Dynamical scaling analysis of symmetry breaking for the antiferromagnetic triangular Heisenberg model in a uniform magnetic field
Dynamical scaling analysis of symmetry breaking for the antiferromagnetic triangular Heisenberg model in a uniform magnetic field
复制标题
均匀磁场中反铁磁三角海森堡模型对称破缺的动态标度分析
DOI：
10.1103/physrevb.101.184427
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发表时间：
2020
影响因子：
3.7
通讯作者：
Kazuaki Murayama and Yukiyasu Ozeki
中科院分区：
文献类型：
--
作者：
Kenta Hagiwara and Yukiyasu Ozeki;Yukiyasu Ozeki and Kenta Hagiwara;Yukiyasu Ozeki and Yuma Osada;Kazuaki Murayama and Yukiyasu Ozeki
利用动力学标度分析方法，对二维反铁磁三角海森堡模型在均匀场中的相变进行了初步分析。这个系统有和对称性。利用序参量的弛豫和弛豫时间在相变温度附近的渐近行为研究了相变温度和相变类型。在低场范围内，和对称性的序参量分别表现出典型的二阶跃迁和Kosterlitz-loss（KT）跃迁的行为，具有不同的转变温度。在高场范围内，对称性的序参量表现出二阶跃迁的行为，而另一个与垂直于场的分量有关的序参量则表明弛豫时间以渐近形式发散，表明是二阶跃迁而不是KT跃迁.这些转变温度估计是接近的。这两个序参量的临界指数分别估计通过计算在高场范围内的波动松弛。结果表明，这两种序参量的临界指数都是场的函数，并且是连续变化的。
Phase transitions for the two-dimensional antiferromagnetic triangular Heisenberg model in a uniform field are primarily analyzed using dynamical scaling analysis. The system hasandsymmetries. The transition temperatures and types of transition are investigated using the relaxation of order parameters and the asymptotic behaviors of relaxation time around transition temperatures. In the low-field range, the order parameters for theandsymmetries exhibit the behavior typical of a second-order transition and Kosterlitz-Thouless (KT) transition, respectively, with distinct transition temperatures. In the high-field range, an order parameter for thesymmetry exhibits the behavior of a second-order transition, while another order parameter related to the components perpendicular to the field demonstrates that the relaxation time diverges with an asymptotic form, indicating a second-order transition rather than a KT transition. These transition temperatures are estimated to be close. Critical exponents for these two order parameters are estimated separately by calculating the relaxation of fluctuations in the high-field range. It was confirmed that the critical exponents for both of these order parameters change continuously as a function of field, and they are distinct from each other.