用Wang-Landau算法研究具有最近邻相互作用的经典自旋-冰模型的热力学
Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
摘要：
本文采用Wang-Landau算法，通过蒙特卡罗模拟研究了经典的最近邻自旋冰模型（nnSI）。nnSI描述了自旋冰材料的几个显著特征。尽管它很简单，但它表现出非常丰富的行为。该模型已使用各种技术进行了研究，因此，它作为一个理想的基准测试的磁挫系统中的Wang Landau算法的能力。我们详细研究了nnSI的剩余熵，并通过在两个不同的晶体学方向（[111]和[100]）引入外加磁场，我们探索了kagome冰相的物理学，过渡到全极化，以及三维Kasteleyn过渡。在后一种情况下，我们讨论了如何额外的约束可以添加到哈密顿量，考虑到选择性的选择状态的配分函数，然后，显示这种选择如何导致实现理想的Kasteleyn过渡系统。
英文摘要：
In this article we study the classical nearest-neighbour spin-ice model (nnSI) by means of Monte Carlo simulations, using the Wang-Landau algorithm. The nnSI describes several of the salient features of the spin-ice materials. Despite its simplicity it exhibits a remarkably rich behaviour. The model has been studied using a variety of techniques, thus it serves as an ideal benchmark to test the capabilities of the Wang Landau algorithm in magnetically frustrated systems. We study in detail the residual entropy of the nnSI and, by introducing an applied magnetic field in two different crystallographic directions ([111] and [100],) we explore the physics of the kagome-ice phase, the transition to full polarisation, and the three dimensional Kasteleyn transition. In the latter case, we discuss how additional constraints can be added to the Hamiltonian, by taking into account a selective choice of states in the partition function and, then, show how this choice leads to the realization of the ideal Kasteleyn transition in the system.
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