Delocalization of 2D Dirac Fermions: The Role of a Broken Supersymmetry
- 6 April 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 80 (14), 3113-3116
- https://doi.org/10.1103/physrevlett.80.3113
Abstract
The mechanism of delocalization of two-dimensional Dirac fermions with random mass is investigated, using a superfield representation. Although localization effects are very strong, one fermion component can delocalize due to the spontaneous breaking of a special supersymmetry of the model. The delocalized fermion has a nonsingular density of states and is described by a diffusion propagator. Supersymmetry is restored if the mean of the random mass is sufficiently large. This is accompanied by a critical boson component.Keywords
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This publication has 25 references indexed in Scilit:
- Production of by chemical reaction of in excited states with gasPhysical Review A, 1997
- Models for the integer quantum Hall effect: The network model, the Dirac equation, and a tight-binding HamiltonianPhysical Review B, 1996
- Quantized Hall conductivity of Bloch electrons: Topology and the Dirac fermionPhysical Review B, 1994
- Integer Quantum Hall Effect for Lattice FermionsEurophysics Letters, 1994
- Integer quantum Hall transition: An alternative approach and exact resultsPhysical Review B, 1994
- Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"Physical Review Letters, 1988
- 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
- Disordered system withn orbitals per site: Lagrange formulation, hyperbolic symmetry, and goldstone modesZeitschrift für Physik B Condensed Matter, 1980
- Scaling Theory of Localization: Absence of Quantum Diffusion in Two DimensionsPhysical Review Letters, 1979