Anderson transitions
Jul 30, 2007
62 pages
Published in:
- Rev.Mod.Phys. 80 (2008) 1355-1417
e-Print:
- 0707.4378 [cond-mat.mes-hall]
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Abstract: (APS)
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.Note:
- 63 pages, 39 figures, submitted to Rev. Mod. Phys
- 73.20.Fz
- 72.15.Rn
- 73.43.-f
- 71.30.+h
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