P.M. Bleher,J. Ruiz,V.A. Zagrebnov
ON THE PURITY OF THE LIMITING GIBBS STATE FOR THE ISING MODEL ON
THE BETHE LATTICE
(18K, Tex)
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 ferromagnetic critical
temperature $T_c^F$ till the critical temperature $T_c^{SG}$ of
the corresponding spin-glass model. This new proof revises the
one proposed in [1].