RANDOM DIRAC FERMIONS AND NON-HERMITIAN QUANTUM-MECHANICS

Authors
MUDRY C SIMONS BD ALTLAND A
Citation
C. Mudry et al., RANDOM DIRAC FERMIONS AND NON-HERMITIAN QUANTUM-MECHANICS, Physical review letters, 80(19), 1998, pp. 4257-4260
Citations number
34
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
80
Issue
19
Year of publication
1998
Pages
4257 - 4260
Database
ISI
SICI code
0031-9007(1998)80:19<4257:RDFANQ>2.0.ZU;2-W
Abstract
We study the influence of a strong imaginary vector potential on the q uantum mechanics of particles confined to a two-dimensional plane and propagating in a random impurity potential. We show that the wave func tions of the non-Hermitian operator can be obtained as the solution to a two-dimensional Dirac equation in the presence of a random gauge fi eld. Consequences for the localization properties and the critical nat ure of the states are discussed.