Key points are not available for this paper at this time.
It is shown that the ferromagnetic Ising model on a Cayley tree lattice exhibits a new type of phase transition at the field B=0 below the Bethe-Peierls transition temperature T₁. The leading nonanalytic part of the free energy is of the form B^, where the "critical" exponent (T) increases smoothly from one to infinity as the temperature goes from 0 to T₁. This implies a transition of "continuous" order.
Müller‐Hartmann et al. (Mon,) studied this question.