{"paper":{"title":"Beyond the Hubbard-I Solution with a One-Pole Self-Energy at Half-Filling with the Moment Approach: Non-Linear Effects","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J.J. Rodriguez-Nunez, M.A. de Menezes","submitted_at":"1997-10-04T19:23:16Z","abstract_excerpt":"We have postulated a single pole for the self-energy, $\\Sigma(\\vec{k},\\omega)$, looking for the consequences on the one-particle Green function, $G(\\vec{k},\\omega)$ in the Hubbard model. We find that $G(\\vec{k},\\omega)$ satisfies the first two sum rules or moments of Nolting (Z. Physik 255, 25 (1972)) for any values of the two unknown $\\vec{k}$ parameters of $\\Sigma(\\vec{k},\\omega)$. In order to find these two parameters we have used the third and four sum rules of Nolting. $G(\\vec{k},\\omega)$ turns out to be identical to the one of Nolting (Z. Physik 225, 25 (1972)), which is beyond a Hubbard"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9710048","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":""},"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"}