Density of States of an Electron in a Gaussian Random Potential for (4-epsilon)-dimensional Space

Details Density of States of an Electron in a Gaussian Random Potential for (4-epsilon)-dimensional Space Density of States of an Electron in a Gaussian Random Potential for (4-epsilon)-dimensional Space

1997-03-03

arxiv.org/abs/cond-mat/9703032v1

Pis'ma Zh.Exp.Teor.Fiz. 63 (1996) 855

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, Revtex

Scientific paper

The density of states for the Schroedinger equation with a Gaussian random potential is calculated in a space of dimension d=4-epsilon in the entire energy range including the vicinity of a mobility edge. Leading terms in 1/epsilon are taken into account for N \sim 1 (N is an order of perturbation theory) while all powers of 1/epsilon are essential for N>>1 with calculation of the expansion coefficients in the leading order in N.

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