H. Bottger et al., FREQUENCY-DEPENDENCE OF THE HOPPING MAGNETOCONDUCTIVITY IN DISORDERED-SYSTEMS, Physical review. B, Condensed matter, 52(23), 1995, pp. 16305-16308
We examine the frequency dependence of the hopping conductivity and ma
gnetoconductivity (MC) in the framework of the effective-medium method
. The calculation of the MC requires the inclusion of at least three-s
ite hopping probabilities, which makes the studies considerably more d
ifficult than those for H = 0. As a result, we find a simple relation
between the ratio of the MC for omega not equal 0 to the static MC and
the conductivity for H = 0. The ratio between the MC for omega not eq
ual 0 and omega = 0 is independent of the magnetic field at low and me
dium frequencies, where the critical hopping length does not considera
bly deviate from its static value. Numerical calculations are performe
d, which confirm the analytical results.