<<

. 2
( 2)



WL
??
-0.5
0.0
1 2 3 0.0 0.5 1.0
1 10
rs
kF aB k Fl


?en. 9: a, b  Caaeneiinoe Kee (kF aB ) e F0 (rs ), niioaaonoaaiii. Neiaieu  yenia?eiaioaeu-
?

iua ?acoeuoaou aey ?acee?iuo no?oeoo?. No?aeee i?iaaaaiu ii yenia?eiaioaeuiui oi?-
eai e oeacuaa?o iai?aaeaiea oiaiuoaiey kF l, ioieoe?iua eeiee  ?an?ao [8], oo?eoiaua
eeiee i?iaaaaiu ii yenia?eiaioaeuiui oi?eai, niioaaonoao?uei iaeaieuoei aaee?e-
iai kF l. Aa?oeeaeuiua no?aeee ia iaiaee (a) iieacuaa?o aaee?eio kF aB , i?e eioi?ie
kF l = 4. c  Eioa?oa?aioeiiiay iii?aaea ?? W L , iii?aaea Aeuoooea?a-A?iiiaa ?? ee , A?o-
aaaneay i?iaiaeiinou ?0 e noiia?iay i?iaiaeiinou ? = ?0 + ?? ee + ?? W L i?e T = 0.46 K
a caaeneiinoe io kF l. No?oeoo?a Z88.


Enneaaiaaie? yaie?oee iii?aaee Aeuoooea?a-A?iiiaa  iii?aaee naycaiiie n e-e
acaeiiaaenoaeai  n ?inoii noaiaie aanii?yaea iinayuaia Aeaaa 7. Yenia?eiaioaeuiua
?acoeuoaou iieo?aiu a oe?ieii eioa?aaea cia?aiee kF l (kF l 1 ? 30) ia oao ?a ia?acoao,
eioi?ua enneaaiaaiu a i?aauaouae aeaaa. A ia?aea aeaau iieacaii, ?oi aey enneaaiaai-
iuo no?oeoo? aaeeenoe?aneee aeeaa a iii?aaeo, aucaaiio? e-e acaeiiaaenoaeai, yaeyaony
iaeui ai oao ii?, iiea kB T ? / < 0.2. Yoi icia?aao, ?oi eniieuciaaiea au?a?aiee (1) aey
aiaeeca yenia?eiaioaeuiuo ?acoeuoaoia yaeyaony aaaeaaoiui, a eniieuciaaiea cia?eoaeu-
ii aieaa nei?iuo oi?ioe [8] yaeyaony i?aauoaieai oi?iinoe.
Iineieueo niioiioaiea oa?aeoa?iuo ianooaaia ii iaaieoiiio iie? aey eioa?oa?ai-
oeiiiie iii?aaee e iii?aaee Aeuoooea?a-A?iiiaa ii?aaaey?ony aaee?eiie kF l (ni. no?.
10), oi a neo?aa kF l ? 1 aicieea?o nei?iinoe n iaaa?iui ?acaaeaieai yoeo aeeaaia.
?oiau enee??eou ec oaiia?aoo?iie caaeneiinoe ?xx eioa?oa?aioeiiiue aeeaa e iaeoe
aaee?eio Kee i?e ieceeo cia?aieyo ia?aiao?a kF l, a ?aaioa eniieuciaai oio oaeo, ?oi ii-
i?aaea Aeuoooea?a-A?iiiaa ia aaao aeeaaa a ?xy , a eioa?oa?aioeiiiay eaaioiaay iii?aa-
ea ia aaao aeeaaa a Oieeianeia nii?ioeaeaiea ?xy , aee??ay aeaiacii eeanne?anee neeuiuo
iaaieoiuo iieae, B > µ?1 [18]. Iineaaiaa oece?anee naycaii n oai, ?oi eaaioiaay eioa?-
oa?aioey, eciaiyy aiecio?iie? na?aiey ?annayiey, oaeoe?anee eciaiyao o?ainii?oiia
a?aiy ?aeaenaoee eaaceeiioeuna [14].
Iieo?aiiua ?acoeuoaou iieacaiu ia ?en. 9a a aeaa caaeneiinoe Kee (kF aB ), e ia ?en. 9b
a aeaa caaeneiinoe F0 (rs ). Anee ?anniao?eaaou nia?aea yenia?eiaioaeuiua oi?ee n iae-
?

aieuoeie cia?aieyie kF l (oi anou n iaeaieuoei cia?aieai kF ) aey ?aciuo ia?acoia, oi
aeaii, ?oi iie ei?aony ia iaio ieaaio? e?eao? (oo?eoiaua eeiee ia ?en. 9a e ?en. 9b),
eioi?ay ea?eo ianeieuei ie?a oai?aoe?aneie e?eaie. Anee oaia?u ia?aoeouny e ?acoeuoa-
oai, iieo?aiiui ia eaeii-eeai iaiii ia?acoa, oi aeaii, ?oi i?e oiaiuoaiee aaee?eiu
kF (iooai eciaiaiey iai?y?aiey ia iieaaii yeaeo?iaa) yenia?eiaioaeuiua oi?ee ia nia-
ua?ony aaieu oo?eoiauo eeiee, a ?acei eaoo aiec. Oaeia iiaaaaiea ia niaeanoaony n oai-
?eae  oai?aoe?anee ia?aiao? F0 (a cia?eo e Kee ) ii?aaaeyaony eeou aaee?eiie aaciaiai
?



