oa ?icoaooaaiiy
nooo?ai caeaaeaoue a?ae iiooaeiino? ?icn?thaa/?a, a oaeiae a?ae ?o
iieiaeaiiy ana?aaeei? aa?’???a.

I?aenoiiaoth/e iniaeeaino? aia?aaoe/ieo niaeo??a aeine?aeaeoaaieo
iaaea?aoie O?aiia//?, coieieiinue ia aeayeeo iniiaieo iiiaioao.

1. Aaaaeaiiy aeeaieeo aeii?oe?a a iioaioe?aeuei? aa?’??e IA i?eaiaeeoue
aei ooai?aiiy oa ?aae?caoe?? eaac?ia??iaee/ii? iiaeoeyoe?? iioaioe?aea.
Oea i?iyaey?oueny, cie?aia, a ?icuaieaii? aeicaieaieo aia?aaoe/ieo
i?i?cii, ii/eiath/e c o?aouei?, ca i?aaeeaie iaaea?aoie O?aiia//?.
I?aee?aneeii, ui i?yeiai aeiaeaoeiaiai oaeoi?a eaac?ia??iaee/iino? a
?icaeyaeoaaieo IA ia ?nio?, ? ioaea, iayai?noue aeeaieeo aeii?oe?a ?
naiiaeinoaoiueith i?e/eiith aeey noai?aiiy eaac?ia??iaee/ii? iiaeoeyoe??
O?aiia//? a aeaieo no?oeoo?ao.

2. E?euee?noue aeicaieaieo i?i?cii a eiaei?e aaia?aoe?? O?aiia//?
(ii/eiath/e c o?aouei?) i?aeii?yaeeiao?oueny i?aaeeo:

ZN = n FN +1,

aea n e?euee?noue cii a ia?o?e naeaaioe??, FN = FN-2 + FN-1 /enei
O?aiia//?, ui a?aeiia?aea? N-?e naeaaioe??, F1 =F2 =1. Iaienaia
ni?aa?aeiioaiiy a?aeaeaa? oie oaeo, ui ca ?aooiie aeii?oeiaeo oeaio??a
ooai?th?oueny iaeia aeiaeaoeiaa i?i?ciia aeicaieaieo aia?a?e (ui
ni?aaaaeeeai aeey iaaiiai ae?aiaciio cia/aiue ).

3. O a?aeiia?aeiino? c a?aeiieie caeiiii??iinoyie niaeo??a O?aiia//?
niinoa??aa?oueny ?icoe?aiiy caai?iiaieo (? caoaeaiiy aeicaieaieo)
i?i?cii a eiaei?e ianooii?e aaia?aoe?? (ca aeiyoeii ii/aoeiaeo).

4. Niaeo?e iathoue yne?aai ae?aaeaiee o??aaeiee oa?aeoa?, oiaoi aiie
neeaaeathoueny c o?ueio a?oi cii, oaeeo, ui a?aenoaiue i?ae ie?aieie
a?oiaie ? cia/ii a?eueoith a?ae a?aenoaiae i?ae ciiaie ana?aaeei? aeaii?
a?oie.

5. Oe?eie aeicaieaieo i?i?cii caeaaeaoue a?ae iiooaeiino? ?icn?thaa/?a ,
i?e/iio niinoa??aa?oueny ?icoe?aiiy cii ?c c?inoaiiyi i?e iaeeo
cia/aiiyo , ? caoaeaiiy cii i?e aaeeeeo .

A oaeno? aeena?oaoe?? iaaiaeyoueny ua aeaye? ?io? caeiiii??iino?
niaeo??a cai?iiiiiaaieo IA O?aiia//?. Aeae? a ?icae?e? 4 ?ic?aoiao?oueny
?iaa??aio a?aoie, ui aea/athoueny, ? aiae?cothoueny eiai iniaeeaino?.

Aeua ?icaeyaeaeenue IA O?aiia//?, a yeeo iiaeoeyoe?y iioaioe?aeo
noai?thaaeanue eeoa caaaeyee aeii?oeai aac caeo/aiiy aeiaeaoeiaeo
eaac?ia??iaee/ieo oaeoi??a. Aeae? a /aoaa?oiio ?icae?e?
aeine?aeaeothoueny IA O?aiia//?, a yeeo eaac?ia??iaee/ia iiaeoeyoe?y
noai?th?oueny ca ?aooiie a?aeiiiai i?eeiio aa??aoe?? oiauei
iioaioe?aeueieo aa?’???a, aea aaaaea?oueny, ui a eiaeiee aa?’??
aaaaeai? aeeaie? aeii?oee, ? aiae?co?oueny, ye ?icn?thaa/? aieeaathoue
ia niaeo?e oaei? a?aoee. Ia?aoo?, aea/a?oueny oaea IA O?aiia//?, a ye?e
aeii?oee aaiaeyoueny eeoa a o? aeaiaioe (c eio?eo aoaeo?oueny a?aoea),
ye? iathoue oe?o? aa?’??e, oaeei /eiii a oeueiio aa??aio? IA O?aiia//?
?aae?co?oueny iiaea?eia eaac?ia??iaee/ia iiaeoeyoe?y iioaioe?aeo.
Iieacaii, ui iaea?aeai? niaeo?e aeacaieo aa?n?e IA aeaiiino?othoue ?ene,
aeanoea? eaac?ia??iaee/iiio iioaioe?aeo O?aiia//?, a iaio aeiaaeeao. I?e
oeueiio aianaiiy aeii?oe?a ?noioii iiaeeo?eo? ciiio no?oeoo?o
?icaeyaeoaaieo IA. Caeiiii??iino? aia?aaoe/ieo niaeo??a oeeo a?aoie
iaaiaeyoueny a ?icae?e? 4 aeena?oaoe??.

O ca’yceo ?c aeine?aeaeaiiyi niaeo??a eaac?ia??iaee/ieo IA a e?oa?aoo??
caa?oaeanue oaaaa ia iaeio aaaeeeao ianoaaeio. Ua a ia?oeo ?iaioao,
i?enay/aieo iiaeeeaino? aenia?eiaioaeueiiai noai?aiiy ? aea/aiiy oeeo
no?oeoo?, a?aecia/aeinue, ui ?o niaeo?e ? /ooeeaeie aei aecia/aeueieo
ia?aiao??a aeaiaio?a A, A, c yeeo aoaeo?oueny a?aoea. A ?icae?e? 4
i?iaaaeaii niaoe?aeueiee ?ic?aooiie, yeee iieaco?, ui cai?iiiiiaai? a
aeai?e ?iaio? IA iathoue a oeueiio a?aeiioaii? ia?aaaao iaae ?ioeie.

A i?ae?icae?e? 4.3 iaaiaeyoueny ?acoeueoaoe ?ic?aooieo niaeo??a iaeiiai
c aa??aio?a ???a?o?/ieo iaaea?aoie. I?iiiio?oueny ?icaeyiooe a?aoeo,
yea iiaoaeiaaia c aeaiaio?a A ? A, ui icia/ai? aeua; aiae?co?oueny iaeei
c i?inoeo aa??aio?a ???a?o?/ii? iiaeoeyoe??, i?e yeiio ii?yaeeiaee iiia?
aa?’??a c ?icn?thaa/aie (ui a?aeiia?aea? aeaiaioo A) a eaioethao IA
aei??aith? 2s aeey eiaeiiai ??aiy ???a?o?/iino? s=1, 2, 3,…

Iai?ee?ioe? 4-ai ?icae?eo i?aaenoaaeaii ?acoeueoaoe ia/eneaiue
aia?aaoe/ieo niaeo??a ???a?o?/ieo iaaea?aoie a ciai?oiueiio
iaeii??aeiiio aeaeo?e/iiio iie?. Iaoith oeeo ?ic?aooie?a aoei
i?iaeaiiino?oaaoe i?eioeeiiao iiaeeea?noue, c iaeiiai aieo, ?nioaaiiy, a
c ae?oaiai aiae?co ???a?o?/ieo niaeo??a oa niaeo??a O?aiia//? a
caeaaeiino? a?ae ia?aiao??a caaea/? a ciai?oiueiio aeaeo?e/iiio iie?.

A ?icae?e? 5 ?icaeyaea?oueny ?yae ??cieo iai?ai?ia?aeieeiaeo no?oeoo?
ia’?aeioth/ei ?o ? oa ianoaaeia, ui a iioaioe?aeueieo aa?’??ao oeeo
no?oeoo? ciaoiaeyoueny aeeaie? aeii?oeia? oeaio?e, aieea inoaii?o ia
ooiaeuei? niaeo?e aeine?aeaeoaaieo O?N ? aea/a?oueny a aeaiiio
?icae?e?.

