Density of States near the Anderson Transition in a Space of Dimensionality d=4-epsilon

Details Density of States near the Anderson Transition in a Space of Dimensionality d=4-epsilon Density of States near the Anderson Transition in a Space of Dimensionality d=4-epsilon

1999-12-08

arxiv.org/abs/cond-mat/9912132v1

Zh.Eksp.Teor.Fiz. 111 (1997) 1896-1914

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, PDF

Scientific paper

Asymptotically exact results are obtained for the average Green function and the density of states in a Gaussian random potential for the space dimensionality d=4-epsilon over the entire energy range, including the vicinity of the mobility edge. For N\sim 1 (N is an order of the perturbation theory) only the parquet terms corresponding to the highest powers of 1/epsilon are retained. For large N all powers of 1/epsilon are taken into account with their coefficients calculated in the leading asymptotics in N. This calculation is performed by combining the condition of renormalizability of the theory with the Lipatov asymptotics.

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