22
ia?aiao?a rs . Aicii?iie i?e?eiie oaeiai ianiioaaonoaey ii?ao yaeyouny oio oaeo, ?oi
oiaiuoay ia yenia?eiaioa kF , iu iaiia?aiaiii oiaiuoaai aaee?eio kF l, i?eaee?ay aa
e kF l ? 1, a oi a?aiy eae oai?ey iino?iaia aey neo?ay kF l 1.
Iaeiiao, a caee??aiea aeaau aaaony ioaao ia aii?in: eaeay ec eaaioiauo iii?aaie
yaeyaony aeaaiie a nenoaiao n iaeui cia?aieai kF l e ii?aaaeyao oai naiui oaiia?aoo?-
io? caaeneiinou i?iaiaeiinoe? Ec ?enoiea 9n oi?ioi aeaii, ?oi iii?aaea Aeuoooea?a-
A?iiiaa ?? ee auno?i oiaiuoaaony ii iiaoe? n oiaiuoaieai kF l, ia?auaynu a iieu i?e
kF l 2. A oi ?a a?aiy eioa?oa?aioeiiiay iii?aaea ?? W L eeou iacia?eoaeuii caaeneo io
kF l, e i?e kF l 2 aa aanie?oiay aaee?eia i?aeoe?anee n?aaieaaaony n ?0 . Oaeei ia?acii,
iniiaiie eaaioiaie iii?aaeie a enneaaiaaiiuo no?oeoo?ao yaeyaony eioa?oa?aioeiiiay
eaaioiaay iii?aaea. Eiaiii iia i?e kF l ? 1 e ieceeo oaiia?aoo?ao n?aaieia ii aani-
e?oiie aaee?eia n A?oaaaneie i?iaiaeiinou? e, aoao?e io?eoaoaeuiie, a nouanoaaiiie
noaiaie aa iiaaaeyao.
Aeaaa 8 Neaaay eieaeecaoey, eae eino?oiaio enneaaiaaiey oa?ioiaaoinoe aaoa?ia?a-
ieo a iaeioi?ie noaiaie iineo i?eeeaaiie oa?aeoa?. Eae ecaanoii, oieuei iiia?a?iia
ieineinoe nenoaiu iaaieoiia iiea (B? ) ?ac?ooaao eioa?oa?aioe? yeaeo?iiiuo aiei e
i?eaiaeo e aicieeiiaaie? io?eoaoaeuiiai iaaieoinii?ioeaeaiey a neo?aa eaaaeuii iein-
eie aaoia?iie nenoaiu. A ?aaeuiuo aaoia?iuo nenoaiao aeeyiea iaaieoiiai iiey iineo
aieaa nei?iue oa?aeoa?. N?aae anao i?e?ei, aucuaa?ueo iiyaeaiea i?iaieuiiai iaaie-
oinii?ioeaeaiey a aaoia?iuo nenoaiao n iaiie caiieiaiiie iiaciiie ?acia?iiai eaaioi-
aaiey, iaeaieaa aa?iie yaeyaony oa?ioiaaoinou eioa?oaenia, oi?ie?o?ueo eaaioiao?
yio. Aieaa oiai, oa?ioiaaoinou i?eaiaeo e oiio, ?oi aee??aiea i?iaieuiiai iiey (B )
eciaiyao oi?io iiia?a?iiai iaaieoinii?ioeaeaiey, e oa?aeoa? yoiai eciaiaiey ii?aaa-
eyaony niioiioaieai ia?ao ei??aeyoeiiiie aeeiie L, oa?aeoa?eco?uae oa?ioiaaoinou a
ieineinoe ia?acoa, n?aaiae o?ainii?oiie aeeiie naiaiaiiai i?iaaaa l e aeeiie naiy oacu
L? = D?? [19, 20].
Yenia?eiaioaeuiua enneaaiaaiey aeeyiey i?iaieuiiai iaaieoiiai iiey B ia iiia-
?a?io? iaaieoii?iaiaeiinou ??(B? ), naycaiio? n iiaaaeaieai eioa?oa?aioeiiiie ii-
i?aaee, i?iaaaaiu ia aaoo oeiao aaoa?ino?oeoo?  ia noaiaa?oiie no?oeoo?a n iaeii?iie
eaaioiaie yiie InGaAs (no?oeoo?a 3512) e ia no?oeoo?a n iaiieeanoa?aie, noi?ie?i-
aaiiuie neiai InAs a iao?eoa GaAs, e ia?aco?ueie e?oiiiianooaaiua oa?ioiaaoinoe
(no?oeoo?a H5610).
Iieacaii, ?oi a no?oeoo?a 3512 aee??aiea i?iaieuiiai iaaieoiiai i?eaiaeo e oaeiio
eciaiaie? oi?iu iiia?a?iiai IIN ??(B? ), eioi?ia ii?ao auou iienaii yooaeoeaiui
?1
oaaee?aieai nei?inoe ?aeaenaoee oacu n B , i?e?ai caaeneiinou ?? (B ) yaeyaony eaaa-
?aoe?iie n e?eaeciie, ia caaenyuae io oaiia?aoo?u. Oaeia iiaaaaiea niioaaonoaoao iaeei-
ianooaaiie oa?ioiaaoinoe aaoia?iiai neiy L < l [19] e iicaieyao ii e?eaecia caaeneiinoe
?1
?? (B ) yenia?eiaioaeuii iaeoe ia?aiao? oa?ioiaaoinoe ?2 L, aaa ?  n?aaiaeaaa?aoe?-
iia cia?aiea aiieeooau oa?ioiaaoinoe eaaioiaie yiu a iai?aaeaiee ?inoa no?oeoo?u.
Iaeaaiiay oaeei ia?acii aaee?eia ?2 L oiaiuoaaony i?eia?ii io 9 ii3 ai 5 ii3 i?e
oiaiuoaiee eiioaio?aoee yeaeo?iiia a eaaioiaie yia io 7 · 1011 ni?2 ai 3 · 1011 ni?2 .
Iieacaii, ?oi yoi naycaii ni niiniaii eciaiaiey eiioaio?aoee yeaeo?iiia a enneaaiaai-
iuo ia?acoao. Oiaiuoaiea eiioaio?aoee i?ienoiaeo ca n?ao oiaiuoaiey iai?y?aiey ia
iieaaii yeaeo?iaa, ?oi i?eaiaeo e niauaie? yeaeo?iiiie aieiiaie ooieoee io aiao-
iaai aieaa oa?ioiaaoiai eioa?oaena e aioo?aiiaio aieaa ieaaiiio e, oaeei ia?acii, e
yooaeoeaiiio oiaiuoaie? aaee?eiu ?2 L.
Enneaaiaaiey neaaie eieaeecaoee ia no?oeoo?a H5610 iieacaee, ?oi a yoii neo?aa
aeeyiea B ia oi?io ??(B? ) iineo aieaa nei?iue oa?aeoa? e ii?ao auou iienaii oieu-
ei i?e o?aoa iaiia?aiaiiiai nouanoaiaaiey iaeei- e e?oiiiianooaaiuo oa?ioiaaoinoae.
Aey o?aoa e?oiiiianooaaiuo oa?ioiaaoinoae i?aaei?aia iiaaeu, niaeanii eioi?ie ennea-
aoaiay aaoia?iay nenoaia i?aanoaaeaia a aeaa eaaa?aoiuo ieiuaaie ni noi?iiie L > L? ,

23
0.4 2
10
?en. 10: a  Neaaiiieaaay iaa- b
ieoii?iaiaeiinou aey no?oeoo-
??
1/T
?u 3635 i?e ?aciuo oaiia?aoo- 0.2
?s




s)
?ao e Vg = 0. Neiaieu  yenia?e- 1
10
iaioaeuiua ?acoeuoaou. Eeiey 




-12
?? (G0)




??,?s (10
0.3 1 5
?an?ao [21] n ia?aiao?aie, niio- T(K)
0.0
aaonoao?ueie iaeeo?oaio nia-
??
100
iaaaie? n yenia?eiaioii: Btr = T=4.6 K
1.43
2.4 iT, ?? = 7.2 · 10?11 n e ?s =
0.91
?s = 0.88·10?11 n. T = 0.45 K. b, c  50
-0.2 0.45
?s
Caaeneiinoe ?? e ?s niioaaonoaai- a
ii io oaiia?aoo?u i?e Vg = 0




0
-1.0 -0.5 0.0 0.5 1.0
e eiioaio?aoee yeaeo?iiia i?e 4 6
8
T = 0.46 K. 12 -2
B(mT) n(10 cm )


ea?aay ec eioi?uo iaeeiiaia ii ioiioaie? e n?aaiae ieineinoe no?oeoo?u ia iaeioi-
?ue iaaieuoie oaie. Iieo?eaoaany i?e yoii i?ae?aniia niaeanea ia?ao oai?aoe?aneeie
e yenia?eiaioaeuiuie e?eauie iaaieoii?iaiaeiinoe iicaieeei ioaieou n?aaiee oaie
iaeeiia ieiuaaie ii ioiioaie? e n?aaiae ieineinoe, eioi?ue ninoaaeyao aaee?eio, ?aa-
io? i?eia?ii 0.35? , e ioaieou aaee?eio ?2 L = (1 ? 2) ii3 , eioi?ay, eae e a no?oeoo?a
3512 oiaiuoaeanu n iaaaieai eiioaio?aoee.
Iieo?aiiua ?acoeuoaou niaeano?ony n ?acoeuoaoaie aoiiii-neeiaie iee?ineiiee, ii-
eo?aiiuie ia oao ?a naiuo ia?acoao iinea naeaeoeaiiai oeie?aneiai o?aaeaiey.
A Aeaaa 9 i?eaaaaiu ?acoeuoaou enneaaiaaiee aeeyiey nieiiaie ?aeaenaoee ia ei-
oa?oa?aioeiiio? eaaioiao? iii?aaeo e i?iaiaeiinoe iaeii?iuo eaaioiauo yi n- e p-
oeia i?iaiaeiinoe. Ai neo ii? nieiiaua yooaeou ia i?iyaeyeenu a ?anniao?eaaaiuo
yooaeoao. Yoi naycaii n ioiineoaeuii ieceie aaee?eiie iiaae?iinoe iineoaeae ca?yaa
a enneaaoaiuo ia?acoao. Aaei a oii, ?oi iniiaiui iaoaieciii nieiiaie ?aeaenaoee a
iieoi?iaiaieeiauo no?oeoo?ao yaeyaony iaoaieci Auyeiiiaa-Ia?aey [22, 23]. A yoii neo-
?aa a?aiy nieiiaie ?aeaenaoee ia?aoii i?iii?oeiiaeuii a?aiaie ?aeaenaoee eiioeuna
?s ? ? ?1 e iiea ieacuaaeinu aieuoa a?aiaie naiy oacu: ?s > ?? .
A yoie aeaaa enneaaiaaiu ia?acou n aieuoae iiaae?iinou?. A yoii neo?aa ?s iaiuoa
?? e yooaeoaie nieiiaie ?aeaenaoee o?a i?aiaa?aaaou iaeucy. Iie iiaoo i?eaiaeou e
niaia ciaea oaiia?aoo?iie caaeneiinoe i?iaiaeiinoe (yooaeo aioeeieaeecaoee) e e ii-
ei?eoaeuiiio iaaieoinii?ioeaeaie? a eio?aieceeo iaaieoiuo iieyo (?en. 10a). A eoiaa
oi?ia neaaiiieaaiai iaaieoinii?ioeaeaiey yaeyaony ?acoeuoaoii eiieo?aioee neaaiei-
eaeecaoeiiiiai e aioeeieaeecaoeiiiiai iiaaaaiey, e aa aiaeec a yoii neo?aa iicaieyao
ii?aaaeeou a?aiaia ia oieuei oaciaie, ii e nieiiaie ?aeaenaoee [21], e eo caaeneiinou io
oaiia?aoo?u e eiioaio?aoee iineoaeae (?en. 10b e 10c). A ciay a?aiy nieiiaie ?aeaena-
oee e o?eouaay, ?oi aeaaiui iaoaieciii nieiiaie ?aeaenaoee a iaoai neo?aa yaeyaony
iaoaieci Auyeiiiaa-Ia?aey, n?aaieoaeuii iao?oaii iaeoe aeeaau ?acee?iuo iaoaieciia
a niei-i?aeoaeuiia ?anuaieaiea niaeo?a iineoaeae.
Enneaaiaaiey yooaeoia aioeeieaeecaoee a no?oeoo?ao GaAs/Inx Ga1?x As/GaAs, a ei-
oi?uo i?iaiaeiinou inouanoaeyaony yeaeo?iiaie, iieacaee, ?oi iacaaeneii io ?ani?a-
aaeaiey eiioaio?aoee eiaey a eaaioiaie yia, iniiaiie aeeaa a aioeeieaeecaoe? eaao
io niei-i?aeoaeuiiai ?anuaieaiey niaeo?a, aucaaiiiai yooaeoii A?annaeuoaoca, oi anou
ionoonoaeai oaio?a eiaa?nee a ?iaeoaeuneeo iaoa?eaeao GaAs e Inx Ga1?x As. I?e yoii ia-
ia?o?aii, ?oi a no?oeoo?ao n iinoiyiiui niaa??aieai eiaey a eaaioiaie yia eoae?aneee
(?D ) e eeiaeiue (?D ) ii eaaceeiioeuno aeeaau a ?anuaieaiea yaey?ony niecia?eiuie
3 1


