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Anomalous mobility edges in one-dimensional quasiperiodic models

Abstract : Mobility edges, separating localized from extended states, are known to arise in the single-particle energy spectrum of disordered systems in dimension strictly higher than two and certain quasiperiodic models in one dimension. Here we unveil a different class of mobility edges, dubbed anomalous mobility edges, that separate energy intervals where all states are localized from energy intervals where all states are critical in diagonal and off-diagonal quasiperiodic models. We first introduce an exactly solvable quasi-periodic diagonal model and analytically demonstrate the existence of anomalous mobility edges. Moreover, numerical multifractal analysis of the corresponding wave functions confirms the emergence of a finite energy interval where all states are critical. We then extend the sudy to a quasiperiodic off-diagonal Su-Schrieffer-Heeger model and show numerical evidence of anomalous mobility edges. We finally discuss possible experimental realizations of quasi-periodic models hosting anomalous mobility edges. These results shed new light on the localization and critical properties of low-dimensional systems with aperiodic order.
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https://hal-polytechnique.archives-ouvertes.fr/hal-03539699
Contributor : Laurent Sanchez-Palencia Connect in order to contact the contributor
Submitted on : Friday, January 21, 2022 - 10:30:59 PM
Last modification on : Saturday, January 22, 2022 - 3:37:00 AM

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Tong Liu, Xu Xia, Stefano Longhi, Laurent Sanchez-Palencia. Anomalous mobility edges in one-dimensional quasiperiodic models. SciPost Physics, SciPost Foundation, 2022, 12 (1), pp.027. ⟨10.21468/SciPostPhys.12.1.027⟩. ⟨hal-03539699⟩

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