Abstract
We give a proof that for the Ising model on the Bethe lattice, the limiting Gibbs state with zero effective field (disordered state) persists to be pure for temperature below the ferromagnetic critical temperatureT F c until the critical temperatureT SG c of the corresponding spin-glass model. This new proof revises the one proposed earlier.
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Communicated by J. L. Lebowitz
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Bleher, P.M., Ruiz, J. & Zagrebnov, V.A. On the purity of the limiting gibbs state for the Ising model on the Bethe lattice. J Stat Phys 79, 473–482 (1995). https://doi.org/10.1007/BF02179399
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DOI: https://doi.org/10.1007/BF02179399