Long range chiral order in the antiferromagnetic [formula omitted] model on the triangular lattice

Abstract

The antiferromagnetic S = 1 2 xy model on finite triangular lattices with lattice sites N≦21 is studied by using a Monte Carlo method of random sampling of states. The peak height of the specific heat is shown to increase remarkably with N and the long range chirality is shown to increase rapidly below a finite temperature. These results strongly suggest the occurence of a phase transition related with the long range chiral order in the model. The transition temperature is estimated to be kT ch/ J = 0.39±0.03.