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AC Conductivity Tensor of Disordered Systems in the Presence of a Magnetic Field
Author(s) -
Fishchuk I. I.,
Rudko V. N.
Publication year - 1980
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.2220990205
Subject(s) - condensed matter physics , conductivity , hamiltonian (control theory) , magnetic field , phonon , physics , tensor (intrinsic definition) , kubo formula , optical conductivity , quantum mechanics , mathematics , geometry , mathematical optimization
In the presence of magnetic field the anti‐symmetrical part (s̀ xy ) of the ac conductivity tensor in disordered systems with localized electronic states is calculated by the Kubo formula. The large range of not too low frequencies, where the phononεess contribution to the conductivity predominates the phonon‐assisted contribution, is investigated. In calculating s̀ xy (ω) the exact diagonalization of the used three‐site Hamiltonian is performed. In the same frequency range the symmetrical part (s̀ xx ) of the conductivity tensor is calculated in the two‐site approximation. The results obtained show that in the frequency region where Re s̀ xx (ω) has a maximum (the absorption band) the curve Re s̀ xy (ω) undergoes a twofold sign inversion.