Hatano-Nelson model with a periodic potential
Statistical Mechanics
2011-04-07 v1
Abstract
We study a generalisation of the Hatano-Nelson Hamiltonian in which a periodic modulation of the site energies is present in addition to the usual random distribution. The system can then become localized by disorder or develop a band gap, and the eigenspectrum shows a wide variety of topologies. We determine the phase diagram, and perform a finite size scaling analysis of the localization transition.
Cite
@article{arxiv.1009.1946,
title = {Hatano-Nelson model with a periodic potential},
author = {F. Hébert and M. Schram and R. T. Scalettar and W. B. Chen and Z. Bai},
journal= {arXiv preprint arXiv:1009.1946},
year = {2011}
}
Comments
7 pages, 10 figures