Numerical studies on the anderson localization problem |
| |
Authors: | J. Stein U. Krey |
| |
Affiliation: | (1) Fachbereich Physik, Institut für Physik III — Angewandte Physik, Universitätsstraße, 31 Postfach, D-8400 Regensburg, Germany |
| |
Abstract: | Our study of Anderson's tight binding model for strongly disordered electronic systems is extended to a numerical treatment of thed c-conductivity atT=0. For 100 × 100 square lattices, 129 × 129 triangular lattices, and for diamond lattices with 27,000 sites, the behaviour of is studied as a function of the Fermi energy and the disorder. The calculations are based on the exact eigenfunction representation of the Kubo formula, which is evaluated by the systematic application of recursion algorithms. Our results are in favour of Mott's original suggestion of a minimum metallic conductivitymin, both in two and three dimensions. In two dimensions we find the universal value ofmin=(0.11 ±0.02)e2/.Based on the thesis of J. Stein, Regensburg 1979 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|