On the absence of zero-temperature limit of equilibrium states for finite-range interactions on the lattice ${\mathbb{Z}}^2$

J. -R. Chazottes, M. Shinoda

We construct finite-range interactions on ${\mathcal{S}}^{{\mathbb{Z}}^2}$, where $\mathcal{S}$ is a finite set, for which the associated equilibrium states (i.e., the shift-invariant…