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      Locations of multicritical points for spin glasses on regular lattices

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          Abstract

          We present an analysis leading to precise locations of the multicritical points for spin glasses on regular lattices. The conventional technique for determination of the location of the multicritical point was previously derived using a hypothesis emerging from duality and the replica method. In the present study, we propose a systematic technique, by an improved technique, giving more precise locations of the multicritical points on the square, triangular, and hexagonal lattices by carefully examining relationship between two partition functions related with each other by the duality. We can find that the multicritical points of the \(\pm J\) Ising model are located at \(p_c = 0.890813\) on the square lattice, where \(p_c\) means the probability of \(J_{ij} = J(>0)\), at \(p_c = 0.835985\) on the triangular lattice, and at \(p_c = 0.932593\) on the hexagonal lattice. These results are in excellent agreement with recent numerical estimations.

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          Most cited references11

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          Solvable Model of a Spin-Glass

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            Statistics of the Two-Dimensional Ferromagnet. Part I

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              • Article: not found

              Gauge-invariant frustrated Potts spin-glass

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                Author and article information

                Journal
                04 November 2008
                2009-03-03
                Article
                10.1103/PhysRevE.79.021129
                0811.0464
                bceade17-59c0-4587-b4ba-2c5e3992c577

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Phys. Rev. E 79, (2009) 021129
                17pages, this is the published version with some minnor corrections. Previous title was "Precise locations of multicritical points for spin glasses on regular lattices"
                cond-mat.dis-nn cond-mat.stat-mech

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