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Journal Articles SciPost Physics Year : 2022

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.

Dates and versions

hal-03539699 , version 1 (21-01-2022)

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