2004/02/01 by Macleans L. Ndawana, Rudolf A. Roemer, Michael Schreiber
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1209/epl/i2004-10267-5
published as Europhys. Lett. 68, 678-684 (2004) · submitted to Phys. Rev. Lett
arxiv created 2004/02/01 · arxiv updated 2009/12/01
We investigate the three-dimensional Anderson model of localization via a modified transfer-matrix method in the presence of scale-free diagonal disorder characterized by a disorder correlation function g(r) decaying asymptotically as r-α. We study the dependence of the localization-length exponent ν on the correlation-strength exponent α. % For fixed disorder W, there is a critical α\rm c, such that for α< α\rm c, ν=2/α and for α> α\rm c, ν remains that of the uncorrelated system in accordance with the extended Harris criterion. At the band center, ν is independent of α but equal to that of the uncorrelated system. The physical mechanisms leading to this different behavior are discussed.