Characterizing Mott Insulators in the Interacting One-Body Picture
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910011429486592 |
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| author | Dionne, Theo N. Villodre, Santiago Iraola, Mikel Vergniory, Maia G. |
| author_facet | Dionne, Theo N. Villodre, Santiago Iraola, Mikel Vergniory, Maia G. |
| contents | We present a framework to characterize Mott insulating phases within the interacting one-body picture, focusing on the Hubbard diamond chain featuring both Hubbard interactions and spin-orbit coupling simulated within cellular dynamical mean field theory. Using symmetry analysis of the single-particle Green's function, we classify spectral functions by irreducible representations at high-symmetry points of the Brillouin zone. Complementarily, we calculate the one-body reduced density matrix which allows us to reach both a qualitative description of charge distribution and an analysis of the state purity. Moreover, within the Tensor Network framework, we employ a Density Matrix Renormalization Group approach to confirm the presence of three distinct phases and their corresponding phase transitions. Our results highlight how symmetry-labelled spectral functions and effective orbital analysis provide accessible single-particle tools for probing correlation-driven insulating phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizing Mott Insulators in the Interacting One-Body Picture Dionne, Theo N. Villodre, Santiago Iraola, Mikel Vergniory, Maia G. Strongly Correlated Electrons We present a framework to characterize Mott insulating phases within the interacting one-body picture, focusing on the Hubbard diamond chain featuring both Hubbard interactions and spin-orbit coupling simulated within cellular dynamical mean field theory. Using symmetry analysis of the single-particle Green's function, we classify spectral functions by irreducible representations at high-symmetry points of the Brillouin zone. Complementarily, we calculate the one-body reduced density matrix which allows us to reach both a qualitative description of charge distribution and an analysis of the state purity. Moreover, within the Tensor Network framework, we employ a Density Matrix Renormalization Group approach to confirm the presence of three distinct phases and their corresponding phase transitions. Our results highlight how symmetry-labelled spectral functions and effective orbital analysis provide accessible single-particle tools for probing correlation-driven insulating phases. |
| title | Characterizing Mott Insulators in the Interacting One-Body Picture |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2511.07331 |