P.M. Bleher, J. Ruiz, V.A. Zagrebnov.
On the Purity of the Limiting Gibbs State for the Ising model on the
Bethe Lattice.
(19K, 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].