One-Dimensional Quasicrystals with Power-Law Hopping
- authored by
- X. Deng, S. Ray, S. Sinha, G. V. Shlyapnikov, Luis Santos
- Abstract
One-dimensional quasiperiodic systems with power-law hopping, 1/ra, differ from both the standard Aubry-André (AA) model and from power-law systems with uncorrelated disorder. Whereas in the AA model all single-particle states undergo a transition from ergodic to localized at a critical quasidisorder strength, short-range power-law hops with a>1 can result in mobility edges. We find that there is no localization for long-range hops with a≤1, in contrast to the case of uncorrelated disorder. Systems with long-range hops rather present ergodic-to-multifractal edges and a phase transition from ergodic to multifractal (extended but nonergodic) states. Both mobility and ergodic-to-multifractal edges may be clearly revealed in experiments on expansion dynamics.
- Organisation(s)
-
Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
- External Organisation(s)
-
Indian Institute of Science Education and Research Kolkata
Universite Paris-Sud XI
Université Paris-Saclay
National University of Science and Technology MISIS
University of Amsterdam
Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences
- Type
- Article
- Journal
- Physical Review Letters
- Volume
- 123
- ISSN
- 0031-9007
- Publication date
- 12.07.2019
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Physics and Astronomy(all)
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1808.03585 (Access:
Open)
https://doi.org/10.1103/PhysRevLett.123.025301 (Access: Closed)