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

George I. Mias·S. M. Girvin
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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.

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George I. Mias, S. M. Girvin. 2005-08-08. Absence of Domain Wall Roughening in a Transverse Field Ising Model with Long-Range Interactions. https://doi.org/10.1103/physrevb.72.064411

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