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Anderson Transitions

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arxiv 0707.4378 v1 pith:UTQZHMQA submitted 2007-07-30 cond-mat.mes-hall cond-mat.dis-nn

F. Evers , A.D. Mirlin This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.dis-nn
keywords transitionsandersonsystemscriticalcriticalitydisorderedlocalizedphases
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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.

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Cited by 6 Pith papers

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  5. QCD Anderson transition with overlap valence quarks on a twisted-mass sea -- an update

    hep-lat 2025-02 conditional novelty 6.0 of 10

    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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