Tilted Solid-On-Solid is liquid: scaling limit of SOS with a potential on a slope

Benoît Laslier, Eyal Lubetzky

The $(2+1)$D Solid-On-Solid (SOS) model famously exhibits a roughening transition: on an $N\times N$ torus with the height at the origin rooted at $0$, the variance of $h(x)$, the…