24
3512 3635
b
a Z76
0.2
0.10 (D)
?1

spin splitting (meV)
(D)
?1
(R)
?1
0.1
0.05
(R)
?1
(D)
?3 (D)
?3
0.00 0.0
0 2 4 6 8 10 0 2 4 6 8 10
11 -2
electron density (10 cm )
(R) (D) (D)
?en. 11: Aeeaau Au?eiaa-?aoau (?1 ) e A?annaeuoaoca (?1 , ?3 ) a niei-i?aeoaeuiia
?anuaieaiea yeaeo?iiiiai niaeo?a, iino?iaiiua a caaeneiinoe io eiioaio?aoee yeaeo?i-
iia. a  No?oeoo?u 3512, Z76 n iinoiyiiie eiioaio?aoeae eiaey a eaaioiaie yia. b 
no?oeoo?a 3635 n eneonnoaaiiui a?aaeaioii ninoaaa aioo?e eaaioiaie yiu a iai?aaeaiee
?inoa. Neiaieaie i?aanoaaeaiu yenia?eiaioaeuiua ?acoeuoaou, eeieyie  ?acoeuoaou
oai?aoe?aneiai ?an?aoa n ? = 18 yA·A3 . Ionoua neiaieu ia iaiaee (b)  ?acoeuoaou, iieo-
?aiiua i?e T = 0.45 K, nieioiua  i?e T = 1.5 K.


ii aaee?eia a yenia?eiaioaeuiii aeaiaciia n (?en. 11a). N?aaiaiea yenia?eiaioaeuiuo
e oai?aoe?aneeo caaeneiinoae yoeo aeeaaia io eiioaio?aoee yeaeo?iiia iicaieeei ii?a-
aaeeou aaee?eio ia?aiao?a ?, iienuaa?uaai aeeaa yooaeoa A?annaeuoaoca a aioeeieaee-
caoe?, ? = (18 ± 2) yA·A3 , eioi?ay iaoiaeony a niaeanee n ?acoeuoaoaie a?oaeo aaoi?ia.
Iieacaii, ?oi a no?oeoo?a n eneonnoaaiii iaiaii?iaiui ?ani?aaaeaieai eiaey a eaai-
oiaie yia iniiaiie aeeaa a ?anuaieaiea niaeo?a yaeyaony eeiaeiui ii eaaceeiioeuno
(?en. 11b).
I?e enneaaiaaieyo iaaieoii?iaiaeiinoe a iaeeiiiuo iaaieoiuo iieyo iaia?o?aii,
?oi aee??aiea i?iaieuiiai iaaieoiiai iiey ?ac?ooaao neaao? aioeeieaeecaoe?. Oaeia
?ac?ooaiea yaeyaony neaanoaeai eiieo?e?o?uaai aaenoaey aaoo iaoaieciia  oa?ioi-
aaoinoe eioa?oaenia, oi?ie?o?ueo eaaioiao? yio, e yooaeoa Caaiaia, i?eaiayuaai e
nieiiaiio ?anuaieaie? yeaeo?iiiuo ninoiyiee a i?iaieuiii iaaieoiii iiea. Aiaeec
yenia?eiaioaeuiuo ?acoeuoaoia iicaieee ii?aaaeeou oa?aeoa?enoeee oa?ioiaaoinoe ei-
oa?oaenia e aaee?eio i?iaieuiiai g-oaeoi?a aaoia?iuo yeaeo?iiia: ?L2 = (75 ± 15) ii3 ,
|g| = 1.7 ± 0.3.
Enneaaiaaiey, i?iaaaaiiua ia no?oeoo?ao 3851, 3855, 3856 e 3857 au?i?iiai oeia i?iai-
aeiinoe iieacaee, ?oi a ioee?ea io yeaeo?iiiiai aaoia?iiai aaca iniiaiui iaoaieciii,
i?eaiayuei e niei-i?aeoaeuiiio ?anuaieaie? niaeo?a au?ie a iai?y?aiiuo aaoa?i-
no?oeoo?ao Inx Ga1?x As, yaeyaony iaoaieci Au?eiaa-?aoau, oi anou aneiiao?ey i?ioeey
eaaioiaie yiu a iai?aaeaiee ?inoa no?oeoo?u. Auei iaia?o?aii, ?oi a ioee?ea io yeae-
o?iiiiai niaeo?a, a eioi?ii ?anuaieaiea niaeo?a yaeyaony eeiaeiui ii eaaceeiioeuno,
?anuaieaiea Au?eiaa-?aoau au?i?iiai niaeo?a i?iii?oeiiaeuii o?aouae noaiaie eaace-
eiioeuna. Iieacaii, ?oi oi?ia e?eaie iaaieoii?iaiaeiinoe i?e yoii oi?ioi iienuaa-
aony oi?ioeie Oeeaie-Ea?eeia-Iaaaiee n o?aoii nieiiaie ?aeaenaoee [9], ?oi iicaieyao
yenia?eiaioaeuii ii?aaaeeou a?aiy nieiiaie ?aeaenaoee e aaee?eio niei-i?aeoaeuiiai
?anuaieaiey niaeo?a e eo caaeneiinoe io eiioaio?aoee au?ie (?en. 12). Eiee?anoaaiiay
eioa?i?aoaoey iieo?aiiuo ?acoeuoaoia auiieiaia ia iniiaa naiiniaeaniaaiiuo ?eneai-

25
0.5
3857
3856 (S=-39 meV)
0.4 (S=-43 meV)




spin splitting (meV)
0.3


0.2
3855
(S=-37 meV)
0.1

3951 (S=-43 meV)
0.0
0 5 10
11 -2
hole density (10 cm )

?en. 12: Caaeneiinou niei-i?aeoaeuiiai ?anuaieaiey niaeo?a au?ie io eiioaio?aoee au-
?ie. Neiaieaie i?aanoaaeaiu yenia?eiaioaeuiua ?acoeuoaou. Nieioiuie eeieyie ii-
eacaiu ?acoeuoaou oai?aoe?aneiai ?an?aoa, auiieiaiiiai a iiaaee Eaooei?a?a-Eiia n
o?aoii iaiiiniie aaoi?iaoee neiy, oi?ie?o?uaai eaaioiao? yio. A neiaeao iieacaiu
cia?aiey ia?aiao?a S, niioaaonoao?uea iaeeo?oaio niaeane? oai?ee e yenia?eiaioa aey
ea?aie ec no?oeoo?.


