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
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)