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On the Theory of Longitudinal Magnetoresistance of Metallic Films and Wires
Author(s) -
Kogan E. M.,
Ustinov V. V.
Publication year - 1982
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.2221100128
Subject(s) - condensed matter physics , magnetoresistance , thermal conduction , dispersion relation , electron , scattering , magnetic field , boundary value problem , distribution function , boundary (topology) , dispersion (optics) , physics , materials science , quantum mechanics , mathematical analysis , mathematics
The quasiclassical kinetic equation for the conduction electrons distribution function and boundary conditions for this equation are written in “action‐angle” variables. It allows to obtain a relation between the boundary condition parameters and the quantum surface collision integral for conduction electrons with an arbitrary dispersion law. The use of the “action‐angle” variables is found to be very convenient for the conductivity calculation in films and wires in a longitudinal magnetic field. With their help general formulas for the longitudinal magnetoresistance both of films and wires with an arbitrary conduction electron dispersion law and an arbitrary surface scattering are obtained.