From ergodic to non-ergodic chaos in Rosenzweig-Porter model
Disordered Systems and Neural Networks
2019-12-04 v2 Statistical Mechanics
Abstract
The Rosenzweig-Porter model is a one-parameter family of random matrices with three different phases: ergodic, extended non-ergodic and localized. We characterize numerically each of these phases and the transitions between them. We focus on several quantities that exhibit non-analytical behaviour and show that they obey the scaling hypothesis. Based on this, we argue that non-ergodic chaotic and ergodic regimes are separated by a continuous phase transition, similarly to the transition between non-ergodic chaotic and localized phases.
Keywords
Cite
@article{arxiv.1904.02716,
title = {From ergodic to non-ergodic chaos in Rosenzweig-Porter model},
author = {M. Pino and J. Tabanera and P. Serna},
journal= {arXiv preprint arXiv:1904.02716},
year = {2019}
}
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12 pages