{ "id": "cond-mat/0510816", "version": "v2", "published": "2005-10-30T16:31:31.000Z", "updated": "2006-02-09T11:11:59.000Z", "title": "Multicritical point of Ising spin glasses on triangular and honeycomb lattices", "authors": [ "S. L. A. de Queiroz" ], "comment": "Published version", "journal": "Physical Review B 73, 064410 (2006)", "doi": "10.1103/PhysRevB.73.064410", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "The behavior of two-dimensional Ising spin glasses at the multicritical point on triangular and honeycomb lattices is investigated, with the help of finite-size scaling and conformal-invariance concepts. We use transfer-matrix methods on long strips to calculate domain-wall energies, uniform susceptibilities, and spin-spin correlation functions. Accurate estimates are provided for the location of the multicritical point on both lattices, which lend strong support to a conjecture recently advanced by Takeda, Sasamoto, and Nishimori. Correlation functions are shown to obey rather strict conformal-invariance requirements, once suitable adaptations are made to account for geometric aspects of the transfer-matrix description of triangular and honeycomb lattices. The universality class of critical behavior upon crossing the ferro-paramagnetic phase boundary is probed, with the following estimates for the associated critical indices: $\\nu=1.49(2)$, $\\gamma=2.71(4)$, $\\eta_1= 0.183(3)$, distinctly different from the percolation values.", "revisions": [ { "version": "v2", "updated": "2006-02-09T11:11:59.000Z" } ], "analyses": { "keywords": [ "honeycomb lattices", "multicritical point", "triangular", "two-dimensional ising spin glasses", "ferro-paramagnetic phase boundary" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }