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Phonon‐induced self‐energy and mass enhancement of electrons in metals
Author(s) -
Teichler H
Publication year - 1971
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220480118
Subject(s) - fermi surface , effective mass (spring–mass system) , condensed matter physics , electron , reciprocal lattice , fermi energy , phonon , physics , anisotropy , fermi gamma ray space telescope , quantum mechanics , diffraction
The phonon‐induced energy correction of electrons in metals and the resulting change of the effective mass are formulated by means of localized functions (i.e. generalized Wan‐nier functions). This formulation makes it possible to take into account, in a simple way, the experimentally observed anisotropies of the Fermi surface and the Fermi velocity. The periodicity of reciprocal space is preserved, thus all “Umklapp” processes are included. As an application of this formulation the κ‐dependent mass enhancement parameter λ(κ) is evaluated for Cu. λ(κ) varies from 0.086 (in 〈100〉 direction) up to 0.185 (at the neck of the Fermi surface); the average is found to be 0.15.