Journal
PHYSICAL REVIEW LETTERS
Volume 123, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.123.025301
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Funding
- DFG [SFB 1227, FOR2247]
- European Research Council under European Community's Seventh Framework Programme (FP7/2007-2013) [341197]
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One-dimensional quasiperiodic systems with power-law hopping, 1/r(a), differ from both the standard Aubry-Andre (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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