Numerical studies on the anderson localization problem |
| |
Authors: | J. Stein U. Krey |
| |
Affiliation: | (1) Fachbereich Physik, Universität Regensburg, Universitätsstrasse 31, D-8400 Regensburg, Federal Republic of Germany |
| |
Abstract: | The electron localization is studied for Anderson's tight-binding model with diagonal and off-diagonal disorder for a very large square lattice (10,000 sites) and diamond lattice (27,000 sites). The numerical investigations are based on the Lanczos recursion method. The convergence of the recursion coefficientsan,bn is discussed with regard to the electron localization.From Anderson's criterion and an exact real space renormalization method the energy of the localization edge is found as a function of the degree of disorder. Also the dependence of the spatial decay rate of localized wave functions on the energy and the degree of disorder is evaluated. Near the Anderson transition, where all states become localized, we get two critical exponentsvE andvW, which lead us to the tentative suggestion of multicritical scaling laws for this transition. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|