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Anderson Transitions

book
Language:
Author: F. Evers, A.D. Mirlin
Url: http://arxiv.org/abs/0707.4378
Format: Ps,Pdf
Year: 2007
Category: Many body, Anderson Localization
Pages: 63
Clicks: 19

Description
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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