A i?ae?icae?e? 5.1 aiae?co?oueny iiaee eean iai?ai?ia?aeieeiaeo
iaiino?oeoo? iacineii?/ieo e?enoae?a, ui yaeythoue niaith iaeiiaei??io
iaaea?aoeo, ?oo aeaeo?ii?a a ye?e a?aeaoaa?oueny a aae?noe/iiio ?aaeei?
[ 3 ]. Oi?eaeueia ii?aeiaiiy aeanoeainoae iaaea?aoie c aenieei ??aiai
eaaioiai? eiaa?aioiino? oa iecueeith ?ici??i?noth ?iaeoue iacie?enoaee
aaaeeeaei oa ia?niaeoeaiei ia`?eoii aeine?aeaeaiue. Aa?oi oaeiae
caoaaaeeoe, ui iacie?enoaee ii noo? ii?aeiothoue a nia? O?N oa eaaioia?
oaeeueiaiaee, ye? ?ai?oa aea/aeeny i?aeoe/ii iacaeaaeii iaei? a?ae
?ioeo.

sse cae/aeii, eaaioiaee ae??o ?icaeyaea?oueny ye aeaiaei??iee
oaeeueiaiae. A ?aieao iaoiaeo aoaeoeaii? iane oaeeueiaa ooieoe?y
caaeiaieueiy? aeaiaei??iiio ??aiyiith O?aae?iaa?a. *a?ac oa, ui
iiaeoethth/ee iioaioe?ae caeaaeeoue eeoa a?ae iiacaeiaaeiuei?
eii?aeeiaoe x, ?? iiaeia a?aeie?aieoe a?ae iiia?a/ii? y ? i?aaenoaaeoe
oaeeueiao ooieoe?th o aeaeyae?

psi=exp(-bx)
( 12 )

aea b oe?eia eaiaeo. I?eionoeii, ui iioaioe?aeuei? aa?’??e a x iai?yieo
? i?yiieooieie, a oaeiae, ui a eiaeiiio aa?’??? ? iaeia ieiueia
aeii?oeiaeo ??ai?a. Oiae? ??aiyiiy aeey oaeeueiai? ooieoe?? a aa?’??ieo
iaeanoyo caieno?oueny oae

psi(x)=Aexp(V/E-bx),
( 13 )

aea V -aenioa iioaioe?aeueieo aa?’???a. sse iieacaii a [ 3 ],
i?ia?aei?noue iacie?enoaea a aeaiaei??iiio aeiaaeeo ae?aaea?oueny /a?ac
iaeiiaei??io i?ia?aei?noue, a oa a naith /a?ao ae?aaea?oueny /a?ac
eiao?oe??io o?aini?n?? O ni?aa?aeiioaiiyi Eaiaeaoa?a oiio c?o/ii
aiae?coaaoe naia aaee/eio O.

?ica’ycie oeueiai ??aiyiiy iieaco?, ui aeii?oee /eiyoue neeueiee aieea
ia aia?aaoe/iee niaeo? iacie?enoaea. Oae, cie?aia, i?ae aieeaii
aeii?oe?a iiaeeeaei ? iaeaea iiaia a?aeiiaeaiiy ieaoi, c?oeiiaaia a
iacie?enoae? iaaea?aoeiaith iiaeoeyoe??th iioaioe?aeo. Oaeiae i?ae
ae??th ?icn?thaa/?a a?aeaoaa?oueny nooo?aee cnoa ?aciiain?a ii in?
aia?a?e, aeaye? c ieo iiaeooue iionoeoeny a i?aeaa?’??io iaeanoue.
?aciiaine noathoue iaio aino?eie, a?aenoaiue i?ae ieie c?inoa?. Aa?oi
caoaaaeeoe, ui i?e aaeeeeo oiaueiao aa?’???a iaeneiaeueia cia/aiiy O
noa? iii?oii iaioei a?ae iaeeieoe?; a oe?e neooaoe?? i?enooi?noue
aeii?oe?a iiaea i?eaiaeeoe aei cia/iiai c?inoaiiy O.

?ioith no/aniith iai?ai?ia?aeieeiaith no?oeoo?ith, a ye?e iiaeia ei?enii
ii?aeiaoe aeanoeaino? eaaioiaeo oaeeueiaiae?a oa O?N, ? L-iiae?aiee
aeaeo?iiiee oaeeueiaiae. A i?ae?icae?e? 5.2 ?ic?aoiao?oueny eiao?oe??io
i?iieeiino? aeaeo?iiii? oaee? /a?ac oaeee oaeeueiaiae, a eoo yeiai
i?iiiio?oueny aaanoe iioaioe?aeueiee aa?’??, ui i?noeoue aeeaie?
aeii?oeia? oeaio?e.; oaeeueiaiae noaiaoe/ii cia?aaeaii ia ?enoieo 4.
Noai?eoe oiiae aeey ?aciiainiiai ooiaethaaiiy a aeai?e nenoai? iiaeia ii
??ciiio; ie nieieeenue ia aa??aio?, a yeiio aeei?enoiaothoueny aea?
ieiueie aeeaieeo ??ai?a, ?icoaoiaai? a iaeanoyo 2 oa 5. A eiaei?e
naeoe?? oaeeueiaiaeo ci?ii? o a?aeiia?aeiiio ??aiyii? O?aae?iaa?a
?icae?eythoueny, ? eiai ?ica’ycie ia? oaeo caaaeueio oi?io

psi=psi( n,x)+psi(m,z,kz),
( 14 )

aea z a?aeiineoueny aeo in?, acaeiaae yei? iioe?th?oueny aeaeo?iia
oaeey, ez z-aee eiiiiiaio oaeeueiaiai aaeoi?a, a n ? m oea iiaeia?
?iaeaene ca’ycaieo noai?a ?ica’yce?a a x oa y iai?yieao. Aeey coeaaiiy
oaeeueiaeo ooieoe?e ia iaaeao ?icae?eo ??cieo naeoe?e aeei?enoiao?oueny
iaoiae iiaeiaiai coeaaiiy; nenoaia ??aiyiue aeey eiao?oe??io?a aeanieo
ooieoe?e ?ica’yco?oueny /enaeueii a eiao?oe??io o?aini?n?? ooea?oueny ca
oi?ioeith

T=spur(psi(m,z,kz)),
( 15 )

aea i?aenoiiaoaaiiy aaaeaoueny ii an?o o?ainii?oieo eaiaeao.

Iniiaiei ?acoeueoaoii i?iaaaeaieo ia/eneaiue ? oa, ui cia/aiiy
eiao?oe??ioa i?iieeiino? O i?e iaaieo ia?aiao?ao iiaea aooe aeecueeei
aei iaeeieoe? oea icia/a?, ui a cai?iiiiiaaiiio eaaioiaiio oaeeueiaiae?
a?aeaeaaiiy aeaeo?iiii? oaee? a eoo? caaaeyee ?aciiainiiio ooiaethaaiith
i?aeoe/ii ia i?iyaey?oueny (aeey ?aciiainieo aia?a?e). Ine?eueee oaea
a?aeaeaaiiy i?eaiaeeoue aei cia/iiai ciaioaiiy aaee/eie O a aiaeia?/ieo
oaeeueiaiaeao aac aeii?oe?a, oi aeniiaeii ? oa, ui ?icaeyaeoaaia ooo
no?oeoo?a iiaea neoaoaaoe aeey i?aeaeuaiiy aeaeo?iiii? o?aini?n??,
iniaeeai o aeiaaeeao, eiee i?yiieooieie aeaiaioaie niieo/athoueny
aeae?eueea oaeeueiaiae?a.

Aeey aeinyaiaiiy a?eueoi? aio/eino? o ?aaoethaaii? aia?aaoe/ieo niaeo??a
aeei?enoiaothoueny IA ?c a?eueo neeaaeiei aacenii, i?ae i?ino?
i?yiieooi? aa?’??e. Aei oaeeo no?oeoo? a?aeiinyoueny ? aeueoa?iiaai?
iaaea?aoee (AIA). A ?icae?e? 5 aiae?cothoueny AIA ?c ci?iiith oiaueiith
aa?’???a; ia/eneththoueny aia?aaoe/i? niaeo?e ??cieo oei?a AIA aac oa c
aeeaieeie aeii?oeaie a aa?’??ao. ?ic?aooiie i?iaiaeeoueny a ?aieao
iaaeeaeaiiy aoaeoeaii? iane ca aeiiiiiaith iaoiaeo o?ainoa?-iao?eoeue.

