Multifractality of eigenstates in the delocalized non-ergodic phase of some random matrix models: Wigner–Weisskopf approach

DOI10.1088/1751-8121/aa77e1zbMath1370.81239arXiv1609.01121OpenAlexW2549561164MaRDI QIDQ5348277

Cécile Monthus

Publication date: 15 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01121

zbMATH Keywords

random matrixmultifractalityLevy statistics

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Many-body theory; quantum Hall effect (81V70) Random matrices (algebraic aspects) (15B52) Fractals (28A80) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (6)

Random Cantor sets and mini-bands in local spectrum of quantum systems ⋮ Dynamical signatures of Chaos to integrability crossover in 2×2 generalized random matrix ensembles ⋮ Random transverse field spin-glass model on the Cayley tree: phase transition between the two many-body-localized phases ⋮ MULTIFRACTALITY IN THE GENERALIZED AUBRY–ANDRÉ QUASIPERIODIC LOCALIZATION MODEL WITH POWER-LAW HOPPINGS OR POWER-LAW FOURIER COEFFICIENTS ⋮ Anderson transition on the Bethe lattice: an approach with real energies ⋮ From ergodic to non-ergodic chaos in Rosenzweig–Porter model

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