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

DOI10.1016/j.aop.2021.168525zbMath1486.82018arXiv2102.05930OpenAlexW3167692981MaRDI QIDQ2063564

Konstantin S. Tikhonov, Alexander D. Mirlin

Publication date: 11 January 2022

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05930

zbMATH Keywords

ergodicitycritical behaviorAnderson localizationmany-body localizationrandom regular grapheigenfunction statisticsenergy level statistics

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Many-body theory; quantum Hall effect (81V70)

Related Items (4)

Random Cantor sets and mini-bands in local spectrum of quantum systems ⋮ A flow in the forest ⋮ Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime ⋮ Editorial. Special issue ``Localisation 2020: editorial summary

Cites Work

• Integrals of motion in the many-body localized phase
• Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
• Universality of level correlation function of sparse random matrices
• Random walk on the Bethe lattice and hyperbolic Brownian motion
• Phase transition in a model with non-compact symmetry on Bethe lattice and the replica limit
• Spectral diffusion and scaling of many‐body delocalization transitions

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