Interaction-enhanced many body localization in a generalized Aubry-Andre model
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914833178296320 |
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| author | Huang, Ke Vu, DinhDuy Sarma, Sankar Das Li, Xiao |
| author_facet | Huang, Ke Vu, DinhDuy Sarma, Sankar Das Li, Xiao |
| contents | We study the many-body localization (MBL) transition in a generalized Aubry-Andre model (also known as the GPD model) introduced in Phys. Rev. Lett. 114, 146601 (2015). In contrast to MBL in other disordered or quasiperiodic models, the interaction seems to unexpectedly enhance MBL in the GPD model in some parameter ranges. To understand this counter-intuitive result, we demonstrate that the highest-energy single-particle band in the GPD model is unstable against even infinitesimal disorder, which leads to this surprising MBL phenomenon in the interacting model. We develop a mean-field theory description to understand the coupling between extended and localized states, which we validate using extensive exact diagonalization and DMRG-X numerical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_20090 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Interaction-enhanced many body localization in a generalized Aubry-Andre model Huang, Ke Vu, DinhDuy Sarma, Sankar Das Li, Xiao Disordered Systems and Neural Networks Quantum Physics We study the many-body localization (MBL) transition in a generalized Aubry-Andre model (also known as the GPD model) introduced in Phys. Rev. Lett. 114, 146601 (2015). In contrast to MBL in other disordered or quasiperiodic models, the interaction seems to unexpectedly enhance MBL in the GPD model in some parameter ranges. To understand this counter-intuitive result, we demonstrate that the highest-energy single-particle band in the GPD model is unstable against even infinitesimal disorder, which leads to this surprising MBL phenomenon in the interacting model. We develop a mean-field theory description to understand the coupling between extended and localized states, which we validate using extensive exact diagonalization and DMRG-X numerical results. |
| title | Interaction-enhanced many body localization in a generalized Aubry-Andre model |
| topic | Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2305.20090 |