From Anderson localization on random regular graphs to many-body localization

The article reviews the physics of Anderson localization on random regular graphs (RRG) and its connections to many-body localization (MBL) in disordered interacting systems. Properties of eigenstate and energy level correlations in delocalized and localized phases, as well at criticality, are discu...

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Veröffentlicht in:	Annals of physics 2021-12, Vol.435, p.168525, Article 168525
Hauptverfasser:	Tikhonov, K.S., Mirlin, A.D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Anderson localization CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CORRELATION FUNCTIONS Critical behavior Eigenfunction statistics EIGENFUNCTIONS EIGENSTATES Energy level statistics ENERGY LEVELS Ergodicity FRACTALS Many-body localization MANY-BODY PROBLEM MATERIALS SCIENCE QUANTUM DOTS Random regular graph RANDOMNESS SPIN
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