{"paper":{"title":"Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Carlindo Vitoriano, M. D. Coutinho-Filho, R. R. Montenegro-Filho","submitted_at":"2018-08-28T08:04:17Z","abstract_excerpt":"Bethe ansatz and bosonization procedures are used to describe the thermodynamics of the strong-coupled Hubbard chain in the \\textit{spin-incoherent} Luttinger liquid (LL) regime: $J(\\equiv 4t^2/U)\\ll k_B T\\ll E_F$, where $t$ is the hopping amplitude, $U(\\gg t)$ is the repulsive on-site Coulomb interaction, and $k_B T (E_F\\sim t)$ is the thermal (Fermi) energy. We introduce a fractional Landau LL approach, whose $U=\\infty$ fixed point is exactly mapped onto an ideal gas with two species obeying the Haldane-Wu \\textit{exclusion} fractional statistics. This phenomenological approach sheds light o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09159","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"}