{"paper":{"title":"Eta-pairing states in Hubbard models with bond-charge interactions on general graphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Ming-Yong Ye","submitted_at":"2025-06-02T11:32:31Z","abstract_excerpt":"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 \\(\\eta\\)-pairing method can be employed to construct its exact eigenstates. We arrive at this condition by finding that the requirement for the \\(\\eta\\)-pairing state \\((\\eta^\\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 \\((\\eta^\\dagger)^N |0\\rangle\\) to be an eigenstate of the Hubbard-type Ha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01553","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.01553/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}