Abstract
The localization of electrons in random lattice is investigated with the Green's function method following Anderson's probabilistic approach. The energy dependence of the critical value ( W /2 V ) c for localization is obtained for a system with a potential fluctuation of width W and a short range type effective transfer energy V . The calculated results suggest that localized states appear preferably in the edges of the energy spectrum, and, with the increase in the ratio W / V , the regions of lacalized states spread toward the central region and finally cover the whole spectrum. Further, in a one-electron scheme, the effect of electron correlations on the localization of electrons is studied as a source of dynamical potential fluctuation. It is shown that electron correlations are quite effective for the electron localization, especially when correlation energy U exceeds static fluctuation width W .
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