Phase transitions in XY antiferromagnets on plane triangulations

Date: 2013-01-24
Authors Jian-Ping Lv, Timothy M. Garoni, and Youjin Deng
Journal No. Phys. Rev. B 87, 024108 (2013)
Abstract Using Monte Carlo simulations and finite-size scaling, we investigate the XY antiferromagnet on the triangular, Union Jack, and bisected-hexagonal lattices, and in each case find both Ising and Kosterlitz-Thouless transitions. As is well known, on the triangular lattice, as the temperature decreases the system develops chiral order for temperatures TTc, before chiral order develops. In some cases, the sublattice spins then undergo a second transition, of Ising type, separating two quasi-long-range ordered phases. On the Union Jack lattice, the magnetization on the degree-4 sublattice remains disordered until Tc and then undergoes an Ising transition to a quasi-long-range ordered phase.