完全阻挫XY模型的Ising型相变

Ising-Like Phase Transition in Fully Frustrated XY Model

利用短时MonteCarlo方法研究正方点阵上铁磁键和反铁磁键按Z形排列和按列交错排列的完全阻挫(FF)XY模型的Ising型相变,计算这两种模型各自的临界温度Tc、静态指数2β/ν及ν、动力学指数z.分析序参量(交错手征磁化强度Mχ和交错磁化强度Mst)的选取对Ising型相变的影响,发现只有静态指数ν的值明显依赖于序参量的选取.模拟结果表明,这2个FFXY模型的临界温度和临界指数基本相等,属同一个普适类.

The Ising-like phase transitions of the fully frustrated （FF）XY models on a square lattice with ferromagnetic and antiferromagnetic couplings arranged in zigzag pattern and alternate columns pattern were investigated by means of short-time Monte Carlo simulations. The Ising-like phase transition temperature Tc and all the static and dynamic critical exponents 2β/v,v and z were estimated using the short-time dynamic scaling analysis. Analyzing the influence of order parameter （the staggered chiral magnetization Mx and the staggered magnetization Mst） on the Ising-like phase transition, it was found that the static critical exponent v is dependent on the definition of order parameter. The results also show that these two FFXY models are in the similar universal class.