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arXiv · cond-mat/9712103

Random Dirac Fermions and Non-Hermitian Quantum Mechanics

Christopher Mudry·B. D. Simons·Alexander Altland
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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.

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Christopher Mudry, B. D. Simons, Alexander Altland. 1998-05-05. Random Dirac Fermions and Non-Hermitian Quantum Mechanics. https://doi.org/10.1103/physrevlett.80.4257

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