Phys. Rev. Lett. 80, 4257–4260 (1998)Random Dirac Fermions and Non-Hermitian Quantum MechanicsSee Also: Erratum Received 8 December 1997; published in the issue dated 11 May 1998 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 wave functions 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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.4257
DOI:
10.1103/PhysRevLett.80.4257
PACS:
72.15.Rn, 05.30.Fk, 05.40.+j
See AlsoErratum: Christopher Mudry, B. D. Simons, and Alexander Altland, Erratum: Random Dirac Fermions and Non-Hermitian Quantum Mechanics [Phys. Rev. Lett. 80, 4257 (1998)], Phys. Rev. Lett. 85, 3334 (2000). |
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