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Anderson Transitions
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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.
Forward citations
Cited by 4 Pith papers
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Dirac mode localization in QCD near the crossover temperature
Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.
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Quantum criticality at strong randomness: a lesson from anomaly
Anomaly constraints imply power-law decay of specific Edwards–Anderson and first-moment correlators in disordered quantum critical systems with average symmetries.
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Crystalline Spectral Form Factors
Strong level repulsion produces damped crystalline oscillations of the spectral form factor, with a Debye-Waller suppression, a new plateau time scale t* ≈ t_H sqrt(β/4), and predictable derivative singularities.
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QCD Anderson transition with overlap valence quarks on a twisted-mass sea -- an update
New lattice data show the quark mobility edge in QCD stays near 86-88 MeV at temperatures close to the chiral transition, instead of vanishing as previously extrapolated.
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