One-Dimensional Quasicrystals with Power-Law Hopping

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • X. Deng
  • S. Ray
  • S. Sinha
  • G. V. Shlyapnikov
  • Luis Santos

Organisationseinheiten

Externe Organisationen

  • Indian Institute of Science Education and Research Kolkata
  • Université Paris XI
  • Universität Paris-Saclay
  • National University of Science and Technology MISIS
  • Universiteit van Amsterdam (UvA)
  • Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences
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Details

OriginalspracheEnglisch
Aufsatznummer025301
FachzeitschriftPhysical Review Letters
Jahrgang123
Ausgabenummer2
Frühes Online-Datum10 Juli 2019
PublikationsstatusVeröffentlicht - 12 Juli 2019

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.

ASJC Scopus Sachgebiete

Zitieren

One-Dimensional Quasicrystals with Power-Law Hopping. / Deng, X.; Ray, S.; Sinha, S. et al.
in: Physical Review Letters, Jahrgang 123, Nr. 2, 025301, 12.07.2019.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Deng X, Ray S, Sinha S, Shlyapnikov GV, Santos L. One-Dimensional Quasicrystals with Power-Law Hopping. Physical Review Letters. 2019 Jul 12;123(2):025301. Epub 2019 Jul 10. doi: 10.48550/arXiv.1808.03585, 10.1103/PhysRevLett.123.025301
Deng, X. ; Ray, S. ; Sinha, S. et al. / One-Dimensional Quasicrystals with Power-Law Hopping. in: Physical Review Letters. 2019 ; Jahrgang 123, Nr. 2.
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