Absence of Dobrushin states for $2d$ long-range Ising models

Loren Coquille, Aernout C. D. van Enter, Arnaud Le Ny +1

We consider the two-dimensional Ising model with long-range pair interactions of the form $J_{xy}\sim |x-y{|}^{-\alpha }$ with $\alpha >2$, mostly when $J_{xy}\ge 0$. We show that Dobrushin sta…