Abstract
We consider ferromagnetic long-range Ising models which display phase transitions. They are one-dimensional Ising ferromagnets, in which the interaction is given by Jx,y=J(|x−y|)≡1|x−y|2−α with α∈[0,1) , in particular, J(1)=1 . For this class of models, one way in which one can prove the phase transition is via a kind of
... read more