Field Theory for the Global Density of States Distribution Function in Disordered Conductors

Details Field Theory for the Global Density of States Distribution Function in Disordered Conductors Field Theory for the Global Density of States Distribution Function in Disordered Conductors

2004-10-18

arxiv.org/abs/cond-mat/0410439v1

Phys. Rev. Lett., v. 94, 156601 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.94.156601

A field-theoretical representation is suggested for the electron global density of states distribution function P(\nu) in extended disordered conductors. This opens a way to study the complete statistics of fluctuations. The approach is based on a functional integration over bi-local functions \Psi(r_1, r_2) instead of the integration over local functions in the usual functional representation for moments of physical quantities. The formalism allows one to perform the disorder averaging and to derive an analog of the usual nonlinear sigma-model - a "slow" functional of a supermatrix field Q(r; r_1, r_2) \sim \Psi(r, r_1) \circ \bar{\Psi}(r_2, r). As an application of the formalism, the long-tail asymptotics of P(\nu) is derived.

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