{"paper":{"title":"Metal-Insulator Transition in the Two-Dimensional Hubbard Model at Half-Filling with Lifetime Effects within the Moment Approach","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J.J. Rodr\\'iguez-N\\'u\\~nez, S. Schafroth","submitted_at":"1997-09-05T14:36:02Z","abstract_excerpt":"We explore the effect of the imaginary part of the self-energy, $Im\\Sigma(\\vec{k},\\omega)$, having a single pole, $\\Omega(\\vec{k},\\omega)$, with spectral weight, $\\alpha(\\vec{k})$, and quasi-particle lifetime, $\\Gamma(\\vec{k})$, on the density of states. We solve the set of parameters, $\\Omega(\\vec{k},\\omega$), $\\alpha(\\vec{k})$, and $\\Gamma(\\vec{k})$ by means of the moment approach (exact sum rules) of Nolting. Our choice for $\\Sigma(k,\\omega)$, satisfies the Kramers - Kronig relationship automatically. Due to our choice of the self - energy, the system is not a Fermi liquid for any value of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9709080","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"}