{"paper":{"title":"Complex-Temperature Properties of the 2D Ising Model for Nonzero Magnetic Field","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"cond-mat","authors_text":"Robert Shrock, Victor Matveev","submitted_at":"1995-07-26T21:58:34Z","abstract_excerpt":"We study the complex-temperature phase diagram of the square-lattice Ising model for nonzero external magnetic field $H$, i.e. for $0 \\le \\mu \\le \\infty$, where $\\mu=e^{-2\\beta H}$. We also carry out a similar analysis for $-\\infty \\le \\mu \\le 0$. The results for the interval $-1 \\le \\mu \\le 1$ provide a new way of continuously connecting the two known exact solutions of this model, viz., at $\\mu=1$ (Onsager, Yang) and $\\mu=-1$ (Lee and Yang). Our methods include calculations of complex-temperature zeros of the partition function and analysis of low-temperature series expansions. For real nonz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9507120","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"}