Caoaaaeeii ia?o ca ana, ui niaeo?e AIA ? iaaecae/aeii ??ciiiai?oieie oa
aaaaoeie. Aiie ?noioii caeaaeaoue a?ae oaeeo /eiiee?a, ye e?euee?noue
ia??iae?a o a?aooe? (cie?aia, ia?ia /e iaia?ia), yeee aa?’?? (oiauee /e
oiioee) ? ia?oei ii a?aeiioaiith aei iaaeath/i? aeaeo?iiii? oaee? ?
o.?.. Aaaeeeai, ui aaaaeaiiy aeii?oie aaea a iaeei (c on?o) aa?’??
i?eaiaeeoue aei neeueii? iiaeeo?eaoe?? aia?aaoe/ieo niaeo??a, i?e
oeueiio niaeo?e iiaeooue ci?ithaaoenue aeiei??iii, a ?icaeyaeoaaia
nenoaia ? aaniethoii ianeiao?e/iith aei aaaaeaiiy aeii?oie a ??ci?
aa?’??e: iayai?noue aeeaieeo oeaio??a a eiaeiiio ?ioiio aa?’??? ia?
naith niaoeeo?/io ae?th ia niaeo?e.

Aeey ?ethno?aoe?? neacaiiai ia ?enoieo 5 iaaaaeaii ooiaeuei? niaeo?e
aeey /ioe?eaa?’??ii? AIA, caoaeiaaii? ia aac? no?oeoo?e Si-SiC. E?ea?e
5.1 a?aeiia?aea? aeiaaeie a?aenooiino? aeii?oie a IA ( = 0 ), aeey
?ioeo = -0.08 ao.iae., aea aeey e?eaeo 5.2, 5.3, 5.4, 5.5 aeii?oee
?niothoue eeoa a 1-io, 2-io, 3-io, 4-io aa?’??? a?aeiia?aeii aeey
c?o/iino? oe? niaeo?e iicia/aii ye A1, A2, A3, A4). Aeaeii, ui o ?ac? A4
ye?ac ia i?noe? caai?iiaii? ciie ooai?th?oueny ?ioa?aae aia?a?e ?c O =
1; aeey A1, iaaiaee, caai?iiaia ciia iiaeeaeth?oueny. sseui aeey
aeiaaee?a A2 oa A3 iayaia cia/ia ciaioaiiy O aeey e?aei?o ?aciiain?a, oi
aeey A4 ia? i?noea neeueia ?o iiaeaaeaiiy, a o ?ac? A1 e?aei? ?aciiaine
i?aeoe/ii ia i?yaeythoueny, oae ui iiaeia aiai?eoe i?i ?o cieuaiiy.
??ciiiai?oi? iiaeeo?eaoe?? niaeo??a iiaeia iaea?aeaoe, aaiaey/e aeii?oee
a aeae?eueea aa?’???a iaeii/anii. ?io? iiaeeeaino? ?aaoethaaiiy niaeo??a
AIA iaaaaeaii a oaeno? aeena?oaoe??. Iaea?eueoee aieea ia niaeo?e
aeii?oee /eiyoue a oeo aeiaaeeao, eiee aiie aaaaeai? a iaoee /e inoaii?e
aa?’??e, aea ae?y ?o ia niaeo?e a oeeo aeaio aeiaaeeao aeoaea
a?ae??ciy?oueny.

Oaeei /eiii, iieacaii, ui aaaaeaiiy aeeaieeo oeaio??a o aa?’??e
aeueoa?iiaaieo O?N aea? ciiao iaea?aeoaaoe ??ciiiai?oi? aa??aoe??
aia?aaoe/ieo niaeo??a ?icaeyaeoaaieo no?oeoo?.

A ?icae?e? 5 oaeiae i?iaiae?ciaaii aia?aaoe/iee niaeo? aeaoaeoii? IA c
?icn?thaa/aie a iioaioe?aeueieo aa?’??ao. ?ic?aooiie i?iaaaeaii aeey
eiie?aoiiai aeaeo aeaoaeo?a, coiiaeaiiai oei, ui oe?eia iaei??? c yi IA
? a?eueoith a?ae ?ioeo.

sseui aeua iiaa eoea i?i aeine?aeaeaiiy, ia’?eoaie yeeo aoee iia?oi?
no?oeoo?e, oi a 6-io ?icae?e? ?icaeyaea?oueny aeia?a aea/aia ? oe?iei
canoiniaoaaia no?oeoo?a eiioaeo iaoae-iai?ai?ia?aeiee. Iieaco?oueny
iiaeeea?noue aeieeiaiiy iaaaoeaiiai aeeoa?aioe?aeueiiai iii?o a aa?’???
Oioe?, iaeanoue i?inoi?iaiai ca?yaeo (IIC) yeiai i?noeoue aeeaie?
aeii?oeia? oeaio?e. ?icaeyaea?oueny eiioaeo iaoaeo c iai?ai?ia?aeieeii
n-oeio, iainiiaieie iin?yie ca?yaeo iaooo?ii. ?ai?oa aoei iieacaii, ui a
EII c aeeaieeie oeaio?aie iiaeeeaei ? nooo?aei ? ooiaeueii-?aciiainiee
no?oi, oiaoi no?oi, i?e yeiio aeaeo?iie i?ioiaeyoue IIC ?c
“ia?anaaeeith” ia aeii?oeao. Aaaaeaeiny, ui aeeaie? aeii?oee
?iciiae?eai? a IIC iaeii??aeii. A aeaiiio ?icae?e? aeena?oaoe??
ciaoiaeyoueny aieueo-aiia?i? oa?aeoa?enoeee aeey ooiaeueii-?aciiainiiai
no?oio aeey aeia?eueieo i?io?e?a ?iciiae?eo aeeaieeo oeaio??a a
?icaeyaeoaai?e no?oeoo??.

Aieueo-aiia?i? caeaaeiino? iiaeia iaea?aeaoe, aeoiaey/e ?c a?aeiiiai
eaaioiaiiaoai?/iiai ae?aco aeey aonoeie no?oio ?iia??iino?

I=Im(psi)psi+psiIm(psi).
( 16 )

Iaiao?aei? aeey oeueiai oaeeueia? ooieoe?? iiaeia ae?aceoe /a?ac
iaeii/anoeieiao ooieoe?th A??ia caaea/?, a ye?e a?aoiao?oueny ye
iioaioe?ae aeii?oeiaiai oeaio?a, oae ? iayai?noue iioaioe?aeueiiai
aa?’??a IIC. Ei?ioeiae?th/ee iioaioe?ae aeeaieiai oeaio?a iiaeaeth?oueny
-iiae?aiith ooieoe??th. ?acoeueoao ia/eneaiiy aeanii? ooieoe?? ia? oaeee
aeaeyae

psi(E)=G0psi0(V,e)/psi1(E,r),
( 17 )

aea psi0 — oaeeueiaa ooieoe?y aeaeo?iia a IIC aac aeii?oie, G0 —
a?aeiia?aeia ooieoe?y A??ia, V — iioaioe?aeueia aia?a?y a IIC, a
aeii?oea ? eieae?ciaaiith a oi/oe? r .

Aeey oiai, uia ciaeoe iiaiee ?aciiainiee no?oi, o?aaa, ii-ia?oa,
i?aenoioaaoe aianee a no?oi a?ae aeaeo?ii?a c ??ciith aia?a??th A,
ii-ae?oaa, aeeth/eoe a ?icaeyae anth noeoii?noue aeii?oeiaeo oeaio??a.
Oiae? iiaiee ?aciiainiee no?oi aecia/a?oueny ae?acii

I=spur(psif(E)),
( 18 )

aea f(E) ooieoe?y ?iciiae?eo aeaeo?ii?a ca aia?a?yie.

A ?acoeueoao? iiaeaeueoeo ia/eneaiue ooiaeueii-?aciiainiee no?oi iiaeia
iiaeaoe o oaeiio aeaeyae?

