Extended states with Poisson spectral statistics

Abstract

Contrary to prevailing notion we find that the spectrum associated with the extended states in a complex system may belong to the Poisson universality class if the system is subjected to a specific set of constraints. Our results are based on an exact theoretical as well as numerical analysis of column constrained chiral ensembles with circulant off-diagonal blocks and are relevant for a complete understanding of the eigenfunction localization and related physical properties.

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References in corpus (3)

• A random matrix model with localization and ergodic transitions
• Long range disorder and Anderson transition in systems with chiral symmetry
• Random matrix ensembles with column/row constraints. II

Cited by in corpus (5)

• Disorder perturbed Flat Bands II: a search for criticality
• Statistical analysis of chiral structured ensembles: role of matrix constraints
• Spectral and Strength Statistics of Chiral Brownian Ensemble
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Circulant $L$-ensembles in the thermodynamic limit