Random Dirac Fermions and Non-Hermitian Quantum Mechanics

Preprint

6 May 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9712103

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

POTENTIAL ON THE QUANTUM
HERMITIAN QUANTUM
QUANTUM MECHANICS
DIRAC FERMIONS
DIRAC EQUATION
RANDOM GAUGE
RANDOM DIRAC
FERMIONS

All Related Versions

Version 1, 1997-12-10, ArXiv
Version 2, 1998-05-06, ArXiv
Published version: Physical Review Letters, 80 (19), 4257.

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