Localization transitions in non-Hermitian quantum mechanics
Condensed Matter
2016-08-31 v1
Abstract
We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schr\"odinger equation are subjected to a constant imaginary vector potential. A path-integral formulation relates the transition to flux lines depinned from columnar defects by a transverse magnetic field in superconductors. The theory predicts that the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth at the transition.
Cite
@article{arxiv.cond-mat/9603165,
title = {Localization transitions in non-Hermitian quantum mechanics},
author = {Naomichi Hatano and David R. Nelson},
journal= {arXiv preprint arXiv:cond-mat/9603165},
year = {2016}
}
Comments
4 pages (latex) with 3 figures (epsf) embedded in the text using the style file epsf.sty