Mel’nikov, A. P., Gurvich, Y. A., Shestakov, L. N., & Gershenzon, E. M. (2001). Magnetic field effects on the nonohmic impurity conduction of uncompensated crystalline silicon. Jetp Lett., 73(1), 44–47.
Abstract: The impurity conduction of a series of crystalline silicon samples with the concentration of major impurity N ≈ 3 × 1016 cm−3 and with a varied, but very small, compensation K was measured as a function of the electric field E in various magnetic fields H-σ(H, E). It was found that, at K < 10−3 and in moderate E, where these samples are characterized by a negative nonohmicity (dσ(0, E)/dE < 0), the ratio σ(H, E)/σ(0, E) > 1 (negative magnetoresistance). With increasing E, these inequalities are simultaneously reversed (positive nonohmicity and positive magnetoresistance). It is suggested that both negative and positive nonohmicities are due to electron transitions in electric fields from impurity ground states to states in the Mott-Hubbard gap.
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Sergeev, A., Karasik, B. S., Ptitsina, N. G., Chulkova, G. M., Il'in, K. S., & Gershenzon, E. M. (1999). Electron–phonon interaction in disordered conductors. Phys. Rev. B Condens. Matter, 263-264, 190–192.
Abstract: The electron–phonon interaction is strongly modified in conductors with a small value of the electron mean free path (impure metals, thin films). As a result, the temperature dependencies of both the inelastic electron scattering rate and resistivity differ significantly from those for pure bulk materials. Recent complex measurements have shown that modified dependencies are well described at K by the electron interaction with transverse phonons. At helium temperatures, available data are conflicting, and cannot be described by an universal model.
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Ptitsina, N. G., Chulkova, G. M., Il’in, K. S., Sergeev, A. V., Pochinkov, F. S., Gershenzon, E. M., et al. (1997). Electron-phonon interaction in disordered metal films: The resistivity and electron dephasing rate. Phys. Rev. B, 56(16), 10089–10096.
Abstract: The temperature dependence of the resistance of films of Al, Be, and NbC with small values of the electron mean free path l=1.5–10nm has been measured at 4.2–300 K. The resistance of all the films contains a T2 contribution that is proportional to the residual resistance; this contribution has been attributed to the interference between the elastic electron scattering and the electron-phonon scattering. Fitting the data to the theory of the electron-phonon-impurity interference (M. Yu. Reiser and A. V. Sergeev, Zh. Eksp. Teor. Fiz. 92, 224 (1987) [Sov. Phys. JETP 65, 1291 (1987)]), we obtain constants of interaction of the electrons with transverse phonons, and estimate the contribution of this interaction to the electron dephasing rate in thin films of Au, Al, Be, Nb, and NbC. Our estimates are in a good agreement with the experimental data on the inelastic electron-phonon scattering in these films. This indicates that the interaction of electrons with transverse phonons controls the electron-phonon relaxation rate in thin-metal films over a broad temperature range.
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Chulcova, G. M., Ptitsina, N. G., Gershenzon, E. M., Gershenzon, M. E., & Sergeev, A. V. (1996). Effect of the interference between electron-phonon and electron-impurity (boundary) scattering on resistivity Nb, Al, Be films. In Czech J. Phys. (Vol. 46, pp. 2489–2490).
Abstract: The temperature dependence of the resistivity of thin Nb, Al, Be films has been studied over a wide temperature range 4-300 K. We have found that the temperature-dependent correction to the residual resistivity is well described by the sum of the Bloch-Grüneisen term and the term originating from the interference between electron-phonon and electron-impurity scattering. Study of the transport interference phenomena allows to determine electron-phonon coupling in disordered metals. The interference term is proportional to T2 and also to the residual resistivity and dominates over the Bloch-Grüneisen term at low temperatures (T<40 K).
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Gershenzon, E. M., Gurvich, Y. A., Orlova, S. L., & Ptitsina, N. G. (1975). Cyclotron resonance of electrons in Ge in a quantizing magnetic field in the case of inelastic scattering by acoustic phonons. Sov. Phys. JETP, 40(2), 311–315.
Abstract: Results are presented of an experimental study of the linewidth of cyclotron resonance under strong quantization conditions on the scattering of electrons by acoustic phonons. The measurements were performed in the 2....{).4 mm wavelength range at temperatures between 10 and 1.4 OK. A number of singularities were observed in the temperature and frequency dependences of the cyclotron linewidth. These can be ascribed to the effect of inhomogeneous broadening due to nonparabolicity of the electron spectrum, which is renormalized as a result of interaction with acoustic phonons.
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