iuo ?an?aoia o?aaiaiee O?aaeiaa?a e Ioanniia. A iniiaa ?an?aoa ea?ae aaieeuoiieai
Eaoei?a?a-Eiia, o?eouaa?uee acaeiiaaenoaea cii ?8 e ?7 e iaiiinio? aaoi?iaoe?,
aucaaiio? ianiioaaonoaeai iinoiyiiuo ?aoaoie neiaa GaAs, oi?ie?o?ueo aa?ua?u, e
neiy In0.2 Ga0.8 As, oi?ie?o?uaai eaaioiao? yio. I?e yoii aaee?eia aaoi?iaoeiiiiai
?anuaieaiey ciiu ?8 i?e k = 0 (S) eniieuciaaeanu a ea?anoaa iiaaiii?iiai ia?aiao?a.
Eae aeaii ec ?en. 12, a yoie iiaaee oaaaony iieo?eou oi?ioaa niaeanea yenia?eiaioaeu-
iuo e oai?aoe?aneeo caaeneiinoae aaee?eiu ?anuaieaiey io eiioaio?aoee au?ie aey
anao enneaaiaaiiuo no?oeoo?. Iaeioi?ia ?acee?ea a aaee?eia ia?aiao?a S aey ?aciuo
no?oeoo? ea?aony aiieia anoanoaaiiui. Iii, a ?anoiinoe, ii?ao auou neaanoaeai ?acee?-
iiai ioeeiiaiey niaa??aiey eiaey io iiieiaeuiiai cia?aiey. Oae, iieo?aiiua cia?aiey
2|S| 75?90 iyA niioaaonoao?o ?anniaeaniaaie? iinoiyiiuo ?aoaoie GaAs e Inx Ga1?x As
?aaiiio (1.2 ? 1.4) %, ?oi a nai? i?a?aau niioaaonoaoao eiioaio?aoee eiaey a eaaioiaie
yia (17 ? 20) % e i?aiu aeecei e iiieiaeuiiio cia?aie? x = 20 %.
A caee??aiea, a Aeaaa 9 iano?aaaony iaiiiioiiiia iiaaaaiea niei-i?aeoaeuiiai ?an-
uaieaiey ?3 n eciaiaieai eiioaio?aoee au?ie. Yoa caaeneiinou aeecea e caeiio ?3 =
Ap3/2 ? kF oieuei i?e iaeie eiioaio?aoee au?ie, p < 2 · 1011 ni?2 . I?e aieuoae eii-
3

oaio?aoee yoa caaeneiinou eiaao iaeneioi e aa?a iaiyao ciae (iineaaiaa ia ?en. 12
ia iieacaii). Yoa iniaaiiinou naycaia ni niiniaii eciaiaiey eiioaio?aoee iineoaeae a
eaaioiaie yia, eniieuciaaiiii a ?aaioa. Aaei a oii, ?oi eiyooeoeaio A aey iaoaiec-
ia Au?eiaa-?aoau ii?aaaeyaony aneiiao?eae aaoa?ino?oeoo?u. Eciaiyy iai?y?aiea ia
iieaaii yeaeo?iaa, iu ia oieuei eciaiyai eiioaio?aoe? au?ie, iu oae?a eciaiyai i?i-
oeeu eaaioiaie yiu. A yoii neo?aa eiyooeoeaio i?iii?oeiiaeuiinoe A o?a ia yaeyaony
eiinoaioie e aaao aiiieieoaeuio? caaeneiinou ?anuaieaiey niaeo?a io eiioaio?aoee au-
?ie, eioi?ay, eae aeaii, aanuia nouanoaaiia. Ia?auaiea niei-i?aeoaeuiiai ?anuaieaiey
a ioeu i?e iaeioi?ie eiioaio?aoee icia?aao, ?oi eaaioiaay yia a yoie oi?ea noaiiaeony
yooaeoeaii neiiao?e?iie e A = 0.

26
A caee??aiee i?eaaaaiu iniiaiua auaiau e ?acoeuoaou ?aaiou:
1. Iieacaii, ?oi a aaoa?ino?oeoo?ao n iaeii?iie eaaioiaie yiie e iaiie caiieiaiiie
iiaciiie ?acia?iiai eaaioiaaiey o?aaeoeiiiay oai?ey eaaioiauo iii?aaie eiee?a-
noaaiii iienuaaao oaiia?aoo?iua e iaaieoiiieaaua caaeneiinoe eiiiiiaio oaici?a
i?iaiaeiinoe i?e aunieie i?iaiaeiinoe nenoaiu, g 5 (a aaeieoao e2 /h).

2. Iaia?o?aii, ?oi iiyaeaiea yeaeo?iiia a eaae?o?ueo neiyo yaeyaony i?e?eiie aic-
ieeiiaaiey aiiiaeee a iiaaaaiee yenia?eiaioaeuii ecia?yaiuo oece?aneeo aaee-
?ei. Iieacaii, ?oi canaeaiea neiaa i?eaiaeo e iiyaeaie? oaiia?aoo?ii caaeneiiai
aanii?yaea a nenoaia e, eae neaanoaea, iiyaeaie? oaiia?aoo?iie caaeneiinoe ii-
aae?iinoe yeaeo?iiia. Onoaiiaeaii, ?oi eaii?e?iaaiea yoiai yooaeoa i?e aiaeeca
eaaioiauo iii?aaie i?eaiaeo e neeuiie ia?aioaiea aeeaaa yeaeo?ii-yeaeo?iiiiai
acaeiiaaenoaey. Iaia?o?aii, ?oi canaeaiea ninoiyiee a eaae?o?ueo neiyo i?eaiaeo
e iiyaeaie? ieceioaiia?aoo?iiai ianuuaiey a?aiaie naiy oacu e aai iaiiiioii-
iie caaeneiinoe io i?iaiaeiinoe nenoaiu. Iieacaii, ?oi i?e?eiie oaeeo aiiiaeee
yaey?ony ia?aoiau yeaeo?iia ec ninoiyiee eaaioiaie yiu a ninoiyiey neeuii iaoii-
?yai?aiiuo eaae?o?ueo neiaa.

3. Enneaaiaaiey n i?eiaiaieai eiiiu?oa?iiai iiaaee?iaaiey noaoenoeee caieioouo
o?aaeoi?ee iineoaeae ca?yaa iicaieeee auyaeou iniiaiua iniaaiiinoe a iiaaaaiee
oaiia?aoo?iuo e iaaieoiiieaauo caaeneiinoae eioa?oa?aioeiiiie eaaioiaie ii-
i?aaee, naycaiiua n aiecio?iieae ?annayiey, ei??aeyoeae a ?ani?aaaeaiee ?anna-
eaa?ueo oaio?ia, caaeneiinou? nei?inoe ?aeaenaoee oacu io iaaieoiiai iiey e
iaee?eai iae?ineiie?aneeo iaiaii?iaiinoae a nenoaia.

4. I?aaei?ai e eniieuciaai ia i?aeoeea iiaue iaoia aiaeeca io?eoaoaeuiiai iaaie-
oinii?ioeaeaiey, aucaaiiiai iiaaaeaieai eioa?oa?aioeiiiie eaaioiaie iii?aaee,
iniiaaiiue ia aiaeeca ?acoeuoaoia Oo?ua-i?aia?aciaaiey e?eauo iaaieoii?iaiae-
iinoe e iicaiey?uee yenia?eiaioaeuii enneaaiaaou noaoenoeeo caieioouo o?aae-
oi?ee a ?aaeuiuo ia?acoao. Eniieuciaaiea aaiiiai iaoiaa iicaieeei iiiyou i?e-
?iao i?iaieuiiai io?eoaoaeuiiai iaaieoinii?ioeaeaiey a aaoa?ino?oeoo?ao n aao-
iy eaaioiauie yiaie. Iieacaii, ?oi iii aucaaii iiaaaeaieai eioa?oa?aioeiiiie
eaaioiaie iii?aaee e naycaii n ia?aoiaaie yeaeo?iia ia?ao yiaie.

5. Enneaaiaaiey aeeyiey yeaeo?ii-yeaeo?iiiiai acaeiiaaenoaey ia ieceioaiia?aoo?-
io? i?iaiaeiinou aaoia?iiai yeaeo?iiiiai aaca a nenoaiao n eiio?iee?oaiie noa-
iaiu? aanii?yaea iieacaee, ?oi n ?inoii aanii?yaea iii?aaea Aeuoooea?a-A?iiiaa
auno?i oiaiuoaaony ii aanie?oiiio cia?aie?, no?aiynu e ioe?. Iineaaiaa i?eaiaeo
e oiio, ?oi i?e ieceii cia?aiee A?oaaaneie i?iaiaeiinoe (g0 2) oaiia?aoo?iay
caaeneiinou i?iaiaeiinoe aaoia?iie nenoaiu i?aeoe?anee iieiinou? ii?aaaeyaony
eioa?oa?aioeiiiuie yooaeoaie.

