Loop-string algorithm for Monte Carlo simulations of dipolar spin ice
Loop-string algorithm for Monte Carlo simulations of dipolar spin ice
复制标题
用于偶极自旋冰蒙特卡罗模拟的环串算法
DOI：
10.1103/physrevb.92.134401
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Hiromi Otsuka
中科院分区：
文献类型：
--
作者：
H. Kadowaki;H. Takatsu;T. Taniguchi;B. Fak;J. Ollivier;Hiromi Otsuka
最近，我们提出了环串算法（LSA）用于最近邻自旋-冰模型的蒙特卡罗模拟[物理学]。Rev. B 90, 220406(R) (2014)PRBMDO1098-012110.1103/PhysRevB.90.220406。本文讨论了其向双极自旋冰（DSI）的发展。为此，在哑铃表示的基础上，我们将DSI表示为一个由缺陷间库仑相互作用扰动的哈密顿模型所描述的神经网络自旋冰模型。然后应用LSA将系统分解为循环和串相互作用的混合物。在混合的模拟中，我们采用Metropolis算法。我们的方法有两个优点：首先，它不存在所谓的自旋冻结问题；其次，计算成本随温度呈指数递减，可以看作是投影等价概念的一种算法实现。我们将数值数据与实验结果进行比较，以证明其对这些受挫磁体的可预测性。
Recently, we proposed the loop-string algorithm (LSA) for the Monte Carlo simulations of the nearest-neighbor (NN) spin-ice model [Phys. Rev. B 90, 220406(R) (2014)PRBMDO1098-012110.1103/PhysRevB.90.220406]. Here we discuss its advancement to a dipolar spin ice (DSI) such asand. For this purpose, based on the dumbbell representation, we express DSI as a NN spin-ice model described by Hamiltonianperturbed by the Coulomb interactions among defects. Then we apply LSA toand decompose the system into a mixture of loops and strings interacting via. In simulation of the mixture, we employ the Metropolis algorithm. Our approach possesses two advantages: First, it is free of the so-called spin freezing problem; second, the computational cost fordecreases exponentially with temperature, which can be viewed as an algorithmic realization of the projective equivalence concept. We compare numerical data with experimental results forandto demonstrate its predictability for these frustrated magnets.