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arXiv · 2412.13518

Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping

Pei-Jie Chang·Qi-Bo Zeng·Jinghui Pi·Dong Ruan·Gui-Lu Long
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Abstract

Reentrant localization has recently been observed in systems with quasi-periodic nearest-neighbor hopping, where the interplay between dimerized hopping and staggered disorder is identified as the driving mechanism. However, the robustness of reentrant localization in the presence of long-range hopping remains an open question. In this work, we investigate the phenomenon of reentrant localization in systems incorporating long-range hopping. Our results reveal that long-range hopping induces reentrant localization regardless of whether the disorder is staggered or uniform. We demonstrate that long-range hopping does not inherently disrupt localization; instead, under specific conditions, it facilitates the emergence of reentrant localization. Furthermore, by analyzing critical exponents, we show that the inclusion of long-range hopping modifies the critical behavior, leading to transitions that belong to distinct universality classes.

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Pei-Jie Chang, Qi-Bo Zeng, Jinghui Pi, Dong Ruan, Gui-Lu Long. 2024-12-18. Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping. https://arxiv.org/abs/2412.13518

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