The Cut-Off Dependence of Magnetoconductivity Due to Localization in 3-Dimensional Systems

Abstract

The results of numerical calculation for magnetoconductivity due to localization in 3-dimensional systems in weakly localized regime are given by taking into account the finiteness of cut-off parameters; z-component of momentum and the quantum number for orbital splitting.
We find that the finiteness of cut-off parameters makes decrease the magnetoconductivity compared to Kawabata’s results which are obtained on the assumption of cut-off parameters being infinite. The amount of decrease in magnetoconductivity increases as the magnetic field is increased. A saturation of magnetoconductivity due to localization will be observed as a function of field.