On narrow-gap electron spectra of semiconductors two-band model with electron-phonon interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 265-273 Cet article a éte moissonné depuis la source Math-Net.Ru

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A two-band model of a narrow-gap semiconductor with interband electron-phonon and $\mathbf{k\cdot P}$-interactions is studied. For the functions that describe the contribution of the electron-phonon interaction to the interband mixing, an equation of the type obtained in superconductivity theory is derived. The equation has a nontrivial solution if a certain condition imposed on the parameters of the semiconductor is satisfied. The renormalization of the energies of the electron bands by the interband electron-phonon interaction is taken into account. The behavior of the corrections to the electron gap as a function of the temperature is estimated and their relationship to experiments is discussed.
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     title = {On narrow-gap electron spectra of semiconductors two-band model with electron-phonon interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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}
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V. A. Fedorin. On narrow-gap electron spectra of semiconductors two-band model with electron-phonon interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 265-273. http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a10/

[1] J. Bardeen, L. N. Cooper, J. R. Schrieffer, Phys. Rev., 108 (1957), 1175 ; Н. Н. Боголюбов, ЖЭТФ, 34, 58 ; (1958), 73 ; Л. П. Горьков, ЖЭТФ, 34 (1958), 735 | DOI | MR | Zbl | Zbl | Zbl | Zbl

[2] L. V. Keldysh, Yu. V. Kopaev, FTT, 6 (1964), 2791; А. Н. Козлов, Л. А. Максимов, ЖЭТФ, 48 (1965), 1184; J. Cloizeaux, J. Phys. Chem. Sol., 26 (1965), 259 | DOI

[3] L. P. Gorkov, T. T. Mnatsakanov, ZhETF, 63 (1972), 684

[4] E. O. Kane, J. Phys. Chem. Sol., 1 (1956), 249 | DOI

[5] I. M. Tsidilkovskii, Elektrony i dyrki v poluprovodnikakh, «Nauka», 1972

[6] B. A. Volkov, Yu. V. Kopaev, ZhETF, 64 (1973), 2184

[7] N. N. Kristoffel, P. I. Konsin, Phys. Stat. Sol., 28 (1968), 731 ; УФН, 120 (1976), 507 ; Г. Л. Маилян, З. К. Петру, ТМФ, 27 (1976), 233 ; Н. М. Плакида, Г. Л. Маилян, ФТТ, 19 (1977), 121; Phys. Stat. Sol., 80 (1977), 543 | DOI | DOI | DOI

[8] N. N. Bogolyubov, S. V. Tyablikov, DAN SSSR, 126 (1959), 53 | Zbl

[9] D. N. Zubarev, UFN, 71 (1960), 71 | DOI | MR

[10] A. E. Glauberman, Izv. AN SSSR, ser. fiz., 29 (1965), 4; А. Е. Глауберман, И. В. Стасюк, УФЖ, 9 (1964), 3

[11] N. N. Bogolyubov, DAN SSSR, 119 (1958), 244

[12] A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinskii, Metody kvantovoi teorii polya v statisticheskoi fizike, Fizmatgiz, 1962 | MR | Zbl

[13] Yu. I. Ravich, B. A. Efimova, I. A. Smirnov, Metody issledovaniya poluprovodnikov v primenenii k khalkogenidam svintsa $\mathrm{PbTe}$, $\mathrm{PbSe}$, $\mathrm{PbS}$, «Nauka», 1968

[14] A. S. Davydov, Teoriya tverdogo tela, «Nauka», 1976 | Zbl