Details
| Original language | English |
|---|---|
| Article number | 025301 |
| Journal | Physical Review Letters |
| Volume | 123 |
| Issue number | 2 |
| Early online date | 10 Jul 2019 |
| Publication status | Published - 12 Jul 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.
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In: Physical Review Letters, Vol. 123, No. 2, 025301, 12.07.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - One-Dimensional Quasicrystals with Power-Law Hopping
AU - Deng, X.
AU - Ray, S.
AU - Sinha, S.
AU - Shlyapnikov, G. V.
AU - Santos, Luis
PY - 2019/7/12
Y1 - 2019/7/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85069899435&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1808.03585
DO - 10.48550/arXiv.1808.03585
M3 - Article
C2 - 31386526
AN - SCOPUS:85069899435
VL - 123
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 2
M1 - 025301
ER -