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Electron–phonon relaxation mechanisms in thermo-emf and magnetothermo-emf of noncompensated polyvalent metals with a closed Fermi surface

V. I. II’evskiĭB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, 310164, KharkovA. I. KopeliovichB. I. Verkin Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, 310164, KharkovV. N. MorgunState University, 310077, KharkovN. N. ChebotaevState University, 310077, Kharkov
Low Temperature Physicsjournal1993en
ABI

Abstract

The theory of thermo-emf in noncompensated polyvalent metals with a closed Fermi surface described by a weak pseudopotential is constructed under the conditions of predominance of small-angle electron–phonon scattering. The electron drag by phonons and the Umklapp processes are considered in detail. A qualitative explanation is offered for the experimentally observed significant difference in the thermo-emf in Al and In for H = 0. It is shown that the thermo-emf tensor Ŝ in a magnetic field H is determined by the competition between the two contributions ŜC and ŜU. The first of these contributions is associated with thermal diffusion and electron drag by a phonon wind in N-processes, and is calculated in terms of the electron and phonon heat capacities of the crystal. The second contribution is expressed in terms of the tensor components of resistance in a magnetic field and is associated with the electron drag by a phonon wind in U-processes.

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