6. Aia?aua enneaaiaaia oaiia?aoo?iay e iaaieoiiieaaay caaeneiinoe eioa?oa?aioe-
iiiie eaaioiaie iii?aaee a iaeanoe i?iia?ooi?iie i?iaiaeiinoe, niioaaonoao?uae
e?inniaa?o ia?ao ?a?eiaie neeuiie (g 1) e neaaie (g 1) eieaeecaoee. Iiea-
caii, ?oi o?ao eaaioiauo iii?aaie aunoeo ii 1/g ii?yaeia iicaieyao eiee?anoaai-
ii iienaou yenia?eiaioaeuiua ?acoeuoaou i?e oiaiuoaiee i?iaiaeiinoe aieiou ai
cia?aiee g ? 1. Yoi aannii?ii aiai?eo i oii, ?oi iaoaieci i?iaiaeiinoe inoaao-
ny aeoooceiiiui aieiou ai g ? 1, a neeuiue ?ino i?iaiaeiinoe n oaaee?aieai
oaiia?aoo?u e iaaieoiiai iiey aucaai iiaaaeaieai eioa?oa?aioeiiiie eaaioiaie
iii?aaee, eioi?ay i?e ieceie oaiia?aoo?a n?aaieia ii aanie?oiiio cia?aie? n
A?oaaaneie i?iaiaeiinou?.

27
7. Enneaaiaaiey i?iaiaeiinoe a ?a?eia neaaiai ecieyoi?a iieacaee, ?oi yenia?eiai-
oaeuii ii?aaaeyaiay aaee?eia nei?inoe ?aeaenaoee oacu ia niaiaaaao n aa enoeiiui
cia?aieai  iia niaa??eo oaiia?aoo?ii iacaaeneiue aeeaa, aaee?eia eioi?iai ii?a-
aaeyaony aeeiie eieaeecaoee. A ?aaioa iieacaii, ?oi iniiaiua iniaaiiinoe eioa?oa-
?aioeiiiie eaaioiaie iii?aaee yaey?ony oieaa?naeuiuie e ii?aaaey?ony oieuei
i?iaiaeiinou? nenoaiu.

8. Yenia?eiaioaeuii enneaaiaaii aeeyiea i?iaieuiiai iaaieoiiai iiey ia iiia?a?io?
iiei?eoaeuio? iaaieoii?iaiaeiinou, naycaiio? n iiaaaeaieai eioa?oa?aioeiiiie
eaaioiaie iii?aaee. Iaia?o?aii, ?oi oa?aeoa? yoiai aeeyiey a nouanoaaiiie noa-
iaie caaeneo io niioiioaiey ia?ao n?aaiae aeeiie naiaiaiiai i?iaaaa e oa?aeoa?-
iui eaoa?aeuiui ?acia?ii oa?ioiaaoinoe eioa?oaenia, oi?ie?o?ueo eaaioiao?
yio. Iieacaii, ?oi enneaaiaaiey neaaie eieaeecaoee a iaeeiiiii iaaieoiii iiea
yaey?ony eino?oiaioii, iicaiey?uei ia?ac?ooa?uei niiniaii yenia?eiaioaeuii
ii?aaaeeou ia?aiao?u oa?ioiaaoinoe noaiie eaaioiaie yiu.

9. Enneaaiaaiey yooaeoia aioeeieaeecaoee a iaeii?iuo eaaioiauo yiao GaAs/Inx
Ga1?x As/ GaAs n yeaeo?iiiie i?iaiaeiinou? iieacaee, ?oi iniiaiie aeeaa a aioe-
eieaeecaoe? aaao yooaeo A?annaeuoaoca. Iaia?o?aii, ?oi aee??aiea i?iaieuiiai
iaaieoiiai iiey eciaiyao oa?aeoa? caaeneiinoe i?iaiaeiinoe io iiia?a?iiai iaa-
ieoiiai iiey n aioeeieaeecaoeiiiiai ia eieaeecaoeiiiue. Iieacaii, ?oi yoi yaey-
aony neaanoaeai eiieo?e?o?uaai aaenoaey aaoo iaoaieciia  iaoaiecia, aucaaiiiai
oa?ioiaaoinou? noaiie eaaioiaie yiu, e iaoaiecia, naycaiiiai n yooaeoii Caaia-
ia.

10. Enneaaiaaiey eaaioiauo yi au?i?iiai oeia i?iaiaeiinoe iieacaee, ?oi iniaaiiinoe
niei-caaeneiuo yooaeoia a yoeo nenoaiao naycaiu ni niaoeoeeie niaeo?a au?i?aai-
iie aaeaioiie ciiu ?iaeoaeuneeo iaoa?eaeia. Iaia?o?aii, ?oi iniiaiui iaoaiec-
iii, i?eaiayuei e niei-i?aeoaeuiiio ?anuaieaie? niaeo?a au?ie e ii?aaaey?uei
aioeeieaeecaoe? a iai?y?aiiuo eaaioiauo yiao GaAs/Inx Ga1?x As/GaAs, yaeyaony
iaoaieci Au?eiaa-?aoau. Iieacaii, ?oi a ioee?ea io yeaeo?iiiiai niaeo?a, a eioi-
?ii yoio iaoaieci i?eaiaeo e eeiaeiiio ii eaaceeiioeuno ?anuaieaie? niaeo?a,
?anuaieaiea au?i?iiai niaeo?a i?iii?oeiiaeuii o?aouae noaiaie eaaceeiioeuna.
Onoaiiaeaii, ?oi aaee?eia ?anuaieaiey a nouanoaaiiie noaiaie ii?aaaeyaony o?aiy
oaeoi?aie  eiioaio?aoeae au?ie, oi?iie eaaioiaie yiu e aaee?eiie iaoaie?a-
neeo iai?y?aiee a neia, oi?ie?o?uai eaaioiao? yio.

Aaeaa neaao?o o?e I?eei?aiey, i?aanoaaey?ueo niaie: nienie iaicia?aiee e nie?a-
uaiee, eniieuciaaiiuo a aenna?oaoee; oaaeeoo ia?aiao?ia oaa?auo ?anoai?ia Inx Ga1?x As;
iienaiea niiniaa ii?aaaeaiey aaee?eiu kF l, eniieuciaaiiiai a ?aaioa.


Nienie ioaeeeaoee ii oaia aenna?oaoee
1. A. I. Ieiueia, N. A. Iaaaoaa, I. Y. ?oo, A. A. Aa?iaiaiei, A. A. Aaeyaa, A. E.
Ao?oiaie. Neaaay eieaeecaoey e ia?iiaciiiua ia?aoiau a ?-eaae?iaaiiii GaAs//
OOI.  1998.  T. 32.  N. 12.  C. 1456  1460.

2. A. I. Ieiueia, N. A. Iaaaoaa, I. Y. ?oo, A. A. Aa?iaiaiei, I. E. O?ueei, A. E.
Oaoeei, A. I. Aaieeuoaa. Iiaue iiaoia e aiaeeco IIN a 2D no?oeoo?ao // OOI.
 1999.  T. 33.  N. 8.  C. 986  989.

28
3. G. M. Minkov, A. V. Germanenko, A. V. Larionova, S. A. Negashev, I. V. Gornyi. Analysis
of negative magnetoresistance: statistics of clothed paths. I. Theory// Phys. Rev. B.  2000.
 V. 61.  N. 19.  P. 13164  13171.

4. G. M. Minkov, S. A. Negashev, O. E. Rut, A. V. Germanenko, O. I. Khrykin, V. I. Shashkin,
V. M. Danil'tsev. Analysis of negative magnetoresistance: statistics of clothed paths. II.
Experiment// Phys. Rev. B.  2000.  V. 61.  N. 19.  P. 13172  13176.
5. G. M. Minkov, A. V. Germanenko, O. E. Rut, O. I. Khrykin, V. I. Shashkin, V. M.
Daniltsev. Interwell transitions and negative magnetoresistance in double quantum well
geterostructures// Nanotechnology.  2000.  V. 11.  N. 4.  P. 406  410.
6. G. M. Minkov, A. V. Germanenko, O. E. Rut, V. I. Shashkin, O. I. Khrykin, V. M.
Daniltsev. Low-eld negative magnetoresistance in double layer structures// Phys. Rev. B.
 2000.  V. 62.  N. 24.  P. 17089  17093.

