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Effect of Current Carrier Scattering on the Complex Dielectric Tensor
Author(s) -
Zyryanov P. S.,
Okulov V. I.
Publication year - 1967
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.19670210106
Subject(s) - diamagnetism , condensed matter physics , scattering , physics , tensor (intrinsic definition) , conductivity , carrier scattering , dielectric , quantum electrodynamics , magnetic field , charge carrier , quantum mechanics , mathematics , pure mathematics
A general expression is derived for the scattering‐dependent complex conductivity tensor σ α β (ω, q ). The density matrix satisfying the local charge and energy conservation laws in the presence of an electromagnetic field, is calculated in a linear approximation with respect to the carrier‐field interaction. It is shown that the conductivity tensor involves the term Δσ αβ which vanishes if either the spatial dispersion or the scattering is not considered. In a high non‐uniform magnetic field at low frequencies the term gives rise to the conductivity current. If the orbital quantization is essential Δσ αβ causes the diamagnetic susceptibility to become frequency‐dependent.