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Localized non‐magnetic impurities in metals: I. General theory
Author(s) -
Mrosan E.,
Lehmann G.
Publication year - 1976
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.2220770222
Subject(s) - scattering , condensed matter physics , physics , impurity , boltzmann equation , degenerate energy levels , quantum mechanics
A general formalism is developed for localized non‐magnetic impurities in metals. In the limit of cubic symmetry and for non‐zero scattering phase shifts for l ≦ 2, it is shown, that the T ‐matrix, describing the scattering properties of the impurity, is diagonal and contains all effects coming from multiple scattering and from the anisotropic band structure of the host, given only by four coefficients of the Green function of the pure host. For localized impurities the Boltzmann equation has a degenerate kernel and can be transformed in an inhomogeneous algebraic set of linear equations of finite rank. The impurity potential is calculated in the muffin‐tin approximation. Screening and recharging effects are described by a constant potential shift chosen in such a way that a Friedel sum rule for the scattering phase shifts is fulfilled.