7. G. M. Minkov, O. E. Rut, A. V. Germanenko, A. A. Sherstobitov, V. I. Shashkin, O. I.
Khrykin, V. M.Daniltsev. Quantum corrections to conductivity in two dimenshional systems:
Agreement between theory and experiment// Phys. Rev. B.  2001.  V. 64.  N. 23.  P.
235327 (1  7).

8. A. V. Germanenko, G. M. Minkov, O.E.Rut. Weak localization in macroscopically inhomo-
geneous two-dimensional systems: a simulation approach// Phys. Rev. B.  2001.  V. 64.
 N. 16.  P. 165404 (1  5).

9. A. V. Germanenko, G. M. Minkov, O.E. Rut. Simulation approach to weak localization in
inhomogeneous two-dimensional systems and diusive constrictions// Nanotechnology. 
2001.  V. 12.  N. 4.  P. 614  618.

10. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, B. N. Zvonkov, E. A.
Uskova, A.A. Birukov. Role of doped layers in the dephasing of two-dimensional electrons
in quantum-well structures// Phys. Rev. B.  2001.  V. 64.  N. 19.  P. 193309 (1  4).
11. G. M. Minkov, O. E. Rut, A. V. Germanenko, A. A.Sherstobitov, B. N. Zvonkov, E. A.
Uskova, A. A. Birukov. Quantum corrections to conductivity: from weak to strong localiza-
tion// Phys. Rev. B.  2002.  V. 65.  N. 23.  P. 235322 (1  8).
12. G. M. Minkov, O. E. Rut, A. V. Germanenko, A. A. Sherstobitov, V. I. Shashkin, O. I.
Khrykin, B. N. Zvonkov. Electron-electron interaction with decreasing conductance// Phys.
Rev. B.  2003.  V. 67.  N. 20.  P. 205306 (1  8).

13. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, B. N. Zvonkov. Antilo-
calization in gated 2d quantum well structures with composition gradient // International
Journal of Nanoscience.  2003.  V. 2.  N. 6.  P. 543  549.

14. A. A. Aa?iaiaiei, A. I. Ieiueia, I. Y. ?oo, A. A. Oa?noiaeoia, E. A. Ai?iue, A. E.
Oaoeei, I. E. O?ueei, A. I. Caiieia. ?aeaenaoey oacu n ?inoii aanii?yaea a
no?oeoo?ao GaAs-InGsAs// Ecaanoey Aeaaaiee Iaoe. Na?ey oece?aneay.  2004. 
T. 68.  C. 61  64.

15. G. M. Minkov, O. E. Rut, A. V. Germanenko, A. A. Sherstobitov, B. N. Zvonkov, V. I.
Shashkin, O. I. Khrykin, D. O. Filatov Transverse negative magnetoresistance of two-
dimensional structures in the presence of a strong in-plane magnetic eld: Weak localization
as a probe of interface roughness// Phys. Rev. B.  2004.  V. 70.  N. 3.  P. 035304
(18).

29
16. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, L. E. Golub, B. N.
Zvonkov, M.Willander. Weak antilocalization in quantum wells in tilted magnetic elds//
Phys. Rev. B.  2004.  V. 70.  N. 15.  P. 155323 (1  7).

17. G. M. Minkov, A. V. Germanenko, I. V. Gornyi. Magnetoresistance and dephasing in a
two-dimensional electron gas at intermediate conductances// Phys. Rev. B.  2004.  V. 70.
 N. 24.  P. 245423 (1  24).

18. G. M. Minkov, A. A. Sherstobitov, A. V. Germanenko, O. E. Rut, V. A. Larionova, B. N.
Zvonkov. Antilocalization and spin-orbit coupling in hole strained GaAs/ InGaAs/ GaAs
quantum well heterostructures// Phys. Rev. B.  2005.  V. 71.  P. 165312 (1  7).

19. A. A. Aa?iaiaiei, A. I. Ieiueia, I. Y. ?oo, A. A. Ea?eiiiaa, A. I. Caiieia, A. E.
Oaoeei, I. E. O?ueei, A. I. Oeeaoia. Aeeyiea oa?ioiaaoinoe aaoia?iuo aaoa-
?ino?oeoo? ia neaao? eieaeecaoe?// OOO.  2005.  T. 47.  N. 1.  C. 128  135.

20. G. M. Minkov, S. A. Negashev, O. E. Rut, A. V. Germanenko. Weak localization and
intersubbands transitionsin ?-doped GaAs// Proceedings of 6th International Symposium
Nanostructures: Physics and Technology (St.Petersburg, June 23  26, 1998),  P. 135.

21. A. V. Germanenko, A. V. Larionova, G. M. Minkov, S. A. Negashev. Anomalous magneto-
conductance due to weak localization in 2D systems with anisotropic scattering: computer
simulation// Proceedings of 7th International Symposium Nanostructures: Physics and
Technology (St. Petersburg, June 14  18, 1999),  P. 190  193.

22. A. I. Ieiueia, N. A. Iaaaoaa, I. Y. ?oo, A. A. Aa?iaiaiei, I. E. O?ueei, A. E.
Oaoeei, A. I. Aaieeuoaa. Iiaue iiaoia e aiaeeco io?eoaoaeuiiai iaaieoinii?i-
oeaeaiey a 2D neneaiao // IV ?inneeneie eiioa?aioee ii oeceea iieoi?iaiaieeia.
Oacenu aieeaaia (Iiaineae?ne, 25  29 ieoya?y, 1999),  C. 173.

23. A. A. Aa?iaiaiei, A. A. Ea?eiiiaa, A. I. Ieiueia, N. A. Iaaaoaa. Eaaioiaua eioa?-
oa?aioeiiiua iii?aaee e i?iaiaeiinoe 2D nenoai. ?acoeuoaou ?eneaiiiai iiaaee-
?iaaiey// IV ?inneeneay eiioa?aioey ii oeceea iieoi?iaiaieeia. Oacenu aieeaaia
(Iiaineae?ne, 25  29 ieoya?y, 1999),  C. 202.

24. A. A. Aa?iaiaiei, A. I. Ieiueia, N. A. Iaaaoaa, I. Y. ?oo, I. E. O?ueei, A. E.
Oaoeei, A. I. Aaieeuoaa. Oa?aeoa?ecaoey ?-eaae?iaaiiuo neiaa GaAs n eniieuci-
aaieai neeuiuo iaaieoiuo iieae// Iaiioioiieea. Iaoa?eaeu niaauaiey (Ie?iee
Iiaai?ia, 20  23 ia?oa, 2000),  C. 78  79.

25. G. M. Minkov, A. V. Germanenko, O.E.Rut, O. I. Khrykin, V. I. Shashkin, V. M. Daniltsev.
Weak localization in double layer structure// Proceedings of 25th International Conference
on Physics of Semiconductor (Osaka, Japan, September 18  22, 2000),  P. 816.

26. G. M. Minkov, A. V. Germanenko, O. E. Rut, O. I. Khrykin, V. I. Shashkin, V. M.
Danil'tsev. Low eld negative magnetoresistance in double layer structures // Proceedings
of 8th International Symposium Nanostructures: Physics and Technology (St. Petersburg,
June 17  21, 2000),  P. 66  69.

27. A. I. Ieiueia, A. A. Aa?iaiaiei, I. Y. ?oo. Eaaioiaua iii?aaee e i?iaiaeiinoe
a 2D: io neaaie e neeuiie eieaeecaoee// V ?inneeneay eiioa?aioey ii oeceea
iieoi?iaiaieeia. Oacenu aieeaaia. (Ie?iee Iiaai?ia, 10  14 naioya?y, 2001), 
C. 296.

30
28. A. V. Germanenko, G. M. Minkov, O. E. Rut. Simulation approach to weak localization in
inhomogeneous two-dimensional systems// Proceedings of 9th International Symposium
Nanostructures: Physics and Technology (St. Petersburg, June 18  22, 2001),  P. 594
 597.

29. G. M. Minkov, A. V. Germanenko, O. E. Rut, B. N. Zvonkov, E. A. Uskova, A.A. Birukov.
The role of doped layers in the dephasing of two-dimensional electrons in quantum-well
structures// Proceedings of 9th International Symposium Nanostructures: Physics and
Technology (St. Petersburg, June 18  22, 2001),  P. 598  600.

