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Multiple scattering theory for magnetoresistance of localized impurities in metals
Author(s) -
Mrosan E.,
Schober Ch.,
Lehmann G.
Publication year - 1978
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.2220860128
Subject(s) - boltzmann equation , magnetoresistance , scattering , impurity , condensed matter physics , degenerate energy levels , physics , boltzmann constant , electrical resistivity and conductivity , electron , magnetic field , quantum mechanics
It is shown that starting from a multiple scattering formalism for localized impurities in metals the linearized Boltzmann equation can be solved by the degenerate kernel technique. In this case the Boltzmann equation reduces to an algebraic set of linear equations of finite rank. An expression for the magneto‐resistance, valid for arbitrary strength of external magnetic fields is derived. In the limit of a nearly‐free‐electron‐like host band structure the well‐known results for magnetoresistance and impurity resistivity are reproduced.