Extended states with Poisson spectral statistics
Statistical Mechanics
2017-06-07 v1
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.
Cite
@article{arxiv.1701.02142,
title = {Extended states with Poisson spectral statistics},
author = {Triparna Mondal and Suchetana Sadhukhan and Pragya Shukla},
journal= {arXiv preprint arXiv:1701.02142},
year = {2017}
}
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