Sarkar, Madhumita;
Ghosh, Roopayan;
Khaymovich, Ivan M;
(2023)
Tuning the phase diagram of a Rosenzweig-Porter model with fractal disorder.
Physical Review B
, 108
(6)
, Article L060203. 10.1103/physrevb.108.l060203.
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Abstract
The Rosenzweig-Porter (RP) model has garnered much attention in the last decade, as it is a simple analytically tractable model showing both ergodic-nonergodic extended and Anderson localization transitions. Thus, it is a good toy model to understand the Hilbert-space structure of many-body localization phenomenon. In our Letter, we present analytical evidence, supported by exact numerics, that demonstrates the controllable tuning of the phase diagram in the RP model by employing on-site potentials with a nontrivial fractal dimension instead of the conventional random disorder. We demonstrate that such disorder extends the fractal phase and creates an unusual dependence of fractal dimensions of the eigenfunctions. Furthermore, we study the fate of level statistics in such a system to understand how these changes are reflected in the eigenvalue statistics.
Type: | Article |
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Title: | Tuning the phase diagram of a Rosenzweig-Porter model with fractal disorder |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1103/physrevb.108.l060203 |
Publisher version: | https://doi.org/10.1103/PhysRevB.108.L060203 |
Language: | English |
Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
URI: | https://discovery.ucl.ac.uk/id/eprint/10177006 |
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