{"paper":{"title":"Absence of a classical long-range order in $S=1/2$ Heisenberg antiferromagnet on triangular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fumitaka Matsubara, Nobuo Suzuki, Sumiyoshi Fujiki, Takayuki Shirakura","submitted_at":"2014-11-04T05:38:01Z","abstract_excerpt":"We study the quantum phase transition of an $S=1/2$ anisotropic $\\alpha$ $(\\equiv J_z/J_{xy})$ Heisenberg antiferromagnet on a triangular lattice. We calculate the sublattice magnetization and the long-range helical order-parameter and their Binder ratios on finite systems with $N \\leq 36$ sites. The $N$ dependence of the Binder ratios reveals that the classical 120$^{\\circ}$ N\\'{e}el state occurs for $\\alpha \\lesssim 0.55$, whereas a critical collinear state occurs for $1/\\alpha \\lesssim 0.6$. This result is at odds with a widely-held belief that the ground state of a Heisenberg antiferromagn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0789","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"}