Critical properties of the X-Y model near the lifshitz point

Abstract

The Monte Carlo method is applied to a three-dimensional two-component spin model with nearest neighbour ferromagnetic interactions and next nearest neighbour antiferromagnetic interactions along one axis only (planar R-S model). The critical exponent of the order parameter is determined to be 0.20±0.02 very close to the Lifshitz point. The cross-over effect is discussed.