Correlations of Eigenfunctions in Disordered Systems

Дата и время публикации : 1996-04-22T18:17:38Z

Авторы публикации и институты :
Ya. M. Blanter
A. D. Mirlin

Ссылка на журнал-издание: Phys. Rev. E 55, 6514 (1997)
Коментарии к cтатье: Revised and extended version; some errors are corrected. 4 pages
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: Correlations of eigenfunctions, $langle|psi_k(r_1)|^2|psi_l(r_2)|^2rangle$, in a disordered system are investigated. We derive general formulae expressing these correlation functions in terms of the supermatrix sigma-model. In particular case of weak localization regime we find that the correlations of the same eigenfunction are proportional to $g^{-1}$ for large distances, while the correlations of two different eigenfunctions cross over from $g^{-1}$ behavior for $r_1=r_2$ to $g^{-2}$ one for $vert r_1 – r_2 vert gg l$, with $g$ and $l$ being the dimensionless conductance and the mean free path, respectively.

Category: Physics