论文标题
泊松 - 二核分布和弱的一阶自旋纽马斯相变
Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
论文作者
论文摘要
我们基于使用Poisson-Dirichlet分布（PD）的计算，在通用环路模型配方中使用Poisson-Dirichlet分布（PD）计算，我们在三维旋转型量子磁体中从平面自旋态态中提供了通用弱的一阶热相变的定量表征。与较早的主张相反，列态的热融化不是连续的，而是从热性质和列表参数的分布中鉴定出弱的一阶转变。此外，基于PD计算，我们在不连续的熔融跃迁处获得了阶参数分布和粘合剂累积物的确切结果。我们的发现建立了平面自旋态态的热熔化，作为用于定量方法的通用平台，用于具有连续SU（2）内部对称性的量子系统中弱的一阶相变。
We provide a quantitative characterization of generic weakly first-order thermal phase transitions out of planar spin-nematic states in three-dimensional spin-one quantum magnets, based on calculations using Poisson-Dirichlet distributions (PD) within a universal loop model formulation, combined with large-scale quantum Monte Carlo calculations. In contrast to earlier claims, the thermal melting of the nematic state is not continuous, instead a weakly first-order transition is identified from both thermal properties and the distribution of the nematic order parameter. Furthermore, based on PD calculations, we obtain exact results for the order parameter distribution and Binder cumulants at the discontinuous melting transition. Our findings establish the thermal melting of planar spin-nematic states as a generic platform for quantitative approaches to weakly first-order phase transitions in quantum systems with a continuous SU(2) internal symmetry.
