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Title: | From ergodic to non-ergodic chaos in Rosenzweig-Porter model |
Authors: | Pino, Manuel; Tabanera, J.; Serna, P. |
Issue Date: | 22-Nov-2019 |
Publisher: | Institute of Physics Publishing |
Citation: | Journal of Physics A: Mathematical and Theoretical 52: 47 (2019) |
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. |
Description: | 14 pags., 5 figs., |
Publisher version (URL): | http://dx.doi.org/10.1088/1751-8121/ab4b76 |
URI: | http://hdl.handle.net/10261/207813 |
DOI: | 10.1088/1751-8121/ab4b76 |
Identifiers: | doi: 10.1088/1751-8121/ab4b76 issn: 1751-8121 |
Appears in Collections: | (CFMAC-IFF) Artículos |
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