XY checkerboard antiferromagnet in external field

TL;DR

This paper investigates the thermal fluctuation-induced ordering in a classical XY antiferromagnet on a checkerboard lattice, revealing novel symmetry-breaking states under various magnetic fields through analytical and Monte Carlo methods.

Contribution

It uncovers new broken symmetry phases, including nematic and triatic orders, in the XY antiferromagnet model under different magnetic field conditions.

Findings

Identification of nematic ordering in zero field

Discovery of triatic order at high magnetic fields

Use of analytical and Monte Carlo methods to analyze phase behavior

Abstract

Ordering by thermal fluctuations is studied for the classical XY antiferromagnet on a checkerboard lattice in zero and finite magnetic fields by means of analytical and Monte Carlo methods. The model exhibits a variety of novel broken symmetries including states with nematic ordering in zero field and with triatic order parameter at high fields.