Abstract
The anti-symmetrical part of the phonolless conductivity tensor of disordered systems which determines the Faraday effect in the low temperature region has been calculated by Kubo formula. 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 has been taken into account. The frequency dependence of the Faraday effect has been investigated and it has been shown that the relation between the noted contributions strongly influences the frequency dependence and the signs of the Faraday rotation angle and Faraday ellipticity.
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