Topology in Holographic Mean-Field Theory at Zero and Finite Temperature
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912517094113280 |
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| author | Byun, Moongul Yuk, Taewon Han, Young-Kwon Ghorai, Debabrata Sin, Sang-Jin |
| author_facet | Byun, Moongul Yuk, Taewon Han, Young-Kwon Ghorai, Debabrata Sin, Sang-Jin |
| contents | We investigate topological invariants in strongly interacting many-body systems within holographic mean-field theory (H-MFT) framework. Analytic expressions for retarded Green's functions are obtained for all possible fermionic bilinear interactions in the limit of probe background limit $\mathrm{AdS}_4$, from which we construct topological Hamiltonians. Integrating Berry curvature over the momentum domain for the gapped spectra yields well-defined and quantized Chern numbers, enabling a systematic classification of them across interaction types. These topological invariants remain robust under deformation parameters like interaction and temperature, indicating that H-MFT encodes effective single-particle-state topology near a quantum critical point in strongly correlated systems. We point out why topological number is defined in the holographic theories while it is not in the perturbative field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01767 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topology in Holographic Mean-Field Theory at Zero and Finite Temperature Byun, Moongul Yuk, Taewon Han, Young-Kwon Ghorai, Debabrata Sin, Sang-Jin High Energy Physics - Theory Strongly Correlated Electrons We investigate topological invariants in strongly interacting many-body systems within holographic mean-field theory (H-MFT) framework. Analytic expressions for retarded Green's functions are obtained for all possible fermionic bilinear interactions in the limit of probe background limit $\mathrm{AdS}_4$, from which we construct topological Hamiltonians. Integrating Berry curvature over the momentum domain for the gapped spectra yields well-defined and quantized Chern numbers, enabling a systematic classification of them across interaction types. These topological invariants remain robust under deformation parameters like interaction and temperature, indicating that H-MFT encodes effective single-particle-state topology near a quantum critical point in strongly correlated systems. We point out why topological number is defined in the holographic theories while it is not in the perturbative field theory. |
| title | Topology in Holographic Mean-Field Theory at Zero and Finite Temperature |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2508.01767 |