Mathematical Aspects of Anderson Localization
Abstract
This article discusses mathematical results and conjectures motivated by Anderson localization and by related problems for deterministic and nonlinear systems. Finite volume criteria for Anderson localization are explained for random potentials. Recent results on a phase transition for a hyperbolic, supersymmetric sigma model on a 3D lattice are also presented. This transition is analogous to the Anderson transition.
- Publication:
-
International Journal of Modern Physics B
- Pub Date:
- 2010
- DOI:
- 10.1142/S0217979210064538
- Bibcode:
- 2010IJMPB..24.1621S