Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909432356536320 |
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| author | Chang, Pei-Jie Zeng, Qi-Bo Pi, Jinghui Ruan, Dong Long, Gui-Lu |
| author_facet | Chang, Pei-Jie Zeng, Qi-Bo Pi, Jinghui Ruan, Dong Long, Gui-Lu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13518 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping Chang, Pei-Jie Zeng, Qi-Bo Pi, Jinghui Ruan, Dong Long, Gui-Lu Disordered Systems and Neural Networks 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. |
| title | Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2412.13518 |