Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
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arXiv
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866911971227467776 |
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| author | Setty, Chandan Sur, Shouvik Chen, Lei Xie, Fang Hu, Haoyu Paschen, Silke Cano, Jennifer Si, Qimiao |
| author_facet | Setty, Chandan Sur, Shouvik Chen, Lei Xie, Fang Hu, Haoyu Paschen, Silke Cano, Jennifer Si, Qimiao |
| contents | Lattice symmetries are central to the characterization of electronic topology. Recently, it was shown that Green's function eigenvectors form a representation of the space group. This formulation has allowed the identification of gapless topological states even when quasiparticles are absent. Here we demonstrate the profundity of the framework in the extreme case, when interactions lead to a Mott insulator, through a solvable model with long-range interactions. We find that both Mott poles and zeros are subject to the symmetry constraints, and relate the symmetry-enforced spectral crossings to degeneracies of the original non-interacting eigenstates. Our results lead to new understandings of topological quantum materials and highlight the utility of interacting Green's functions toward their symmetry-based design. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_13870 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros Setty, Chandan Sur, Shouvik Chen, Lei Xie, Fang Hu, Haoyu Paschen, Silke Cano, Jennifer Si, Qimiao Strongly Correlated Electrons Mesoscale and Nanoscale Physics Materials Science Lattice symmetries are central to the characterization of electronic topology. Recently, it was shown that Green's function eigenvectors form a representation of the space group. This formulation has allowed the identification of gapless topological states even when quasiparticles are absent. Here we demonstrate the profundity of the framework in the extreme case, when interactions lead to a Mott insulator, through a solvable model with long-range interactions. We find that both Mott poles and zeros are subject to the symmetry constraints, and relate the symmetry-enforced spectral crossings to degeneracies of the original non-interacting eigenstates. Our results lead to new understandings of topological quantum materials and highlight the utility of interacting Green's functions toward their symmetry-based design. |
| title | Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2301.13870 |