Localization of electrons with spin-orbit or magnetic interactions in a two-dimensional disordered crystal
- 1 January 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 33 (1), 641-644
- https://doi.org/10.1103/physrevb.33.641
Abstract
We show rigorously that a two-dimensional electron in a disordered crystal with spin-orbit interactions or in a magnetic field has exponentially localized states with a dense set of eigenvalues either if the diagonal disorder is large compared to the strength of the spin-orbit coupling or of the magnetic field, or if the energy is near the band edge.Keywords
This publication has 10 references indexed in Scilit:
- The conductivity of a two-dimensional electronic system of finite width in the presence of a strong perpendicular magnetic field and a random potentialZeitschrift für Physik B Condensed Matter, 1985
- Magnetic field and electron states in two-dimensional disordered systemsJournal of Physics C: Solid State Physics, 1984
- Weak localization in thin filmsPhysics Reports, 1984
- Algebraic derivation of symmetry relations for disordered electronic systemsZeitschrift für Physik B Condensed Matter, 1983
- Supersymmetry and theory of disordered metalsAdvances in Physics, 1983
- Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potentialPhysical Review B, 1982
- Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random SystemProgress of Theoretical Physics, 1980
- The mobility edge problem: Continuous symmetry and a conjectureZeitschrift für Physik B Condensed Matter, 1979
- Scaling Theory of Localization: Absence of Quantum Diffusion in Two DimensionsPhysical Review Letters, 1979
- Electron localisation in disordered systems and classical solutions in Ginzburg-Landau field theoryJournal of Physics C: Solid State Physics, 1978