Random Dirac Fermions and Non-Hermitian Quantum Mechanics

Details Random Dirac Fermions and Non-Hermitian Quantum Mechanics Random Dirac Fermions and Non-Hermitian Quantum Mechanics

1997-12-09

arxiv.org/abs/cond-mat/9712103v2

Phys. Rev. Lett. 80, 4257 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, Latex, 1 figure, version published in PRL

Scientific paper

10.1103/PhysRevLett.80.4257

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.

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