I=I(V,Et,F)
( 19 )

aea V oa At aenioa iioaioe?aeueiiai aa?’??a IIC oa
iioaioe?ae ?ii?caoe?? aeeaieiai oeaio?a a?aeiia?aeii, F iai?oaeai?noue
iiey a IIC (aaaaea?oueny noaeith aaee/eiith),

O ?ac? iaeii??aeiiai ?iciiae?eo aeii?oe?a: N(z)=const, ?ioaa?oaaiiy ii z
i?eaiaeeoue aei iiiioiiii c?inoath/i? (?c ca?eueoaiiyi F) AAO; aiaeii/an
c?icoi?ei, ui i?e ?ioiio aeai?? N(z) iiaeeea? ? iaiiiioiii? caeaaeiino?.
Coieieiinue aeae? ia aeiaaeeo iayaiino? aeii?oe?a eeoa o aocueeiio oa??
iai?ai?ia?aeieea ana?aaeei? eiai IIC oeae aeiaaeie aeeth/a? a naaa ?
neooaoe?th, a?aeiio i?ae iacaith -eaaoaaiiy. Eiie?aoiee ?ic?aooiie
i?iaaaeaii, caaeath/e aaoniao oi?io aeey N(z).

Aiae?c iieaco?, ui a ?icaeyaeoaaiiio aeiaaeeo iiaea ?aae?coaaoenue
iaaaoeaiee aeeoa?aioe?aeueiee ii?? (IAeI). sseui iienoaaoe AAO,
caaeath/e ?? aeeoa?aioe?aeueiee iaoee oi a
iaeano? IAeI aeey iaea?aeo?ii (aeeiio?oueny oiiaa Eak
iiaeiai aeieeiooe aeeaieee ??aaiue. I?e oeueiio aaee/eia ak
aecia/a?oueny ye oa?aeoa?enoeeaie e?enoaea, oae ? aeii?oeiaiai oeaio?a.
Eiie?aoi? ?ic?aooiee i?iaaaeeeenue aeey nenoaie: aeii?oee aoii?a oinoi?
a?oie oaaeeoe? Iaiaeae??aa eenaiue, n??ea, naeai, oaeo? a e?enoae?
a?nai?aeo aae?y. Aeii?oeia? aoiie a aeai?e iiaeae? a?ae??ciythoueny eeoa
aoaeoeaiei ca?yaeii ?o ?ii?a. Ia/eneai? cia/aiiy aia?a?? aeii?oeiaeo
noai?a iaea?aeai? ca aeiiiiiaith aeai?o oaeiai cia/aiiy ia?aiao?a a aeey
GaAs, yea caaacia/o? ?nioaaiiy aeeaieiai ??aiy aeey eenith i?ioa eeoa
i?eeeo ??ai?a aeey ?ioeo aeii?oe?a. Iaea?aeai? ?acoeueoaoe ye?nii
ocaiaeaeothoueny c aenia?eiaioii.

Oaeei /eiii, canoiniaaia i?inoa iiaeaeue iieaco?, ui a?aooaaiiy
i?inoi?iai? aeenia?n?? ae?aeaeo?e/ii? i?iieeiino? aea?, iaaooue, ciiao
iiynieoe oaeo iiyae ye aeeaieeo, oae ? i?eeeo aeii?oeiaeo ??ai?a a
iai?ai?ia?aeieeao.

Oaeiae, a ?icae?e? 7 ?ic?aoiao?oueny ae?aeaeo?e/ia ooieoe?y aeey
iai?ai?ia?aeiee?a ?c aocueeith caai?iiaiith ciiith (Ag ~ 0). Oey
ooieoe?y, ye a?aeiii, aeei?enoiao?oueny i?e iiaoaeia? oeo /e ?ioeo
iiaeaeae aeii?oeiaeo noai?a a iai?ai?ia?aeieeao. Aeey ia/eneaiiy
ae?aeaeo?e/ii? i?iieeiino? aeei?enoiao?oueny aeia?a a?aeiiee ae?ac,
iaea?aeaiee a ?aieao iaaeeaeaiiy aeiaaeeiaeo oac iaoiaeii
naiiocaiaeaeaiiai iiey

( 24 )

e(r)=n,kexp(q,r)m,k/E(k)N,

(aoiii? iaeeieoe?). Aeey oiai, uia ?ic?aooaaoe aaee/eio , iaiao?aeii
ciaoe ciiio no?oeoo?o e?enoaea: aia?aaoe/iee niaeo? An(e) ? aeani?
ooieoe?? psi (k, r) . N a ??aiyii? ( 24 ) — /enea caiiaiaiiy
aeio?anueeeo noai?a. A aeai?e ?iaio? aeei?enoiao?oueny ?aaeueia
eaei?anueea iiaeaeue ciiii? no?oeoo?e, yea, ye a?aeiii, aeia?a
i?aeoiaeeoue aei iai?ai?ia?aeiee?a c aocueeith caai?iiaiith ciiith.
Ia/eneaiiy nii/aoeo i?iaiaeyoueny ?c canoinoaaiiyi a?aeiinii i?inoiai
aai?eueoii?aio, a yeiio iaooo?oueny ni?i-i?a?oaeueiei ?icuaieaiiyi, a
aieea aa?oi?o cii a?aoiao?oueny a ni?iuai?e oi?i?. Oaea iaaeeaeaiiy
aeyaey?oueny aeinoaoi?i aeey oiai, uia iaea?aeaoe aiae?oe/io
caeaaei?noue ae?aeaeo?e/ii? i?iieeiino? a?ae ae?enieo ia?aiao??a
iai?ai?ia?aeiee?a (oaeeo, ye i?i?iaeueia oe?eia caai?iiaii? ciie,
aoaeoeaia iana iin??a ca?yaeo, noaea a?aoee), yea ye?nii ocaiaeaeo?oueny
c aenia?eiaioaeueieie oaeoaie. Aeae? i?iaiaeyoueny ?ic?aooiee a a?eueo
neeaaei?e iiaeae? ciiii? no?oeoo?e iai?ai?ia?aeiee?a.

Ioaea, ?icaeyiaii iai?ai?ia?aeiee, ciiia no?oeoo?a yeiai
iieno?oueny oaeei aai?eueoii?aiii

H=Eg+ak -bk +p,
( 25 )

aea Ag i?i?iaeueia oe?eia caai?iiaii? ciie, ? iao?e/iee aeaiaio
?iioeueno, a /eaie ak, bk a?aeiia?aeathoue ca
aieea aa?oi?o cii. Ciaoiaey/e aia?aaoe/iee niaeo? oa aeani? ooieoe??,
ye? a?aeiia?aeathoue aai?eueoii?aio ( 25 ), iiaeia ia/eneeoe ? iao?e/i?
aeaiaioe, ui aoiaeyoue o ae?ac aeey . Aeey ae?aeaeo?e/ii? i?iieeiino?
c?aooith iaea?aeo?ii

e(r,q)=1+ta(n,s) +ta(l,h,s)
( 26 )

aea ta=f(ns,l,h). Ae?oaee /eai a i?aa?e /anoei? ??aiyiiy ( 26 )
a?aeiia?aea? a??ooaeueiei ia?aoiaeai i?ae s-ae??eiaith ciiith oa ciiith
i?ia?aeiino?, a o?ao?e /eai i?ae l, h — ae??eiaeie ciiaie oa ciiith
i?ia?aeiino?.

Aeey aeiaaioaeeueiai? iaae? ae?aeaeo?e/ii? i?iieeiino?,
?ioaa?oth/e ??aiyiiy ( 26 ) ii an?o ca/aiiyo e, ui ciaoiaeyoueny
ana?aaeei? eoe?, ??aiith ca ia’?iii ia?o?e cii? A?eethaia (c ?aae?onii
kb ), iaea?aeo?ii

e(q=0)= e(f(ta(n,s)+f(ta(l,h,s)).
( 27 )

