Anderson Transitions

Details Anderson Transitions Anderson Transitions

2007-07-30

arxiv.org/abs/0707.4378v1

Rev. Mod. Phys. 80, 1355 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

63 pages, 39 figures, submitted to Rev. Mod. Phys

Scientific paper

10.1103/RevModPhys.80.1355

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.

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