{"paper":{"title":"Asymptotic Bethe-Ansatz results for a Hubbard Chain with 1/sinh-Hopping","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"F. Gebhard, P.-A. Bares (ILL Grenoble)","submitted_at":"1994-06-21T15:55:04Z","abstract_excerpt":"We investigate spin-1/2 electrons with local Hubbard interaction and variable range hopping amplitudes which decay like~$\\sinh(\\kappa)/\\sinh(\\kappa r)$. Assuming integrability the Asymptotic Bethe Ansatz approach allows us to derive the generalized Lieb-Wu integral equations from the two-particle phase shift. Due to the nesting property there is a metal-to-insulator transition at $U_c(\\kappa>0)=0^+$. The charge gap in the singular limit $\\kappa=0$ opens when the interaction strength equals the bandwidth, $U_c(\\kappa=0)=W >0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9406084","kind":"arxiv","version":3},"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"}