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arXiv · 2101.03465

Dual-mapping and quantum criticality in off-diagonal Aubry-Andr\'{e} models

Tong Liu·Xu Xia
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Abstract

We study a class of off-diagonal quasiperiodic hopping models described by one-dimensional Su-Schrieffer-Heeger chain with quasiperiodic modulations. We unveil a general dual-mapping relation in parameter space of the dimerization strength $\lambda$ and the quasiperiodic modulation strength $V$, regardless of the specific details of the quasiperiodic modulation. Moreover, we demonstrated semi-analytically and numerically that under the specific quasiperiodic modulation, quantum criticality can emerge and persist in a wide parameter space. These unusual properties provides a distinctive paradigm compared with the diagonal quasiperiodic systems.

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Tong Liu, Xu Xia. 2021-01-10. Dual-mapping and quantum criticality in off-diagonal Aubry-Andr\'{e} models. https://arxiv.org/abs/2101.03465

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