Year: 1996
Type: article
Abstract: The statistics of energy levels for a disordered conductor are considered in the critical energy window near the mobility edge. It is shown that, if the critical wave functions are multifractal, the one-dimensional gas of levels on the energy axis is compressible , in the sense that the variance of the level number in an interval is 〈 (δ N ) 2 〉∼χ〈 N 〉 for 〈 N 〉≫1. The compressibility, χ=η/2 d , is given exactly in terms of the multifractal exponent η = d − D 2 at the mobility edge in a d -dimensional system.
DOI: 10.1134/1.567208
Authors: J. T. Chalker, V. E. Kravtsov, I. V. Lerner
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2073644938