Geodesic
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

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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. 
@article{TMF_1978_37_2_a10,
     author = {V. A. Fedorin},
     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},
     pages = {265--273},
     publisher = {mathdoc},
     volume = {37},
     number = {2},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a10/}
}
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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/