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.
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Yoshimasa Isawa (1984) studied this question.