Anomalous mobility edges in one-dimensional quasiperiodic models
- URL: http://arxiv.org/abs/2105.04591v2
- Date: Fri, 21 Jan 2022 21:23:37 GMT
- Title: Anomalous mobility edges in one-dimensional quasiperiodic models
- Authors: Tong Liu, Xu Xia, Stefano Longhi, and Laurent Sanchez-Palencia
- Abstract summary: A class of mobility edges, dubbed anomalous mobility edges, separate localized states from bands of critical states in quasiperiodic models.
Results shed new light on the localization and critical properties of low-dimensional systems with aperiodic order.
- Score: 4.716325345907193
- License: http://creativecommons.org/licenses/by/4.0/
- 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 bands of localized states from bands of critical states 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
band of critical states. 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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