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

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 hopp...

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Main Authors: Pei-Jie Chang, Qi-Bo Zeng, Jinghui Pi, Dong Ruan, Gui-Lu Long
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/add558
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author Pei-Jie Chang
Qi-Bo Zeng
Jinghui Pi
Dong Ruan
Gui-Lu Long
author_facet Pei-Jie Chang
Qi-Bo Zeng
Jinghui Pi
Dong Ruan
Gui-Lu Long
author_sort Pei-Jie Chang
collection DOAJ
description 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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publishDate 2025-01-01
publisher IOP Publishing
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series New Journal of Physics
spelling doaj-art-b466891666fb4c2a9a76e5cff5c68ed02025-08-20T02:31:10ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127505350110.1088/1367-2630/add558Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hoppingPei-Jie Chang0Qi-Bo Zeng1Jinghui Pi2https://orcid.org/0000-0002-6899-8132Dong Ruan3Gui-Lu Long4State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University , Beijing 100084, People’s Republic of ChinaDepartment of Physics, Capital Normal University , Beijing 100048, People’s Republic of ChinaThe Chinese University of Hong Kong Shenzhen Research Institute , Shenzhen 518057, People’s Republic of China; Department of Physics, The Chinese University of Hong Kong , Shatin, New Territories, Hong Kong Special Administrative Region of China, People’s Republic of ChinaState Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University , Beijing 100084, People’s Republic of China; Frontier Science Center for Quantum Information, Tsinghua University , Beijing 100084, People’s Republic of ChinaState Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University , Beijing 100084, People’s Republic of China; Frontier Science Center for Quantum Information, Tsinghua University , Beijing 100084, People’s Republic of China; Beijing Academy of Quantum Information Sciences , Beijing 100193, People’s Republic of China; Beijing National Research Center for Information Science and Technology , Beijing 100084, People’s Republic of ChinaReentrant 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.https://doi.org/10.1088/1367-2630/add558latticesquasi-periodic disorderreentrant localizationlong-range hopping
spellingShingle Pei-Jie Chang
Qi-Bo Zeng
Jinghui Pi
Dong Ruan
Gui-Lu Long
Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
New Journal of Physics
lattices
quasi-periodic disorder
reentrant localization
long-range hopping
title Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
title_full Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
title_fullStr Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
title_full_unstemmed Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
title_short Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
title_sort investigation of reentrant localization transition in one dimensional quasi periodic lattice with long range hopping
topic lattices
quasi-periodic disorder
reentrant localization
long-range hopping
url https://doi.org/10.1088/1367-2630/add558
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AT qibozeng investigationofreentrantlocalizationtransitioninonedimensionalquasiperiodiclatticewithlongrangehopping
AT jinghuipi investigationofreentrantlocalizationtransitioninonedimensionalquasiperiodiclatticewithlongrangehopping
AT dongruan investigationofreentrantlocalizationtransitioninonedimensionalquasiperiodiclatticewithlongrangehopping
AT guilulong investigationofreentrantlocalizationtransitioninonedimensionalquasiperiodiclatticewithlongrangehopping