30. G. M. Minkov, O. E. Rut, A. V. Germanenko. Quantum corrections to the conductivity in
2D: from weak to strong localization// 9th International Conference Hopping and related
phenomena (Shefayim, Israel, September 3  6, 2001),  P. 53.

31. G. M. Minkov, O. E. Rut, A. V. Germanenko. Quantum corrections to conductivity in
2D: from weak to strong localization// International Symposia Quantum Hall Eect and
Heterostructures and Rontgen's Heritage. Abstracts. (Wurzburg, Germany, December
10  15, 2001),  P. 19.

32. G. M. Minkov, O. E. Rut, A. V. Germanenko, B. N. Zvonkov, E. A. Uskova, A. A. Birukov.
Role of doped layers in phase relaxation of carriers in quantum well // International Sympo-
sia Quantum Hall Eect and Heterostructures and Rontgen's Heritage. Abstracts.
(Wurzburg, Germany, December 10  15, 2001),  P. 37.

33. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A.Sherstobitov, E. A. Uskova B. N. Zvon-
kov, A. A. Birukov. The conductivity of disordered 2D systems: from weak to strong
localization// XIV O?aeuneay ia?aoia?iaiay ceiiyy oeiea ii oeceea iieoi?iaia-
ieeia. Yeaeo?iiiua naienoaa iecei?acia?iuo iieo- e naa?oi?iaiaieeiauo no?oeoo?
(Aeaoa?eiao?a, 18  22 oaa?aey, 2002),  P. 18.

34. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, B. N. Zvonkov, E. A.
Uskova, A. A. Birukov. The conductivity of disordered 2D systems: from weak to strong
localization// Proceedings of 10th International Symposium Nanostructures: Physics and
Technology (St.Petersburg, June 17  21, 2002),  P. 538  541.

35. A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, V. I. Shashkin, O. I. Khrykin, B. N.
Zvonkov. Electron-electron interaction in 2D systems with lowering conductivity// Proce-
edings of 11th International Symposium Nanostructures: Physics and Technology (St.
Petersburg, June 23  28, 2003),  P. 253  255.

36. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, B. N. Zvonkov Antiloca-
lization and Rashba spin-orbit coupling in the gated 2D quantum well structures with the
composition gradient // Proceedings of 11th International Symposium Nanostructures:
Physics and Technology (St.Petersburg, June 23  28, 2003),  P. 279  280.

37. O. E. Rut, G. M. Minkov, A. V. Germanenko, A. A. Sherstobitov, I. V. Gornyi, V. I.
Shashkin, O. I. Khrykin, B. N. Zvonkov. Interference correction and dephasing at increasing
disorder // Proceedings of 11th International Symposium Nanostructures: Physics and
Technology (St.Petersburg, June 23  28, 2003),  P. 407  409.

38. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, B. N. Zvonkov, E. A.
Uskova, A. A. Birukov. The conductivity of disordered 2D systems: from weak to strong
localization// Proceedings of 26th International Conference on the Physics of Semicondu-
ctors. Part 3 (Edinburgh, Scotland, July 29  August 2, 2002),  P. 221.

31
39. A. V. Germanenko, G. M. Minkov, O. E. Rut, A. A. Sherstobitov, B. N. Zvonkov, E. A.
Uskova, A. A. Birukov. Role of doped layers in phase relaxation of carriers in quantum
well // Proceedings of 26th International Conference on the Physics of Semiconductors.
Part 1 (Edinburgh, Scotland, July 29  August 2, 2002),  P. 142.

40. G. M. Minkov, A. V. Germanenko, A. A. Sherstobitov. Weak Localization in a Magnetic
Field: The Role of Scattering Anisotropy and Correlation in Impurity Distribution// Proce-
edings 15th International Conference on High Magnetic Fields in Semiconductor Physics.
Abstracts Book (Oxford, UK, August 5  9, 2002),  P. 162.

41. A. A. Aa?iaiaiei, A. I. Ieiueia, I. Y. ?oo, A. A. Oa?noiaeoia, E. A. Ai?iue, A. E.
Oaoeei, I. E. O?ueei, A. I. Caiieia. Aaoaceia n ?inoii aanii?yaea a no?oeoo?ao
GaAs/InGaAs// Iaiioioiieea. Iaoa?eaeu niaauaiey (Ie?iee Iiaai?ia, 17  20
ia?oa, 2003),  C. 371  374.

42. A. V. Germanenko, G. M. Minkov, O. E. Rut, A. A. Sherstobitov, I. V. Gornyi. Interference
correction and dephasing at increasing disorder // The 15th International Conference on
Electronic Properties of Two-Dimensional Systems. EP2DS-15. Conference Workbook.
(Nara, Japan, July 14 - July 18, 2003),  P. 346.

43. A. V. Germanenko, G. M. Minkov, O. E. Rut, A. A. Sherstobitov. Eect of strong in-plane
magnetic eld on negative magnetoresistance in 2D at low perpendicular magnetic eld //
The 15th International Conference on Electronic Properties of Two-Dimensional Systems.
EP2DS-15. Conference Workbook. (Nara, Japan, July 14 - July 18, 2003),  P. 358.

44. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, B. N. Zvonkov. Is
the conductivity of 2D systems hopping at ? < e2 /h? // Abstracts of 10th International
Conference Hopping and related phenomena (Trieste, Italy, September 1  4, 2003),  P.
47.

45. A. A. Aa?iaiaiei, I. Y. ?oo, A. I. Ieiueia, A. A. Oa?noiaeoia, A. I. Caiieia. A aaa
?a aeeaa ?anuaieaiey ?aoau a neaao? eieaeecaoe?? // VI ?inneeneay eiioa?aioey
ii oeceea iieoi?iaiaieeia. Oacenu aieeaaia. (Naieo-Iaoa?ao?a, 27  31 ieoya?y,
2003),  C. 84.

46. A. I. Ieiueia, A. A. Aa?iaiaiei, I. Y. ?oo, A. A. Oa?noiaeoia, A. I. Caiieia. I?eai-
aeo ee Aiaa?niiianeay eieaeecaoey a 2D e i?u?eiaie i?iaiaeiinoe? // VI ?innee-
neay eiioa?aioey ii oeceea iieoi?iaiaieeia. Oacenu aieeaaia. (Naieo-Iaoa?ao?a,
27  31 ieoya?y, 2003),  C. 89.

47. A. I. Ieiueia, A. A. Aa?iaiaiei, A. A. Oa?noiaeoia, I. Y. ?oo, A. I. Caiieia.
Aeeyiea iaieineinoiinoe 2D no?oeoo?u ia neaao? eieaeecaoe?// VI ?inneeneay
eiioa?aioey ii oeceea iieoi?iaiaieeia. Oacenu aieeaaia. (Naieo-Iaoa?ao?a, 27 
31 ieoya?y, 2003),  C. 330.

48. A. A. Aa?iaiaiei, A. I. Ieiueia, I. Y. ?oo, A. A. Oa?noiaeoia, E. A. Ai?iue. Aaoa-
ceia a eaaioiauo yiao GaAs/InGaAs/GaAs// VI ?inneeneay eiioa?aioey ii oeceea
iieoi?iaiaieeia. Oacenu aieeaaia. (Naieo-Iaoa?ao?a, 27  31 ieoya?y, 2003),  C.
333.

49. A. A. Aa?iaiaiei, I. Y. ?oo, A. I. Ieiueia, A. A. Oa?noiaeoia Aioeeieaeecaoey a
eaaioiauo yiao GaAs/InGaAs/GaAs// XV O?aeuneay ia?aoia?iaiay ceiiyy oeiea
ii oeceea iieoi?iaiaieeia. Yeaeo?iiiua naienoaa iecei?acia?iuo iieo- e naa?o-
i?iaiaieeiauo no?oeoo? (Aeaoa?eiao?a  Euooui, 16  21 oaa?aey, 2004),  P. 85.

32
50. A. A. Aa?iaiaiei, A. I. Ieiueia, I. Y. ?oo, A. A. Ea?eiiiaa, A. E. Oaoeei, I. E.
O?ueei, A. I. Caiieia Aeeyiea iaieineinoiinoe 2D no?oeoo?u ia neiao? eieaee-
caoe?// Iaiioioiieea. Iaoa?eaeu niaauaiey (Ie?iee Iiaai?ia, 2  6 iay, 2004),
 C. 353.

