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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2401.08980 |
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| _version_ | 1866910299601240064 |
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| author | Chi, Runze Yu, Josephine J. Murthy, Chaitanya Xiang, T. |
| author_facet | Chi, Runze Yu, Josephine J. Murthy, Chaitanya Xiang, T. |
| contents | We study the interplay between an on-site Hubbard repulsion and quasiperiodic potential in one-dimensional fermion chains using the density matrix renormalization group. We find that, at half-filling, the quasiperiodic potential can destroy the Mott gap, leading to a metallic Luttinger liquid phase between the gapped Mott insulator at strong repulsion and localized gapless Aubry- André insulator at strong quasiperiodic potential. Away from half-filing, the metallic phase of the interacting model persists to larger critical strengths of the potential than in the non-interacting case, suggesting interaction-stabilized delocalization at finite doping. We characterize the Luttinger liquid through its charge and spin correlations, structure factors, and entanglement entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08980 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Luttinger Liquid phase in the Aubry-André Hubbard chain Chi, Runze Yu, Josephine J. Murthy, Chaitanya Xiang, T. Strongly Correlated Electrons We study the interplay between an on-site Hubbard repulsion and quasiperiodic potential in one-dimensional fermion chains using the density matrix renormalization group. We find that, at half-filling, the quasiperiodic potential can destroy the Mott gap, leading to a metallic Luttinger liquid phase between the gapped Mott insulator at strong repulsion and localized gapless Aubry- André insulator at strong quasiperiodic potential. Away from half-filing, the metallic phase of the interacting model persists to larger critical strengths of the potential than in the non-interacting case, suggesting interaction-stabilized delocalization at finite doping. We characterize the Luttinger liquid through its charge and spin correlations, structure factors, and entanglement entropy. |
| title | Luttinger Liquid phase in the Aubry-André Hubbard chain |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2401.08980 |