各向异性海森堡铁磁体的GPU加速蒙特卡罗模拟
GPU-accelerated Monte Carlo simulations of anisotropic Heisenberg ferromagnets
摘要：
蒙特卡罗方法是一种强大的技术，用于计算热力学磁性状态，否则无法解决的自旋哈密顿量，但该方法变得计算上的限制与自旋的数量增加，真实材料和纳米结构的模拟是繁琐的。本文介绍了在图形处理器（GPU）上加速三维各向异性海森堡模型的蒙特卡罗模拟。这里提出的方法的GPU实现提供了两个数量级的加速超过传统的实现，并使大型系统的模拟，与任何晶格，包含高达$10^8$自旋在一个单一的GPU。这提供了模拟数百纳米大小的复杂结构和设备的可能性，以便以原子分辨率计算它们在有限温度下的磁状态。
英文摘要：
The Monte Carlo method is a powerful technique for computing thermodynamic magnetic states of otherwise unsolvable spin Hamiltonians, but the method becomes computationally prohibitive with increasing number of spins and the simulation of real materials and nanostructures is cumbersome. This paper presents the acceleration of Monte Carlo simulations of the three-dimensional anisotropic Heisenberg model on Graphics-Processing Units (GPU). The GPU implementation of the method presented here provides an acceleration of two orders of magnitude over conventional implementations and enables the simulation of large systems, with any crystal lattice, containing up to $10^8$ spins on a single GPU. This offers the possibility to simulate complex structures and devices that are hundreds of nanometers in size in order to compute their magnetic state at finite temperature with atomistic resolution.
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