An exact-diagonalization study of rare events in disordered conductors
Disordered Systems and Neural Networks
2015-06-24 v1
Abstract
We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, two- and quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of the distribution of wave-function amplitudes are described by the non-linear sigma-model. In two dimensions, the tails of the distribution function are consistent with a recent prediction based on a direct optimal fluctuation method.
Keywords
Cite
@article{arxiv.cond-mat/0005380,
title = {An exact-diagonalization study of rare events in disordered conductors},
author = {V. Uski and B. Mehlig and R. A. Römer and M. Schreiber},
journal= {arXiv preprint arXiv:cond-mat/0005380},
year = {2015}
}
Comments
13 pages, 5 figures