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Anderson transitions: recent developments

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Mathematics and Physics of Anderson localization: 50 Years After

Recent developments in the physics of Anderson transitions between localized and metallic phases in disordered systems are reviewed [1]. 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. A particular emphasis is put on multifractality of critical wave functions. Also discussed are criticality in the power-law random banded matrix model, symmetry classification of disordered electronic systems, mechanisms of delocalization and criticality in low-dimensional systems, and random Dirac Hamiltonians.

This talk is part of the Isaac Newton Institute Seminar Series series.

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