Hu Siyan, Tsai Shan-Ho, Landau D P
Center for Simulational Physics, University of Georgia, Athens, Georgia 30602, USA.
Center for Simulational Physics, University of Georgia, Athens, Georgia 30602, USA and Georgia Advanced Computing Resource Center, Enterprise Information Technology Services, University of Georgia, Athens, Georgia 30602, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Mar;89(3):032118. doi: 10.1103/PhysRevE.89.032118. Epub 2014 Mar 17.
We use Monte Carlo simulations to study the XXZ Heisenberg antiferromagnet in a field in order to clearly determine the nature of the multicritical point. We use a hybrid sampling method with Metropolis and Wolff-cluster algorithms, along with histogram reweighting techniques. Staggered magnetization susceptibilities, Binder cumulants, and finite-size scaling are considered in an effort to detect a possible biconical phase. An analysis of the probability distribution of the magnetization allowed us to conclude that the multicritical point is bicritical and it is in the three-dimensional Heisenberg universality class.
我们使用蒙特卡罗模拟来研究处于磁场中的XXZ海森堡反铁磁体，以便明确确定多临界点的性质。我们采用了结合 metropolis 和 Wolff 团簇算法的混合采样方法，以及直方图重加权技术。为了检测可能的双锥形相，我们考虑了交错磁化率、Binder 累积量和有限尺寸标度。对磁化概率分布的分析使我们得出结论，多临界点是双临界的，且它属于三维海森堡普适类。
