Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics
Condensed Matter
2015-06-25 v1
Abstract
A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential is a random telegraph process is solved exactly. Both the localization length and the density of states are obtained analytically. A detailed study of the low energy behaviour is presented. Analytical and numerical results are presented in the case where the intervals over which is kept constant are distributed according to a broad distribution. Various applications of this model are considered.
Cite
@article{arxiv.cond-mat/9501095,
title = {Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics},
author = {A. Comtet and J. Desbois and C. Monthus},
journal= {arXiv preprint arXiv:cond-mat/9501095},
year = {2015}
}
Comments
43 pages, plain TEX, 8 figures not included, available upon request from the Authors.