Anderson Transitions
Abstract
The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term ``Anderson transition'' is understood in a broad sense, including both metal-insulator transitions and quantum-Hall-type transitions between phases with localized states. The emphasis is put on recent developments, which include: multifractality of critical wave functions, criticality in the power-law random banded matrix model, symmetry classification of disordered electronic systems, mechanisms of criticality in quasi-one-dimensional and two-dimensional systems and survey of corresponding critical theories, network models, and random Dirac Hamiltonians. Analytical approaches are complemented by advanced numerical simulations.
Cite
@article{arxiv.0707.4378,
title = {Anderson Transitions},
author = {F. Evers and A. D. Mirlin},
journal= {arXiv preprint arXiv:0707.4378},
year = {2008}
}
Comments
63 pages, 39 figures, submitted to Rev. Mod. Phys