51. A. V. Germanenko, G. M. Minkov, A. A. Sherstobitov, O. E. Rut, V. A. Larionova, B. N.
Zvonkov, V. I. Shashakin, O. I. Khrykin, D. O. Filatov. Weak localization as a probe
of onterface roughness in two-dimensional structures// Proceedings of 12th International
Symposium Nanostructures: Physics and Technology (St.Petersburg, June 21  25, 2004),
 P. 142  143.

52. G. M. Minkov, A. V. Germanenko, O. E. Rut, A. A. Sherstobitov, V. A. Larionova, B. N.
Zvonkov. Antilocalization and spin-orbit coupling in hole strained GaAs/InGaAs/ GaAs
quantum well heterostructures// Proceedings of 12th International Symposium Nanostru-
ctures: Physics and Technology (St.Petersburg, June 21  25, 2004),  P. 282  283.

53. Alexander Germanenko, Grigori Minkov, Andrey Sherstobitov, Olga Rut, Viola Larionova.
Weak localization as a probe of interface roughness in two-dimensional structures // Proce-
edings of 27th International Conference on the Physics of Semiconductors. Part 3 (Flagsta,
Arizona, July 26  30, 2004),  P. Q5.185.

54. A. V. Germanenko, G. M. Minkov, O. E. Rut, A. A. Sherstobitov, V. A. Larionova.
Antilocalization and spin-orbit coupling in 2DHG in strained GaAs/InGaAs/GaAs quantum
well heterostructures// Proceedings 16th International Conference on High Magnetic Fields
in Semiconductor Physics. Abstracts Book (Tallahassee, Florida, August 2  6, 2004),  P.
ThP7.

55. A. A. Aa?iaiaiei, I. Y. ?oo, A. A. Ea?eiiiaa, A. I. Ieiueia, A. A. Oa?noiaeoia,
A. I. Caiieia. Aioeeieaeecaoey e niei-i?aeoaeuiia acaeiiaaenoaea a iai?y?ai-
iuo eaaioiauo yiao InAs/InGaAs/GaAs p-oeia// Iaiioeceea e iaiiyeaeo?iieea.
Iaoa?eaeu Ceiioiceoia (Ie?iee Iiaai?ia, 25  29 ia?oa, 2005),  P. 344  345.

56. A. V. Germanenko, I. V. Gornyi, G. M. Minkov, V. A. Larionova Dephasing in presence of
a magnetic eld // Proceedings of 12th International Symposium Nanostructures: Physics
and Technology (St.Petersburg, June 20  25, 2005),  P. 189  190.


Nienie eeoa?aoo?u
[1] E. Abrahams, P. W. Anderson, D. C. Licciardello, T. V. Ramakrishnan. Scaling Theory of
Localization: Absence of Quantum Diusion in Two Dimensions// Phys. Rev. Lett.  1979.
 V. 42.  N. 10.  P. 673  676.

[2] B. L. Altshuler, A. G. Aronov. Electron-electron interaction in disordered conductors. in
Electron-Electron Interaction in Disordered Systems, Edited by A. L. Efros and M. Pollak
(North Holland, Amsterdam) 1985.  P. 1  153.

[3] P. A. Lee, T. V. Ramakrishnan. Disordered Electronic Systems// Rev. Mod. Phys.  1985.
 V. 57.  N. 2.  P. 287  337.

[4] K. M. Cham, R. G. Wheeler Temperature-Dependent Resistivities in Silicon Inversion
Layers at Low Temperatures// Phys. Rev. Lett.  1980.  V. 44.  N. 22.  P. 1472 
1475.

33
[5] B. J. F. Lin, M. A. Paalanen, A. C. Gossard, D. C. Tsui. Weak localization of two-
dimensional electrons in GaAs-Alx Ga1?x As heterostructures// Phys. Rev. B.  1984. 
V. 29.  N. 2.  P. 927  934.

[6] W. Poirier, D. Mailly, M. Sanquer. Electron-electron interaction in doped GaAs at high
magnetic eld // Phys. Rev. B.  1998.  V. 57.  N. 7.  P. 3710  3713.

[7] W. Knap, A. Zduniak, L. H. Dmowski, S. Contreras, M. I. Dyakonov. Study of transport,
phase, and spin relaxation times of 2D electrons by means of pressure// Phys. Stat. Sol.
(b).  1996.  V. 198.  P. 267  281.

[8] Gabor Zala, B. N. Narozhny, I. L. Aleiner. Interaction corrections at intermediate
temperatures: Longitudinal conductivity and kinetic equation// Phys. Rev. B.  2001. 
V. 64.  N. 21.  P. 214204 (1  31).

[9] S. Hikami, A. I. Larkin, Y. Nagaoka. Spin-orbit interaction and magnetoresistance in the
two dimensional random system// Progress of Theoretical Physics.  1980.  V. 63.  P.
707  710.

[10] H.-P. Wittmann, A. Schmid. Anomalous magnetoconductance beyond the diusion limit//
Journal of Low Temperature Physics.  1987.  V. 69.  P. 131  149.

[11] I. L. Aleiner, B. L. Altshuler, M. E.Gershenzon. Interaction eects and phase relaxation in
disordered systems// Waves in Random Media.  1999.  V. 9.  P. 201  240.

[12] D. S. Golubev, A. D. Zaikin. Quantum Decoherence in Disordered Mesoscopic Systems//
Phys. Rev. Lett.  1998.  V. 81.  N. 5.  P. 1074  1077.

[13] E. I. Ai?ueia, A. E. Ea?eei, A. A. Oiaeuieoeee. I?iaiaeiinou ?anoeou a aaoia?iii
neo?aeiii iioaioeaea// Ienuia ?YOO.  1979.  T. 30.  N. 4.  C. 248  253.

[14] A. P. Dmitriev, V. Yu. Kachorovskii, I. V. Gornyi. Nonbackscattering contribution to weak
localization// Phys. Rev. B.  1997.  V. 56.  N. 15.  P. 9910  9917.

[15] I. V. Lerner, Y. Imry.// Europhys. Lett.  1995.  V. 29.  P. 49.

[16] S. Hikami. Anderson localization in a nonlinear ?-model representation// Phys. Rev. B. 
1981.  V. 24.  N. 5.  P. 2671  2679.

[17] B. N. Narozhny, Gabor Zala, I. L. Aleiner. Interaction corrections at intermediate
temperatures: Dephasing time// Phys. Rev. B.  2002.  V. 65 .  N. 18.  P. 180202(R)
(14).

[18] E. A. Ai?iue, A. A. A?ioaa, N. A. Iiaieoiiia. Eiiiaioa?ee e noaoua A. A. A?ioaaa,
N. A. Iiaieoiiiaa Io?eoaoaeuiia iaaieoinii?ioeaeaiea e eiyooeoeaio Oieea
aaoia?iie iaoii?yai?aiiie nenoaiu// OOO.  2001.  T. 43.  N. 4.  C. 766.

[19] A. G. Malshukov, K. A. Chao, M. Willander. Magnetoresistance of a weakly disordered III-
V semiconductor quantum well in a magnetic eld parallel to interfaces// Phys. Rev. B. 
1997.  V. 56.  N. 11.  P. 6436  6439.

[20] H. Mathur, Harold U. Baranger. Random Berry phase magnetoresistance as a probe of
interface roughness in Si MOSFET's// Phys. Rev. B.  2001.  V. 64.  N. 23.  P. 235325
(1  20).

34
[21] S. V. Iordanskii, Yu. B. Lyanda-Geller, G. E. Pikus. Weak localization in quantum wells
with spin-orbit interaction// Ienuia a ?YOO.  1994.  T. 60 .  N. 3.  C. 199  203.

[22] I. E. Auyeiiia, A. E. Ia?aeu. I nieiiaie i?eaioaoee yeaeo?iiia i?e ia?ciiiii
iiaeiuaiee naaoa a iieoi?iaiaieeao // ?YOO.  1971.  T. 60.  C. 1954  1965.

[23] I. E. Aueiiia, A. ?. Ea?i?ianeee. Nieiiaay ?aeaenaoey aaoia?iuo yeaeo?iiia a
iaoaio?aeuiineiiao?e?iuo iieoi?iaiaieeao // OOI.  1986.  T. 20.  C. 110  112.




35
Iiaienaii a ia?aou . Oi?iao 60 ? 84/16.
Aoiaaa ionaoiay. One. ia?. e. 2,25. Caeac . Oe?a? 100.
Ioia?aoaii a EIO Ecaaoaeunoai O?AO.
a. Aeaoa?eiao?a, oe. Oo?aaiaaa, 4.

<<

. 2
( 2)