Bethe lattice spin glass: The effects of a ferromagnetic bias and external fields. II. Magnetized spin-glass phase and the de Almeida-Thouless line |
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Authors: | J. M. Carlson J. T. Chayes J. P. Sethna D. J. Thouless |
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Affiliation: | (1) Institute for Theoretical Physics, University of California, 93106 Santa Barbara, California;(2) Department of Mathematics, University of California, 90024 Los Angeles, California;(3) Department of Physics, Cornell University, 14853 Ithaca, New York;(4) Department of Physics, University of Washington, 98195 Seattle, Washington |
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Abstract: | In this and the companion paper, we analyze the ±J Ising spin-glass model on the Bethe lattice with fixed uncorrelated boundary conditions. Phase diagrams are derived as a function of temperature vs. concentration of ferromagnetic bonds and, for a symmetric distribution of bonds, external field vs. temperature. In this part we characterize magnetized spin-glass (MSG) phases by divergence of an appropriate susceptibility: at zero field this signals the existence of an intermediate MSG phase; at nonzero field, this is used to identify the de Almeida-Thouless line. |
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Keywords: | Spin glass Bethe lattice multicritical point |
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