{"paper":{"title":"The phase-diagram of the Blume-Capel-Haldane-Ising spin chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Christian Boudreault, M. B. Paranjape, S. A. Owerre","submitted_at":"2016-01-22T22:44:22Z","abstract_excerpt":"We consider the one-dimensional spin chain for arbitrary spin $s$ on a periodic chain with $N$ sites, the generalization of the chain that was studied by Blume and Capel \\cite{bc}: $$H=\\sum_{i=1}^N \\left(a (S^z_i)^2+ b S^z_iS^z_{i+1}\\right).$$ The Hamiltonian only involves the $z$ component of the spin thus it is essentially an Ising \\cite{Ising} model. The Hamiltonian also figures exactly as the anisotropic term in the famous model studied by Haldane \\cite{haldane} of the large spin Heisenberg spin chain \\cite{bethe}. Therefore we call the model the Blume-Capel-Haldane-Ising model. Although t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06195","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"}