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      Multicritical points for the spin glass models on hierarchical lattices

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          Abstract

          The locations of multicritical points on many hierarchical lattices are numerically investigated by the renormalization group analysis. The results are compared with an analytical conjecture derived by using the duality, the gauge symmetry and the replica method. We find that the conjecture does not give the exact answer but leads to locations slightly away from the numerically reliable data. We propose an improved conjecture to give more precise predictions of the multicritical points than the conventional one. This improvement is inspired by a new point of view coming from renormalization group and succeeds in deriving very consistent answers with many numerical data.

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          Solvable Model of a Spin-Glass

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            Global random-field spin-glass phase diagrams in two and three dimensions

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              Phase diagram of the two-dimensional±JIsing spin glass

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                Author and article information

                Journal
                20 February 2008
                2009-03-04
                Article
                10.1103/PhysRevE.77.061116
                0802.2760
                673a1f78-2ec5-46c9-a2b7-19f945a672d7

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

                History
                Custom metadata
                Phys. Rev. E 77, 061116 (2008)
                11 pages, 9 figures, 7 tables This is the published version
                cond-mat.dis-nn cond-mat.stat-mech

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