{"paper":{"title":"Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. A. Aligia, C. D. Batista","submitted_at":"2003-09-12T18:15:39Z","abstract_excerpt":"We derive an effective Hamiltonian $H_{eff}$ for an ionic Hubbard chain, valid for $t\\ll U,\\Delta $, where $t$ is the hopping, $U$ the Coulomb repulsion, and $\\Delta$ the charge transfer energy. $H_{eff}$ is the minimal model for describing the transition from the band insulator (BI) ($\\Delta -U\\gg t$) and the Mott insulator (MI) ($U-\\Delta \\gg t$). Using spin-particle transformations (Phys. Rev. Lett. \\textbf{86}, 1082 (2001)), we map $H_{eff}(U=\\Delta)$ into an SU(3) antiferromagnetic Heisenberg model whose exact ground state is known. In this way, we show rigorously that a spontaneously dim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309295","kind":"arxiv","version":2},"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/cond-mat/0309295/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"}