One-Dimensional Quasicrystals with Power-Law Hopping

Physical Review Letters
X DengL Santos

Abstract

One-dimensional quasiperiodic systems with power-law hopping, 1/r^{a}, 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.

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Citations

Sep 14, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Madhumita SahaSantanu K Maiti
Jun 25, 2020·Physical Review. E·Ranjan Modak, Tanay Nag
Dec 25, 2019·Physical Review. E·Sayak RayDiptiman Sen
Oct 10, 2020·Physical Review Letters·Sudip Sinha, S Sinha
Nov 21, 2020·Physical Review Letters·Yucheng WangXiong-Jun Liu
Mar 13, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Qiyun Tang, Yan He
Jun 2, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Nilanjan Roy, Auditya Sharma

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