Renormalization-group study of Anderson localization
- 1 December 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 20 (11) , 4726-4729
- https://doi.org/10.1103/physrevb.20.4726
Abstract
A renormalization-group method is used to study localization of electrons in a random system. A position-space method yields a localization edge in three dimensions. In two dimensions our results indicate localization even for small randomness in agreement with Abrahams, Anderson, Licciardello, and Ramakrishnan; however we cannot rule out the existence of a localization edge.Keywords
This publication has 20 references indexed in Scilit:
- 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
- Conductivity and mobility edges in disordered systems. II. Further calculations for the square and diamond latticesJournal of Physics C: Solid State Physics, 1978
- The mobility edge as a spin-glass problemJournal of Physics C: Solid State Physics, 1977
- Electrons in disordered systems. Scaling near the mobility edgeZeitschrift für Physik B Condensed Matter, 1976
- Conductivity and mobility edges for two-dimensional disordered systemsJournal of Physics C: Solid State Physics, 1975
- Constancy of Minimum Metallic Conductivity in Two DimensionsPhysical Review Letters, 1975
- Electrons in disordered systems and the theory of localizationPhysics Reports, 1974
- Linked-Cluster Expansions for the Nuclear Many-Body ProblemReviews of Modern Physics, 1967
- Absence of Diffusion in Certain Random LatticesPhysical Review B, 1958