Random Dirac Fermions and Non-Hermitian Quantum Mechanics
- 11 May 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 80 (19) , 4257-4260
- https://doi.org/10.1103/physrevlett.80.4257
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 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.Keywords
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This publication has 30 references indexed in Scilit:
- Vortex pinning and non-Hermitian quantum mechanicsPhysical Review B, 1997
- Localization Transitions in Non-Hermitian Quantum MechanicsPhysical Review Letters, 1996
- Two-dimensional conformal field theory for disordered systems at criticalityNuclear Physics B, 1996
- On the random vector potential model in two dimensionsNuclear Physics B, 1995
- Disorder effects in two-dimensional Fermi systems with conical spectrum: exact results for the density of statesNuclear Physics B, 1995
- Integer quantum Hall transition: An alternative approach and exact resultsPhysical Review B, 1994
- Disorder effects in two-dimensionald-wave superconductorsPhysical Review Letters, 1994
- Percolation, statistical topography, and transport in random mediaReviews of Modern Physics, 1992
- Critical behavior of disordered degenerate semiconductors. I. Models, symmetries, and formalismPhysical Review B, 1986
- Localization in a magnetic field: Tight binding model with one-half of a flux quantum per plaquetteNuclear Physics B, 1985