Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918409921363968 |
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| author | Niedda, Jacopo Bracci-Testasecca, Giacomo Magnifico, Giuseppe Balducci, Federico Vanoni, Carlo Scardicchio, Antonello |
| author_facet | Niedda, Jacopo Bracci-Testasecca, Giacomo Magnifico, Giuseppe Balducci, Federico Vanoni, Carlo Scardicchio, Antonello |
| contents | We analyze the spectral properties of the Heisenberg spin-1/2 chain with random fields in light of recent works of the renormalization-group flow of the Anderson model in infinite dimension. We reconstruct the beta function of the order parameter from the numerical data, and show that it does not admit a one-parameter scaling form and a simple Wilson-Fisher fixed point. Rather, it is compatible with a two-parameter, Berezinskii-Kosterlitz-Thouless-like flow with a line of fixed points (the many-body localized phase), which terminates into the localization transition critical point. Therefore, we argue that previous studies, which assumed the existence of an isolated Wilson- Fisher fixed point and performed one-parameter finite-size scaling analysis, could not explain the numerical data in a coherent way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12430 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain Niedda, Jacopo Bracci-Testasecca, Giacomo Magnifico, Giuseppe Balducci, Federico Vanoni, Carlo Scardicchio, Antonello Disordered Systems and Neural Networks Statistical Mechanics We analyze the spectral properties of the Heisenberg spin-1/2 chain with random fields in light of recent works of the renormalization-group flow of the Anderson model in infinite dimension. We reconstruct the beta function of the order parameter from the numerical data, and show that it does not admit a one-parameter scaling form and a simple Wilson-Fisher fixed point. Rather, it is compatible with a two-parameter, Berezinskii-Kosterlitz-Thouless-like flow with a line of fixed points (the many-body localized phase), which terminates into the localization transition critical point. Therefore, we argue that previous studies, which assumed the existence of an isolated Wilson- Fisher fixed point and performed one-parameter finite-size scaling analysis, could not explain the numerical data in a coherent way. |
| title | Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2410.12430 |