Symmetry breaking in low-dimensional SU(N) antiferromagnets

TL;DR

This paper investigates how explicit symmetry breaking affects SU(N) antiferromagnets in one and two dimensions, revealing unique properties for N=3 relevant to cold atom systems and outlining the phase diagram's qualitative structure.

Contribution

It provides a detailed analysis of symmetry breaking effects in low-dimensional SU(N) antiferromagnets, highlighting the special case of N=3 and its implications for cold atom experiments.

Findings

N=3 exhibits unique properties distinct from N≥4.

The phase diagram's qualitative form depends on model parameters.

Explicit symmetry breaking influences low-dimensional SU(N) antiferromagnets.

Abstract

Consequences of explicit symmetry breaking in a physically motivated model of SU(N) antiferromagnet in spatial dimensions one and two are studied. It is shown that the case N=3, which can be realized in spin-1 cold atom systems, displays special properties distinctly different from those for N>=4. Qualitative form of the phase diagram depending on the model parameters is given.