Random Cantor sets and mini-bands in local spectrum of quantum systems

DOI10.1016/J.AOP.2023.169300arXiv2301.12279OpenAlexW4361204454MaRDI QIDQ6074307

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Publication date: 12 October 2023

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

Full work available at URL: https://arxiv.org/abs/2301.12279

zbMATH Keywords

Cantor setsingular-continuous spectrummini-bandsmultifractality of wave functionsnon-ergodic extended states

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Generalized devil's staircase and RG flows

Cites Work

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• From Anderson localization on random regular graphs to many-body localization
• Statistical properties of the Green function in finite size for Anderson localization models with multifractal eigenvectors
• Multifractality of eigenstates in the delocalized non-ergodic phase of some random matrix models: Wigner–Weisskopf approach

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