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arxiv 2412.13518 v1 pith:TVTF5F2K submitted 2024-12-18 cond-mat.dis-nn

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

classification cond-mat.dis-nn
keywords hoppinglocalizationlong-rangereentrantcriticaldisorderquasi-periodicstaggered
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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