On the purity of the limiting gibbs state for the Ising model on the Bethe lattice
- Cite this article as:
- Bleher, P.M., Ruiz, J. & Zagrebnov, V.A. J Stat Phys (1995) 79: 473. doi:10.1007/BF02179399
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 temperatureTcF until the critical temperatureTcSG of the corresponding spin-glass model. This new proof revises the one proposed earlier.