Random Dirac Fermions and Non-Hermitian Quantum Mechanics
Disordered Systems and Neural Networks
2009-10-30 v2
Abstract
We study the influence of a strong imaginary vector potential on the quantum mechanics of particles confined to a two-dimensional plane and propagating in a random impurity potential. We show that the wavefunctions of the non-Hermitian operator can be obtained as the solution to a two-dimensional Dirac equation in the presence of a random gauge field. Consequences for the localization properties and the critical nature of the states are discussed.
Keywords
Cite
@article{arxiv.cond-mat/9712103,
title = {Random Dirac Fermions and Non-Hermitian Quantum Mechanics},
author = {Christopher Mudry and B. D. Simons and Alexander Altland},
journal= {arXiv preprint arXiv:cond-mat/9712103},
year = {2009}
}
Comments
5 pages, Latex, 1 figure, version published in PRL