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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.01553 |
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| _version_ | 1866909632619872256 |
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| author | Ye, Ming-Yong |
| author_facet | Ye, Ming-Yong |
| contents | We investigate Hubbard models with bond-charge interactions on general graphs. For a Hamiltonian \(H\) of such a model, we provide the condition on its parameters under which the \(η\)-pairing method can be employed to construct its exact eigenstates. We arrive at this condition by finding that the requirement for the \(η\)-pairing state \((η^\dagger)^N |0\rangle\) to be an eigenstate of \(H\) is identical to the requirement for it to be an eigenstate of a Hubbard-type Hamiltonian \(H_m\). When the condition for \((η^\dagger)^N |0\rangle\) to be an eigenstate of the Hubbard-type Hamiltonian \(H_m\) is satisfied, we demonstrate that there are additional states, distinct from \((η^\dagger)^N |0\rangle\), which are also exact eigenstates of \(H_m\). Our results enhance the understanding of Hubbard models on general graphs, both with and without bond-charge interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eta-pairing states in Hubbard models with bond-charge interactions on general graphs Ye, Ming-Yong Strongly Correlated Electrons We investigate Hubbard models with bond-charge interactions on general graphs. For a Hamiltonian \(H\) of such a model, we provide the condition on its parameters under which the \(η\)-pairing method can be employed to construct its exact eigenstates. We arrive at this condition by finding that the requirement for the \(η\)-pairing state \((η^\dagger)^N |0\rangle\) to be an eigenstate of \(H\) is identical to the requirement for it to be an eigenstate of a Hubbard-type Hamiltonian \(H_m\). When the condition for \((η^\dagger)^N |0\rangle\) to be an eigenstate of the Hubbard-type Hamiltonian \(H_m\) is satisfied, we demonstrate that there are additional states, distinct from \((η^\dagger)^N |0\rangle\), which are also exact eigenstates of \(H_m\). Our results enhance the understanding of Hubbard models on general graphs, both with and without bond-charge interactions. |
| title | Eta-pairing states in Hubbard models with bond-charge interactions on general graphs |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2506.01553 |