H. Overhof et P. Thomas, HOPPING TRANSPORT IN A MAGNETIC-FIELD - KADANOFF-BAYM-KELDYSH APPROACH AND MAGNETOCONDUCTIVITY - COMMENT ON, Physical review. B, Condensed matter, 53(19), 1996, pp. 13187-13189
In a recent paper [Phys. Rev. B 51, 14 020 (1995)] Bleibaum, Bottger,
Bryksin, and Schulz have reinvestigated the temperature dependence of
the variable range hopping conductance. Their finding that, according
to the effective-medium theory for hopping in d spatial dimensions, th
e de conductivity should follow sigma(T)=sigma(0)exp{-(T-0/T)(2/(d-2))
} is shown to be invalid, caused by an improper averaging of the site
energies. If properly averaged the conventional Mott law sigma(T)=sigm
a(0)exp{-(T-0/T)(1/(d+1))} is recovered. A scaling argument is given t
hat supports the latter result.