Criticality in Brownian ensembles

Abstract

The local statistical fluctuations in Brownian ensembles, the intermediate state of perturbation of one classical ensemble by another one, are system-size invariant if the perturbation parameter has the same size-dependence as that of the ensemble averaged local level density. The sensitivity to local spectral density however makes the measures for the critical statistics non-stationary along the spectrum.

33 Pages, 5 figures

References in corpus (4)

• Anderson Transitions
• Anomalous Thouless energy and critical statistics on the metallic side of the many-body localization transition
• Towards a common thread in Complexity: an accuracy-based approach
• Optimisation of multifractal analysis using box-size scaling

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• Dynamical polarization, optical conductivity and plasmon mode of a linear triple component fermionic system
• Eigenfunction statistics of Laguerre Brownian ensemble
• Spectral statistics of multi-parametric Gaussian ensembles with chiral symmetry
• Statistical analysis of chiral structured ensembles: role of matrix constraints
• Impurity Screening and Friedel Oscillations in Floquet-driven Two-dimensional Metals
• Spectral and Strength Statistics of Chiral Brownian Ensemble