2007/07/30 by F. Evers, A. D. Mirlin · 10 citations
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.dis-nn
paper · pdf · doi:10.1103/revmodphys.80.1355
published as Rev. Mod. Phys. 80, 1355 (2008) · 63 pages, 39 figures, submitted to Rev. Mod. Phys
arxiv created 2007/07/30 · arxiv updated 2009/12/01
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.