Absence of Domain Wall Roughening in a Transverse Field Ising Model with Long-Range Interactions

TL;DR

This study examines whether long-range interactions in a transverse-field Ising model induce domain wall roughening, finding that such interactions suppress the roughening transition observed in short-range models.

Contribution

It demonstrates that long-range interactions in a transverse-field Ising model prevent the occurrence of domain wall roughening, contrasting with short-range interaction models.

Findings

Long-range forces suppress the roughening transition.

Domain walls form due to strong anisotropy and long-range interactions.

Roughening transition is absent in the long-range interaction case.

Abstract

We investigate roughening transitions in the context of transverse-field Ising models. As a modification of the transverse Ising model with short range interactions, which has been shown to exhibit domain wall roughening, we have looked into the possibility of a roughening transition for the case of long-range interactions, since such a system is physically realized in the insulator LiHoF4. The combination of strong Ising anisotropy and long-range forces lead naturally to the formation of domain walls but we find that the long-range forces destroy the roughening transition.