Monte Carlo Simulation of the Three-dimensional XY Model with bilinear-Biquadratic Exchange Interaction II

摘要

The three-dimensional XY model with bilinear and biquadratic exchange interaction, J and J', has been studied by Monte Carlo simulation. From the detailed analysis of the histogram for the order parameter distribution and of the Binder parameter, the successive phase transition found for 0 < J/J' <= 0.35 between quadrupole and dipole ordering can be characterized as a first order type. The finite size scaling analysis gives a precise estimate of the critical exponent γ and V for the continuous phase transition form paramagnetic to quadrupole (or dipole-quadrupole) ordered phase, and suggests that the present system belongs to the same universality class with the conventional XY model which includes no biquadratic exchange interaction J'.