On the generalized dimensions of multifractal eigenstates

DOI10.1088/1742-5468/2014/11/P11012zbMath1456.81123arXiv1303.5665OpenAlexW2050808414MaRDI QIDQ3301795

Imre Varga, A. Alcazar-López, J. A. Méndez-Bermúdez

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/1303.5665

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52) Quantum state estimation, approximate cloning (81P50)

Related Items (1)

Multifractal dimensions and statistical properties of critical ensembles characterized by the three classical Wigner-Dyson symmetry classes

Cites Work

• Calculation of multi-fractal dimensions in spin chains
• Return probability and scaling exponents in the critical random matrix ensemble
• The Anderson localization transition with long-ranged hoppings: analysis of the strong multifractality regime in terms of weighted Lévy sums
• Chaos in Dynamical Systems
• Critical regime of two-dimensional Ando model: relation between critical conductance and fractal dimension of electronic eigenstates
• The Anderson localization transition and eigenfunction multifractality in an ensemble of ultrametric random matrices
• Level compressibility in a critical random matrix ensemble: the second virial coefficient
• Level compressibility in a critical random matrix ensemble: the second virial coefficient
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