Oeae ae?ac iiaeia cia/ii ni?inoeoe, yeui acyoe aei oaaae ia??ai?noue, ui
aeia?a aeeiio?oueny: A <1 . Oiae? ia?ii e(q=0)=e(f(ta(n,s)). ( 28 ) Caoaaaeeii, ui iiyaa iniiaiiai (inoaiiueiai) /eaia a oi?ioe? ( 28 ) ? i?yiei iane?aeeii oiai, ui ?nio? ia iaeia, a aeae?eueea ae??eiaeo cii. Ae?aeaeo?e/ia noaea eiaa?eoi?/ii ciaioo?oueny ?c ca?eueoaiiyi u?eeie i?ae ciiith i?ia?aeiino? oa aaeaioiith ciiith. Ooo aeei?enoiao?oueny ni?iuaia iiaeaeue ciiii? no?oeoo?e, oiio /ei iaioith ? caai?iiaia ciia, oei e?aua aeeiio?oueny caeii ( 28 ). Iaea?aeaia neaaea caeaaei?noue ae?aeaeo?e/ii? i?iieeiino? a?ae A i?aeoaa?aeaeo?oueny aeey ?yaeo iai?ai?ia?aeiee?a oeio A3A5 (oaeeo ye InSb, InAs, InP, GaAs, GaSb). Iaea?aeai? ae?ace aeey e(q) aeathoue iiaeeea?noue i?iaiae?coaaoe ?? aeey aeiaaee?a aacu?eueiaeo iai?ai?ia?aeiee?a. sse aeieeaa? ?c ??aiyiiy ( 27 ), ia? i?noea iiaia ae?aioaaiiy ciai?oiueiai iiey ia aeaeaeeo a?aenoaiyo o aeiaaeeo, eiee Ag =0 oa o ?ac?, yeui Ag< 0. A ia?oiio c oeeo aeiaaee?a ciia i?ia?aeiino? ia? eii?/io oi?io i?e iaeeo e, a a ae?oaiio ciia i?ia?aeiino? ? ia?aaie?/iith. Oea icia/a? ye?nii ??ci? caeaaeiino? a?ae q i?e q -- 0 aeey oaeeo ciiieo no?oeoo?: a) A = 0; ia? ne?i/aiio aaee/eio, ui aecia/a?oueny ( 27 ); a) A < 0; ??aiyiiy ( 27) aea? e=1+1/pln(q). A oeueiio ?ac? iioaioe?ae oi/eiaiai ca?yaeo iiaiaeeoue naaa, ye V(r)=1/r ia aaeeeeo a?aenoaiyo a?ae oeaio?a; a) A > 0;

Eg/p,qw

aea w — aaee/eia ni?i-i?a?oaeueiiai ?icuaieaiiy (inoaiiy caeaaei?noue
iaea?aeaia ?c aeei?enoaiiyi oi/i?oiai aai?eueoii?aio, i?ae ( 25 )).
Oaeei /eiii, aoaeo ae?aioaaiiy a aacu?eueiaeo iai?ai?ia?aeieeao c
ia?aaie?/iith ciiith i?ia?aeiino? ? neeuei?oei, i?ae a e?enoaeao ?c
eii?/iith ciiith i?ia?aeiino?, aea ? neaae?oei, i?ae a iaoaeao.

I?ae?icae?e 7.2 i?enay/aiee ?ioiio ieoaiith, ca`ycaiiio c
i?iaeaiith ooai?aiiy aeeaieeo noai?a. sseui cae/aeii a
ooiaeueii-?aciiainieo no?oeoo?ao ?icaeyaeathoueny ca`ycai? aeaeo?iii?
noaie, ye? ooai?ththoueny i?e ?on? iin??a ca?yaeo a i?inoi??,
iaiaaeaiiio aaoa?iiaaeaie, oi ooo aiae?cothoueny noaie aeaui ?ioi?
i?e?iaee. Iieaco?oueny, ui ca`ycaoenue ia aeii?oeiaiio iioaioe?ae?
iiaeooue aeaeo?iie, ye? ?ooathoueny a ia?iaiaeeeoey?iiio aei aaoa?iiaae
iai?yieo. ?icaeyaea?oueny neiao?e/ia AeAO?N, a iaeano? eaaioiai? yie
yei? ?nio? aeii?oeiaee iioaioe?ae. Aia?aaoe/iee niaeo? aeaii? caaea/?
iiaeia iienaoe, ciaeoiaoe ooieoe?th A??ia nenoaie ?c cao?thth/ei
iioaioe?aeii, oiaoi ?ica`ycaaoe ??aiyiiy, aiaeia?/ia ( 1 ). ?ica`ycie
iieaco?, ui a aeine?aeaeoaai?e nenoai? iiaeooue aeieeaoe aeeaie?
aeaeo?iii? noaie; iaea?eueo oa?aeoa?iith ?o ?enith ? oa, ui caeaaei?noue
aia?a?? ca`ycaiiai noaio a?ae oe?eie eaaioiai? yie, a oaeiae a?ae aenioe
aa?`???a, ia? inoeeethth/ee oa?aeoa?.

Oeeoiaaia e?oa?aoo?a.

1. Beltram F., Capasso F. Interaction phenomena between deep levels and
minibands in semiconductor superlattices // Phys.Rev.
B.-1988.-38.-P.3580-3582.

2. Oaea Ae.E. Oai?ey yeaeo?iiiuo i?ioeannia a eiioaeoiie no?oeoo?a
iaoaee-iieoi?iaiaeiee : Aeen… aeieoi?a oec.iao. iaoe: 01.04.10.- E.,
1985. -398n.

3. Ulloa S., Castano E., Kirchenov G. Ballistic transport in a novel one
dimensional superlattice // Phys. Rev. B.-1990.-41.-P. 12350-12357.

Aeniiaee.

A aeena?oaoe?? iaea?aeaii ? i?iaiae?ciaaii ooiaeuei? niaeo?e
iaaii?yaeeiaaieo iai?ai?ia?aeieeiaeo iaaea?aoie c aeeaieeie aeii?oeiaeie
oeaio?aie a iioaioe?aeueieo aa?`??ao. Iieacaii, ui aeanoeaino? oaeeo IA
ea?aeeiaeueii a?ae??ciythoueny a?ae aeanoeainoae iaaii?yaeeiaaieo a?aoie
aac ?icn?thaa/?a, cie?aia, iaeei c aeaaea aaaeeeaeo ?acoeueoao?a iieyaa?
a oiio, ui i?e aianaii? aeii?oie a aa?`??e iaaii?yaeeiaaia IA iiaea
noaoe aaniethoii i?ici?ith i?e iaaieo — ?aciiainieo — aia?a?yo (a
oe?ieiio ?ioa?aae? cia/aiue ia?aiao??a). I?e oeueiio niinoa??aa?oueny
cia/ia — ia ii?yaeee — ca?eueoaiiy iaeneiaeueiiai cia/aiiy
eiao?oe??ioa ooiaeueii? o?aini?n?? aeaeo?iia e??cue a?aoeo.

I?iaaaeaii aeaoaeueiee aiae?c ooiaeueieo niaeo??a iaaii?yaeeiaaieo
iaaea?aoie a caeaaeiino? a?ae ia?aiao??a caaea/?. I?e oeueiio ?icaeyiooi
??ci? oeie iaaii?yaeeiaaieo IA, a oaeiae a?aoee, ui ciaoiaeyoueny a
ciai?oiueiio iaeii??aeiiio aeaeo?e/iiio iie?.

Iaea?aeaii ?ioee oe?eaaee ?acoeueoao, a naia, iaiiiioiiio
caeaaei?noue eiao?oe??ioa i?ici?ino? a?ae oiaueie iioaioe?aeueieo
aa?`???a iaaii?yaeeiaaii? iaaea?aoee c aeeaieeie oeaio?aie.

Oaeei /eiii, aeiaaaeaii neeueiee eiino?oeoeaiee aieea aeeaieeo
oeaio??a ia i?ioeane a iaaii?yaeeiaaieo iaaea?aoeao: i?iaeaiiino?iaaia
iiaeeea?noue aeaeieae?caoe?? aeaeo?iiieo noai?a ?c a?aeiia?aeieie
iane?aeeaie a a ?o o?ainii?oieo aeanoeainoyo.

Cai?iiiiiaaii iia? aa?n?? eaac?ia??iaee/ieo iai?ai?ia?aeieeiaeo
iaaea?aoie — a yeeo iiaeoethth/ee eaac?ia??iaee/iee iioaioe?ae
noai?th?oueny ca aeiiiiiaith aeeaieeo aeii?oie. Aeiaaaeaii i?eioeeiiao
iiaeeea?noue ooai?aiiy eaac?ia??iaee/ii? iiaeoeyoe?? o?eueee ca ?aooiie
aeeaieeo oeaio??a — aac caeo/aiiy ?ioeo oaeoi??a eaac?ia??iaee/iino?,
oiaoi iieacaii, ui aaaaeaiiy aeeaieeo aeii?oie a ia??iaee/io IA ?
naiiaeinoaoiueith i?e/eiith aeey aeieeiaiiy eaac?ia??iaee/ii?
iiaeoeyoe?? iioaioe?aeo.

