Anderson localization on a simplex
Mathematical Physics
2013-02-25 v2 Disordered Systems and Neural Networks
math.MP
Abstract
We derive a field-theoretical representation for the moments of the eigenstates in the generalized Anderson model. The representation is exact and can be used for the Anderson model with generic non-random hopping elements in any dimensions. We apply this method to the simplex model, for which the hopping amplitude between any two lattice sites is the same, and find that the eigenstates are localized at any strength of disorder. Our analytical predictions are in excellent agreement with the results of numerical simulations.
Keywords
Cite
@article{arxiv.1211.2643,
title = {Anderson localization on a simplex},
author = {A. Ossipov},
journal= {arXiv preprint arXiv:1211.2643},
year = {2013}
}
Comments
18 pages