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Theory of the Phononless High Frequency Hall Effect in Disordered Systems
Author(s) -
Fishchuk I. I.,
Rudko V. N.
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.2220890107
Subject(s) - kubo formula , diagonal , tensor (intrinsic definition) , dipole , hall effect , condensed matter physics , conductivity , momentum (technical analysis) , physics , operator (biology) , frequency dependence , electron , electrical resistivity and conductivity , hall conductivity , quantum mechanics , mathematics , chemistry , nuclear magnetic resonance , geometry , transcription factor , biochemistry , finance , repressor , economics , gene
The anti‐symmetrical phononless high frequency part of the conductivity tensor of disordered systems which determines the Hall effect in the low temperature region is calculated by Kubo formula. A general expression which takes into account the contribution to conductivity of both the diagonal and non‐diagonal (with respect to the site index) components of the dipole momentum operator of the electron is obtained. The frequency dependence of the anti‐symmetrical part of the phononless conductivity tensor is investigated for a particular form of the density curve of continuous distribution of electron levels of the atoms in the system. The calculations show that the relation between the noted contributions strongly influences the frequency dependence of the Hall effect.