Aeine?aeaeaii aeae?eueea aa?n?e eaac?ia??iaee/ieo
iai?ai?ia?aeieeiaeo iaaea?aoie O?aiia//?. I?iaiae?ciaaii iniaeeaino?
aia?aaoe/ieo niaeo??a, a oiio /ene? ?iaa??aioa, cacia/aieo no?oeoo?.
Iieacaii, ui cai?iiiiiaai? aa?n?? iaaea?aoie O?aiia//? iathoue iaai?
ia?aaaae ia?aae a?aeiieie a e?oa?aoo?? c oi/ee ci?o ?o i?aeoe/iiai
aeine?aeaeaiiy ? aeei?enoaiiy.

Cai?iiiiiaaii iiaee oei eaac?ia??iaee/ieo ???a?o?/ieo iaaea?aoie,
eaac?ia??iaee/ia iiaeoeyoe?y yeeo noai?th?oueny aeeaieei oeaio?aie.
I?iaiae?ciaaii oa?aeoa? aia?aaoe/ieo niaeo??a oaeeo iaaea?aoie (cie?aia,
a ciai?oiueiio iaeii??aeiiio aeaeo?e/iiio iie?).

Iieacaii, ui aaaaeaiiy aeii?oeiaeo oeaio??a a iacineii?/iee e?enoae
(iaeiiaei??io aae?noe/io iaaea?aoeo) aea? ciiao a oe?ieeo iaaeao,
oe?eani?yiiaaii ?aaoethaaoe aia?aaoe/iee niaeo? inoaiiueiai.

Aeiaaaeaii iiaeeea?noue ?aciiainiiai ooiaethaaiiy a L-iiae?aiiio
eaaioiaiio ae?io? (oaeeueiaiae?) e??cue aa?`?? c aeii?oeiaeie oeaio?aie,
yeee cai?iiiiiaaii aaiaeeoe a eoo oe??? no?oeoo?e. I?iaiae?ciaaii
o?ainii?oi? aeanoeaino? oaeiai oaeeueiaiaeo ? iieacaii, ui caaaeyee
aeii?oeai iiaeia aeinyaaoe nooo?aiai ciaioaiiy ao?ao a iiooaeiino?
aeaeo?iiii? oaee? i?e i?ioiaeaeaii? ?? /a?ac oaeeueiaiae.

Oaeei /eiii, i?iaeaiiino?iaaii iiaeeea?noue ca aeiiiiiaith
aeii?oeiaeo oeaio??a nooo?ai iie?iooaaoe o?ainii?oi? aeanoeaino? ?
oe?iei ?aaoethaaoe ooiaeuei? oa?aeoa?enoeee oaeeo iai?ai?ia?aeieeiaeo
iaiino?oeoo?, ye iacineii?/iee e?enoae oa L-iiae?aiee eaaioiaee
oaeeueiaiae, oiaoi oaeeo ia`?eo?a, a yeeo ii?aeiothoueny aai
eiia?iothoueny aeanoeaino? ooiaeueii-?aciiainieo oa iecueeiaei??ieo
no?oeoo?.

Iaea?aeaii ?acoeueoaoe aiae?co aia?aaoe/iiai niaeo?a aeaoaeoii?
iaaea?aoee c ?icn?thaa/aie a iioaioe?aeueieo aa?`??ao (iae?ineii?/iee
aeaoaeo coiiaeaiee oei, ui oe?eia iaei??? ?c eaaioiaeo yi
a?ae??ciy?oueny a?ae ?ioeo).

?ic?aoiaaii ? i?iaiae?ciaaii aia?aaoe/i? niaeo?e oaeiai aaaeeeaiai
iai?ai?ia?aeieeiaiai ia`?eoo, ye aeueoa?iiaai? iaaea?aoee.
I?iaiae?ciaaii aia?aaoe/i? niaeo?e ??cieo oei?a aeueoa?iiaaieo IA c
iaiaeiaeiaeie oiaueiaie aa?`???a. Aeyaeaii aaaeeea? iniaeeaino? niaeo??a
aeacaieo no?oeoo?; iieacaii, ui ?icaeyaeoaai? niaeo?e ? aeoaea /ooeeaeie
aei aaaaeaiiy aeeaieeo aeii?oe?a a aa?`??e aeueoa?iiaaieo iaaea?aoie.

Iaea?aeaii ?acoeueoaoe ?ic?aooieo ?iia??iino? ooiaeueii? ?ii?caoe??
aeeaieiai aeii?oeiaiai oeaio?a iiaeeco a?eueii? iiaa?oi?
iai?ai?ia?aeieea ca ?aooiie ?ciaia?aaoe/ieo aeaeo?iiieo ia?aoiae?a c
ia`?iieo noai?a a oaii?anueeo ciio iiaa?oiaaeo noai?a.

?ic?aoiaaii ?iia??i?noue iieueiai? ?ii?caoe?? aeeaieiai oeaio?a a
iaeano? i?inoi?iaiai ca?yaeo, iioaioe?aeueiee ?aeue?o yei? iieno?oueny
ia?aaie?/iei caeiiii.

Aeaa inoaii? aoaeoe iiaeooue a?ae?a?aaaoe aaaeeeao ?ieue a o?ce/ieo
i?ioeanao a aa?`??ieo no?oeoo?ao.

Iieacaii, ui aia?aaoe/i? niaeo?e oaeeo iaea?eueo aea/aieo
ooiaeueii-?aciiainieo no?oeoo?, ye aeaiaa?`??ia O?N, aneiao?e/i?
iiaea?ei? eaaioia? yie ?noioii caeaaeaoue a?ae iayaiino? aeeaieeo
aeii?oeiaeo oeaio??a a iioaioe?aeueieo aa?`??ao, ? ioaea, ca aeiiiiiaith
inoaii?o iiaeia aeinyaaoe aaaeaieo iiaeeo?eaoe?e aia?aaoe/ieo niaeo??a
aeacaieo no?oeoo?.

Aeiaaaeaii iiaeeea?noue aeieeiaiiy yaeua iaaaoeaiiai
aeeoa?aioe?aeueiiai iii?o a eiioaeo? iaoae-iai?ai?ia?aeiee, a iaeano?
i?inoi?iaiai ca?yaeo yeiai ?niothoue aeeaie? aeii?oeia? oeaio?e.
Iaea?aeaii ae?ace aeey a?aeiia?aeieo aieueo-aiia?ieo oa?aeoa?enoee ?
aeyaeaii iaee?au? oiiae aeey ooai?aiiy iaaaoeaiiai aeeoa?aioe?aeueiiai
iii?o.

Aeine?aeaeaii aeae?eueea ieoaiue, ca`ycaieo c i?iaeaiith ooai?aiiy
aeeaieeo aeii?oeiaeo noai?a, a naia: 1) i?iaeaiiino?iaaii iiaeeea?noue
ooai?aiiy aeeaieeo aeii?oeiaeo noai?a a aeaiaa?`??i?e
ooiaeueii-?aciiaini?e no?oeoo??, eiee ia aeii?oeiaiio iioaioe?ae? a
iaeano? eaaioiai? yie ca`yco?oueny aeaeo?iiia oaeey, ui ?ooa?oueny
ia?iaiaeeeoey?ii aei aaoa?iiaae; 2) iieacaii, ui a?aooaaiiy naiiai oaeoo
i?inoi?iai? aeenia?n?? ae?aeaeo?e/ii? i?iieeiino? e , a oi/i?oa oiai,
ui e=1 ia iaeeo a?aenoaiyo a?ae aeii?oeiaiai oeaio?a, aeicaiey? aaea
a i?ino?e iiaeae? iaea?aeoaaoe ye i?ee?, oae ? aeeaie? ??ai? a
caai?iiai?e cii? iai?ai?ia?aeiee?a; 3) ia aac? iaoiaeo k? cao?aiue a
?aae?noe/i?e iiaeae? ciiii? no?oeoo?e iai?ai?ia?aeiee?a iaea?aeaii
i?ino? aiae?oe/i? ae?ace aeey ae?aeaeo?e/ii? i?iieeiino? aeey ??cieo
oei?a aacu?eueiaeo iai?ai?ia?aeiee?a a caeaaeiino? a?ae ia?aiao??a
e?enoaea; iieacaii, ui aianie a ae?aeaeo?e/io i?iieei?noue aocueeiciiieo
iai?ai?ia?aeiee?a (c eaei?anueeith iiaeaeeth ciiii? no?oeoo?e) a?ae
ni?i-a?aeuaieaii? ciie, ia a?aei?io a?ae cii eaaeeo oa aaaeeeo ae??ie, ?
?aaoey?iei i?e iaeeo cia/aiiyo i?i?iaeueii? oe?eie caai?iiaii? ciie.

