Re-entrant localization induced by short-range hopping in the fractal Rosenzweig-Porter Model
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918078621679616 |
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| author | Ghosh, Roopayan Sarkar, Madhumita Khaymovich, Ivan M. |
| author_facet | Ghosh, Roopayan Sarkar, Madhumita Khaymovich, Ivan M. |
| contents | Typically, metallic systems localized under strong disorder exhibit a transition to \imk{delocalization} %finite conduction as kinetic terms increase. In this work, we reveal the opposite effect~--~increasing kinetic terms leads to an unexpected \imk{reduction of mobility, }%suppression of conductivity, enhancing localization of the system, and even lead to re-entrant delocalization transitions. Specifically, we add a nearest-neighbor hopping with amplitude \(κ\) to the Rosenzweig-Porter (RP) model with fractal on-site disorder and surprisingly see that, as \(κ\) grows, the system initially tends to localization from the fractal phase, but then re-enters the ergodic phase. We build an analytical framework to explain this re-entrant behavior, supported by exact diagonalization results. The interplay between the spatially local $κ$ term, insensitive to fractal disorder, and the energy-local RP coupling, sensitive to fine-level spacing structure, drives the observed re-entrant behavior. This mechanism offers a novel pathway to re-entrant localization phenomena in many-body quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Re-entrant localization induced by short-range hopping in the fractal Rosenzweig-Porter Model Ghosh, Roopayan Sarkar, Madhumita Khaymovich, Ivan M. Disordered Systems and Neural Networks Statistical Mechanics Typically, metallic systems localized under strong disorder exhibit a transition to \imk{delocalization} %finite conduction as kinetic terms increase. In this work, we reveal the opposite effect~--~increasing kinetic terms leads to an unexpected \imk{reduction of mobility, }%suppression of conductivity, enhancing localization of the system, and even lead to re-entrant delocalization transitions. Specifically, we add a nearest-neighbor hopping with amplitude \(κ\) to the Rosenzweig-Porter (RP) model with fractal on-site disorder and surprisingly see that, as \(κ\) grows, the system initially tends to localization from the fractal phase, but then re-enters the ergodic phase. We build an analytical framework to explain this re-entrant behavior, supported by exact diagonalization results. The interplay between the spatially local $κ$ term, insensitive to fractal disorder, and the energy-local RP coupling, sensitive to fine-level spacing structure, drives the observed re-entrant behavior. This mechanism offers a novel pathway to re-entrant localization phenomena in many-body quantum systems. |
| title | Re-entrant localization induced by short-range hopping in the fractal Rosenzweig-Porter Model |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2411.16851 |