Non-Hermitean Localization and De-Localization
摘要
We study localization and delocalization in a class of non-hermitean Hamiltonians inspired by the problem of vortex pinning in superconductors. In various simplified models we are able to obtain analytic descriptions, in particular of the non-perturbative emergence of a forked structure (the appearance of "wings") in the density of states. We calculate how the localization length diverges at the localization-delocalization transition. We map some versions of this problem onto a random walker problem in two dimensions. For a certain model, we find an intricate structure in its density of states.
引用
@article{arxiv.cond-mat/9706218,
title = {Non-Hermitean Localization and De-Localization},
author = {Joshua Feinberg and A. Zee},
journal= {arXiv preprint arXiv:cond-mat/9706218},
year = {2009}
}
备注
35 pages, 4 ps figures, Latex. The revisions made are: note added to Section 3, a new section added concerning continuum "one way" models, minor corrections made and comments added to section 6, references added and updated