Numerical study of localization of Dirac fermions on a lattice in two dimensions
- 1 August 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 48 (6), 4204-4207
- https://doi.org/10.1103/physrevb.48.4204
Abstract
We studied the effects of impurities on Dirac fermions numerically. We used a tight-binding Hamiltonian of fermions with the magentic flux equal to π per plaquette for the model. A small amount of strong impurities create states near the zero energy and strong localization of these states is observed. Our results support a recent proposal of localization effects in a gapless d-wave superconductor.Keywords
This publication has 17 references indexed in Scilit:
- Transitions between the quantum Hall states and insulators induced by periodic potentialsPhysical Review Letters, 1993
- Anomalously large gap anisotropy in the a-b plane ofPhysical Review Letters, 1993
- Low-energy incommensurate spin excitations in superconductingPhysical Review B, 1992
- Analysis of NMR data in the superconducting state ofPhysical Review Letters, 1992
- Anisotropy and magnetic field dependence of the planar copper NMR spin-lattice relaxation rate in the superconducting state ofPhysical Review Letters, 1992
- Temperature-dependent anisotropy of Cu(2) nuclear-relaxation rate in belowPhysical Review B, 1991
- Anomalous behavior of nuclear spin-lattice relaxation rates in belowPhysical Review Letters, 1991
- Energy spectrum and the quantum Hall effect on the square lattice with next-nearest-neighbor hoppingPhysical Review B, 1990
- Zero modes and the quantized Hall conductance of the two-dimensional lattice in a magnetic fieldPhysical Review B, 1989
- Winding number, family index theorem, and electron hopping in a magnetic fieldNuclear Physics B, 1989