?acoeueoaoe aeena?oaoe?? iioae?eiaaii a oaeeo ?iaioao.

1. Oaea Ae. E., Oaea A.E., Ei?ieue A.I. Aeeyeaeo?e/aneay i?iieoeaaiinoue
oceiciiiuo eoae/aneeo e?enoaeeia / / Oacenu aeieeaaeia Ainueiiai
niaauaiey ii oai?ee iieoi?iaiaeieeia.-E.: Iaoeiaa aeoiea.-1975.-N.175.

2. Sheka D.I., Korol A.N. Dielectric permittivity of semiconductors with
narrow forbidden gap in the long-wave limit // Phys.Stat.Sol. (b).-1976.
?2.-?.413-418.

3. Oaea Ae.E., Oaea A.E., Ei?ieue A.I. Aeeyeaeo?e/aneay i?iieoeaaiinoue
oceiciiiuo eoae/aneeo e?enoaeeia // OOO.-1976.-18.-?10.-N.2887-2892.

4. Oaea Ae.E., Oaea A.E., Ei?ieue A.I. I?ino?ainoaaiiay aeenia?ney
aeeyeaeo?e/aneie i?iieoeaaiinoe a iieoi?iaiaeieeao oeia InSb //
OOO.-1977.-19.-?10.-N.3155-3158.

5. Ei?ieue A.I., No?eoa A.E., Oaea Ae.E. Ooiiaeueiue iaoaieci
?aeaenaoeee aeoaieiai oeaio?a n ooiiaeueiui ?aciiainiui oieii a IIC
iieoi?iaiaeieeia // Oacenu aeieeaaeia Aeaayoiai niaauaiey ii oai?ee
iieoi?iaiaeieeia.-Oaeeene.-1978.-N229.

6. Ei?ieue A.I., Oaea Ae.E. Ooiiaeueiue ?aciiainiue oie n o/anoeai
aeoaieeo o?iaiae a aeeiaeao Oiooee // Oece/aneea i?ioeannu a
iieoi?iaiaeieeiauo i?eai?ao n aa?`??ii Oiooee.-E.: Iaoeiaa
aeoiea.-1979.-N.123-128.

7. Ei?ieue A.I., No?eoa A.E., Oaea Ae.E. Ooiiaeueiue ?aciiainiue oie a
eiioaeoa iaoaee-iieoi?iaiaeiee // OOI.-1980.-14.-?6.-N.1180-1185.

8. Ei?ieue A.I. Aa?iyoiinoue ooiiaeueiie eiiecaoeee aeoaieiai oeaio?a a
iaeanoe i?ino?ainoaaiiiai ca?yaea // OOAE.-1988.-18.-N.875.

9. Oaea Ae.E., Aineiaieieeia A.I., Ei?ieue A.I. Aa?iyoiinoue eiiecaoeee
aeoaieiai oeaio?a aaeece naiaiaeiie iiaa?oiinoe iieoi?iaiaeieea //
Iiaa?oiinoue. Oeceea, oeiey, iaoaieea.-1983.-1.-?9.-N.21-24.

10. Ei?ieue A.I., Oaea Ae.E., No?eoa A.E. I aiciiaeiinoe iieo/aiey
io?eoeaoaeueiiai aeeooa?aioeeaeueiiai nii?ioeaeaiey a aeeiaeao Oiooee //
Ecaanoey aocia. Oeceea.-1990.-?10.-N.120-122.

11. Ei?ieue A.I. I?ici??noue iaaii?yaeeiaaii? noia?a?aoee, neeaaeaii? ?c
iioaioe?aeueieo aa?`???a oa eaaioiaeo yi ?c ?icn?thth/eie oeaio?aie
ana?aaeei? aa?`???a // Oace aeiiia?aeae 1 Oe?a?inueei? eiioa?aioe??
“No?oeoo?a ? o?ce/i? aeanoeaino? iaaii?yaeeiaaieo nenoai”.-/anoeia
1.-Euea?a.-1993.-N.14.

12. Korol A.M. Effect of scattering in the potential barriers on the
tunneling transparency of a disordered superlattice // Physical Review
B.- 1994.- 50.- ?4.- ?.- 2661-2663.

13. Aeine?aeaeaiiy aia?aaoe/iiai niaeo?o aeaiaa?`??ii?
ooiaeueii-?aciiainii? no?oeoo?e c aeii?oeaie iaoiaeii ooieoe?e A??ia /
Ei?ieue A.I..; OAeOOO.-Ee?a, 1994.-5n.-Oe?.-Aeai. a AeIOA Oe?a?ie
22.08.1994, ?1735 -Oe 94// Aiio. a AEIEOE ?AI, ?11, 1994.

14. I?i caeaaei?noue aia?aaoe/iiai niaeo?o iaeiiaa?`??ii? no?oeoo?e c
aeii?oeaie a?ae ?? ia?aiao??a / Ei?ieue A.I.; OAeOOO.-Ee?a, 1994.-5n.
-Oe?.-Aeai. a AeIOA Oe?a?ie 22.08.1994, ?1733 -Oe 94 // Aiio. a AEIEOE
?AI, ?11,1994.

15. Korol A.M. On tunneling spectra of a new version of Fibonacci
superlattices // Physica Status Solidi (b).-1994.-183.-P.K51-K53.

16. Ei?ieue A.I. Ia yia?aaoe/aneii niaeo?a ea?a?oe/aneie naa?o?aoaoee n
i?eianyie a iioaioeeaeueiuo aa?uea?ao // Ienueia a AE Y O
O.-1994.-59.-?10.-N.659-662.

17. I caaeneiinoe yia?aaoe/aneiai niaeo?a aeaoaa?uea?iie
ooiiaeueii-?aciiainiie no?oeoo?u n i?eianyie io aa ia?aiao?ia / Ei?ieue
A.I.; OAeOOO.-Ee?a, 1994. 5n. -?on.-Aeai. a AeIOA Oe?a?ie 22.08.1994,
?1739 -Oe 94 // Aiio. A AEIEOE ?AI, ?11, 1994.

18. Ei?ieue A.I. Ooiiaeueiua niaeo?u iieoi?iaiaeieeiauo naa?o?aoaoie
Oeaiia//e n i?eianyie a iioaioeeaeueiuo aa?uea?ao //
OOAE.-1995.-40.-?7.-N.749-751.

19. Ei?ieue A.I. I ciiiie no?oeoo?a iiaiai aa?eaioa naa?o?aoaoie
Oeaiia//e // OOO.-1994.-36.-?8.-N. 2339-2342.

20. Ei?ieue A.I. I ooiiaeueiii niaeo?a iaoii?yaei/aiiuo
iieoi?iaiaeieeiauo naa?o?aoaoie n i?eianyie a aa?uea?ao //
OOAE.-1995.-40.-?7.-N.748-749.

21 Ei?ieue A.I. I ?aciiainiii ooiiaee?iaaiee /a?ac i?eianiua oeaio?u a
L-ia?aciii yeaeo?iiiii aieiiaiaea // Iiaa?oiinoue. Oeceea, oeiey,
iaoaieea.-1995.-?6.-N.106-109.

22. Ei?ieue A.I. I?ici??noue iaaii?yaeeiaaii? iaaea?aoee c ?icn?thth/eie
oeaio?aie a iioaioe?aeueieo aa?`??ao // OOAE.-1995.-40.-?4.- N. 374-376.

23. Ei?ieue A.I. I ooiiaeueiie i?ic?a/iinoe iaoii?yaei/aiiie
naa?o?aoaoee n ?annaeaaoaeyie a iioaioeeaeueiuo aa?uea?ao // AE Y O
O.-1994.-106.-?2(8).- N. 499-502.

24. Ei?ieue A.I. I iaiiiioiiiie caaeneiinoe ooiiaeueiie i?ic?a/iinoe io
oieueiu aa?uea?ia aeey iaoii?yaei/aiiie naa?o?aoaoee n i?eianyie a
aa?uea?ao // OOI.-1995.-29.-?10.-N.1844-1846.

25. Korol A.M. Transmittivity of a disordered superlattice with
impurities in the potential barriers // Physics, Chemistry and
Application.-Minsk.-1995.-P.281-282.

