Two-dimensional Non-Hermitian Delocalization Transition as a Probe for the Localization Length
Disordered Systems and Neural Networks
2017-10-23 v1 Mesoscale and Nanoscale Physics
Abstract
When one applies a type of non-Hermitian effect, constant imaginary vector potential, to disordered systems, delocalization is induced even in two or lower dimension. By using the non-Hermitian induced transition as a probe, We propose a new procedure of estimating localization in arbitrary-dimensional systems. By examining numerically the two-dimensional non-Hermitian tight-biding model with onsite disorder, it is shown that the failure of absorbing the non-Hermitian effect, namely the breakdown of the imaginary gauge transformation, characterize the inverse localization length near the band center.
Cite
@article{arxiv.cond-mat/0111394,
title = {Two-dimensional Non-Hermitian Delocalization Transition as a Probe for the Localization Length},
author = {Tsunenao Kuwae and Nobuhiko Taniguchi},
journal= {arXiv preprint arXiv:cond-mat/0111394},
year = {2017}
}
Comments
4 pages, 4 figs