One-Dimensional Quasicrystals with Power-Law Hopping

verfasst von: 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.
Organisationseinheit(en): Institut für Theoretische Physik
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)
Externe Organisation(en): Indian Institute of Science Education and Research Kolkata
Universite Paris-Sud
Universität Paris-Saclay
National University of Science and Technology MISIS
Universiteit van Amsterdam (UvA)
Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences
Typ: Artikel
Journal: Physical Review Letters
Band: 123
ISSN: 0031-9007
Publikationsdatum: 12.07.2019
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Physik und Astronomie (insg.)
Elektronische Version(en): https://doi.org/10.48550/arXiv.1808.03585 (Zugang: Offen)
https://doi.org/10.1103/PhysRevLett.123.025301 (Zugang: Geschlossen)

BibTeX

@article{249b6182cba04712a200a0c4b02258cb,
title = "One-Dimensional Quasicrystals with Power-Law Hopping",
abstract = "One-dimensional quasiperiodic systems with power-law hopping, 1/ra, differ from both the standard Aubry-Andr{\'e} (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.",
author = "X. Deng and S. Ray and S. Sinha and Shlyapnikov, {G. V.} and Luis Santos",
year = "2019",
month = jul,
day = "12",
doi = "10.48550/arXiv.1808.03585",
language = "English",
volume = "123",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "2",
}