26. Korol A.M. Dependence of tunneling transparency of the disordered
superlattice on the parameters of impurity centers located inside the
barriers // Physical Review B.- 1996.- 53.-?15.-?. 9548-9549.

27. Ei?ieue A.I. I o?ainii?oiuo oa?aeoa?enoeeao iacineiie/aneiai
e?enoaeea n i?eianyie a iioaioeeaeueiuo aa?uea?ao // Oeceea ieceeo
oaiia?aoo?.-1996.-22.-?4.-438-441.

28. Korol A.M. Transmittivity of a disordered superlattice with the
scatterers inside barriers in the external electric field // Abstracts
of the International School-Conference ” Physical problems in material
science of semiconductors”.-Chernivtsi.-1995.-P.193.

29. Korol A.M. On the deep impurity states in the quantum well of the
double barrier resonant structure // Abstracts of the International
School-Conference “Physical problems in material science of
semiconductors”.- Chernivtsi.-1995.-P.278.

Aiioaoe?y.

Ei?ieue A.I. ?aciiainia ooiaethaaiiy ca o/anoth aeeaieeo oeaio??a
a iai?ai?ia?aeieeiaeo no?oeoo?ao oa ca`ycai? c iei aoaeoe. -?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.04.10.-O?ceea
iai?ai?ia?aeiee?a ? ae?aeaeo?ee?a. Ee?anueeee oi?aa?neoao Oa?ana
Oaa/aiea, Ee?a, 1998.

A aeena?oaoe?? i?aaenoaaeaii ?acoeueoaoe oai?aoe/ieo aeine?aeaeaiue
i?ioeano ?aciiainiiai ooiaethaaiiy ca o/anoth aeeaieeo noai?a a
iai?ai?ia?aeieeiaeo no?oeoo?ao ? ca`ycaieo c iei aoaeo?a.
?ic?aoiaothoueny ? aiae?cothoueny aia?aaoe/i? niaeo?e aeaiaa?`??ii?
ooiaeueii-?aciiainii? no?oeoo?e, aneiao?e/ieo iiaea?eieo eaaioiaeo yi,
iaaea?aoie c iae?iaeaoaeoaie ca oiiae, ui a iioaioe?aeueieo aa?`??ao
aeacaieo no?oeoo? ciaoiaeyoueny aeeaie? oeaio?e. Iieacaii, ui aeeaie?
aeii?oee ea?aeeiaeueiei /eiii ci?iththoue ooiaeuei? niaeo?e
iaaii?yaeeiaaieo iaaea?aoie ??cieo oei?a. I?iiiiothoueny iia? aa?n??
eaac?ia??iaee/ieo iaaea?aoie O?aiia//?, a oaeiae ???a?o?/ieo IA ?
aiae?cothoueny ?o niaeo?e. I?iaeaiiino?iaaii neeueiee aieea ?icn?thaa/?a
ia aia?aaoe/i? niaeo?e iacie?enoae?a, o?ainii?oi? aeanoeaino?
L-iiae?aieo eaaioiaeo oaeeueiaiae?a, ooiaeuei? niaeo?e aeueoa?iiaaieo
iaaea?aoie ??cieo oei?a, oa?aeoa?enoeee eiioaeoo iaoae-iai?ai?ia?aeiee.
?icaeyiooi oaeiae aeaye? ieoaiiy ooai?aiiy aeeaieeo noai?a a
iai?ai?ia?aeieeao.

Eeth/ia? neiaa: aeeaie? noaie (oeaio?e), ?aciiainia ooiaethaaiiy,
ooiaeuei? niaeo?e, iaaii?yaeeiaai? iaaea?aoee, eaac?ia??iaee/i?
iaaea?aoee, iacie?enoaee, eaaioiaee oaeeueiaiae, ooiaeueii-?aciiaini?
no?oeoo?e, aeueoa?iiaai? iaaea?aoee, eiioaeo iaoae-iai?ai?ia?aeiee.

Aiiioaoeey.

Ei?ieue A.I. ?aciiainiia ooiiaee?iaaiea n o/anoeai aeoaieeo
oeaio?ia a iieoi?iaiaeieeiauo no?oeoo?ao e naycaiiua n iei
yooaeou.-?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie aeieoi?a
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.10.-Oeceea
iieoi?iaiaeieeia e aeeyeaeo?eeia. Eeaaneee oieaa?neoao Oa?ana Oaa/aiei,
Eeaa, 1998.

A aeenna?oaoeee i?aaenoaaeaiu ?acoeueoaou oai?aoe/aneeo
enneaaeiaaiee i?ioeanna ?aciiainiiai ooiiaee?iaaiey n o/anoeai aeoaieeo
ninoiyiee a iieoi?iaiaeieeiauo no?oeoo?ao e naycaiiuo n iei yooaeoia.
?ann/eouaathony e aiaeece?othony yia?aaoe/aneea niaeo?u aeaoaa?uea?iie
ooiiaeueii-?aciiainiie no?oeoo?u, aneiiao?e/iuo aeaieiuo eaaioiauo yi,
naa?o?aoaoie n iae?iaeaoaeoaie i?e oneiaee, /oi a iioaioeeaeueiuo
aa?uea?ao oeacaiiuo no?oeoo? iaoiaeyony aeoaieea oeaio?u. Iieacaii, /oi
aeoaieea i?eiane ea?aeeiaeueiui ia?acii eciaiytho ooiiaeueiua niaeo?u
iaoii?yaei/aiiuo naa?o?aoaoie ?aciuo oeiia. I?aaeeiaeaiu iiaua aa?nee
eaaceia?eiaee/aneeo naa?o?aoaoie Oeaiia//e e ea?a?oe/aneeo naa?o?aoaoie
e aiaeece?othony eo niaeo?u. I?iaeaiiino?e?iaaii neeueiia aeeyiea
?annaeaaoaeae ia yia?aaoe/aneea niaeo?u iacie?enoaeeia, o?ainii?oiua
naienoaa L-ia?aciuo eaaioiauo aieiiaiaeia, ooiiaeueiua niaeo?u
aeueoa?ie?iaaiiuo naa?o?aoaoie ?aciuo oeiia, oa?aeoa?enoeee eiioaeoa
iaoaee-iieoi?iaiaeiee. ?anniao?eaathony oaeaea iaeioi?ua aii?inu
ia?aciaaiey aeoaieeo ninoiyiee a iieoi?iaiaeieeao.

Eeth/aaua neiaa: aeoaieea ninoiyiey (oeaio?u), ?aciiainiia
ooiiaee?iaaiea, ooiiaeueiua niaeo?u, iaoii?yaei/aiiua naa?o?aoaoee,
eaaceia?eiaee/aneea naa?o?aoaoee, iacie?enoaeeu, eaaioiaua aieiiaiaeu,
ooiiaeueii-?aciiainiua no?oeoo?u, aeueoa?ie?iaaiiua naa?o?aoaoee,
eiioaeo iaoaee-iieoi?iaiaeiee.

Abstracts.

Korol A.M. Resonant tunneling with the participation of deep
centers in the semiconductor structures and effects associated with it.

The theses for a degree of the doctor of physical and mathematical
sciences on a speciality 01.04.10.- Physics of semiconductors and
dielectrics., Taras Shevchenko Kyiv university, Kyiv, 1998.

Results of the investigation of theoretical study of the
resonant-tunneling process with the participation of deep states in
semiconductor structures as well as the effects associated with this
process are presented in these theses. Energy spectra of the
double-barrier resonant-tunneling structure, assymmetric double quantum
wells, superlattices with macrodefects are calculated and analyzed under
the condition that deep centers are incorporated into potential barriers
of these structures. It is demonstrated that deep states change the
tunneling spectra of the disordered superlattices of various types
crucially. New versions of quasiperiodical Fibonacci superlattices as
well as the hierarchical superlattices are proposed and their spectra
are analyzed. Strong effect of the scatterers on the energetical spectra
of mesocrystalls, transport properties of the L-shaped quantum
waveguides, tunneling spectra of the alternated superlattices of various
types, the characteristics of the metal-semiconductor junctions is
demonstrated. Certain problems of the creation of deep states in the
semiconductors are also considered.

Key words: deep states (centers), resonant tunneling, tunneling spectra,
disordered superlattices, quasiperiodic superlattices, mesocrystalls,
quantum waveguides, resonant-tunneling structures, alternated
superlattices, metal-semiconductor junction.

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