Localization transition in random Lévy matrices: multifractality of eigenvectors in the localized phase and at criticality

DOI10.1088/1742-5468/2016/09/093304zbMath1457.82183arXiv1606.03241OpenAlexW2416320083MaRDI QIDQ3302825

Cécile Monthus

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03241

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (7)

Multifractality of eigenstates in the delocalized non-ergodic phase of some random matrix models: Wigner–Weisskopf approach ⋮ Unnamed Item ⋮ Statistical properties of the Green function in finite size for Anderson localization models with multifractal eigenvectors ⋮ Eigenvector statistics of Lévy matrices ⋮ MULTIFRACTALITY IN THE GENERALIZED AUBRY–ANDRÉ QUASIPERIODIC LOCALIZATION MODEL WITH POWER-LAW HOPPINGS OR POWER-LAW FOURIER COEFFICIENTS ⋮ Spectrum of heavy-tailed elliptic random matrices ⋮ Revisiting the Ruelle thermodynamic formalism for Markov trajectories with application to the glassy phase of random trap models

Cites Work

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• Critical Hamiltonians with long range hopping
• On the top eigenvalue of heavy-tailed random matrices
• Level Statistics and Localization Transitions of Lévy Matrices
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• Extreme value problems in random matrix theory and other disordered systems
• A supersymmetry approach to almost diagonal random matrices
• Supersymmetric virial expansion for time-reversal invariant disordered systems

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