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Notes on the Influence of Spin on the Electrical Conductivity in Strong Magnetic Fields
Author(s) -
Keiter H.,
Hajdu J.
Publication year - 1970
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.19700380225
Subject(s) - condensed matter physics , conductivity , spin (aerodynamics) , scattering , transverse plane , spin flip , electron , magnetic field , physics , electrical resistivity and conductivity , quantum mechanics , thermodynamics , structural engineering , engineering
The longitudinal and transverse electrical conductivity for a system of free electrons interacting with short‐range impurities is calculated. Since in the lowest order Born approximation the transverse conductivity diverges, and the longitudinal conductivity shows unphysical zeroes for certain values of the magnetic field, higher order t‐matrix treatment is required. We obtain spin splitting of the Shubnikov‐de Haas oscillations for spin independent and spin dependent scattering. Compared with the transverse case, the first (0 + ) maximum is absent in the longitudinal case, provided that no spin flip occurs. Spin flip in the scattering process, however, gives rise to a 0 + maximum. Apart from this fact, the spin flip causes no remarkable change in the oscillatory behaviour of the conductivity.