{"paper":{"title":"Domain State of the ANNNI model in Two Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Fumitaka Matsubara, Nobuo Suzuki, Takayuki Shirakura","submitted_at":"2016-12-14T06:08:25Z","abstract_excerpt":"We have examined the spin ordering of an axial next-nearest-neighbor Ising (ANNNI) model in two dimensions (2D) near above the antiphase ($\\langle 2 \\rangle$ phase). We considered an $N_R$-replica system and calculated an overlap function $q_m$ between different replicas having used a cluster heat bath (CHB) Monte Carlo method. We determined transition temperature between $\\langle 2 \\rangle$ phase and a floating incommensurate (IC) phase as $T_{C2}/J = 0.89 \\pm 0.01$ with frustration ratio $\\kappa (\\equiv -J_2/J_1) = 0.6$. We found that the spin state at $T \\gtrsim T_{C2}$ may be called as a d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04502","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"}