复杂磁相发现的数字退火路径

Akshat A. Jha, Eliana L. Stoyanoff, G. Khundzakishvili, Paul Kairys, Hayato Ushijima-Mwesigwa, A. Banerjee
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引用次数: 2

摘要

与传统架构相比,新兴的计算范式和设备架构可能为科学发现提供更强大、更有效的途径。其中一个范例是数字退火器(DA),这是一种硬件加速设备,旨在以比传统设备架构更低的开销实现马尔可夫链蒙特卡罗算法。为了更好地理解数字退火在科学发现中的适用性,我们探索了全连接8000变量富士通数据分析在复杂材料科学问题中的应用。我们确定了在扩展Shastry-Sutherland晶格上定义的Ising模型的复杂相和相变,该模型被认为有效地描述了许多潜在自旋电子材料中的磁性物理。为了验证我们的实现,我们确定了模型的所有已知解,包括非平凡和高度非退化的1/3、1/2、1/5和5/9分数磁化平台。考虑到边界效应,我们发现富士通数据提供了完美质量的解决方案,甚至接近于经典蒙特卡罗代码经常难以收敛的相变。然后,我们利用DA的全连接性及其可调参数来发现以前不知道的新相及其有趣的自旋基序。我们得出结论,数字退火为发现复杂磁相提供了一条新的途径,为自旋电子学材料的理解和工程开辟了道路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Digital Annealing Route to Complex Magnetic Phase Discovery
Emerging computational paradigms and device architectures may provide more robust, efficient routes for scientific discovery compared to traditional architectures. One such paradigm is that of the Digital Annealer (DA), a hardware-accelerated device designed to implement Markov Chain Monte Carlo algorithms with lower overhead than traditional device architectures. To better understand the applicability of digital annealing for scientific discovery, we explore the application of the fully connected 8000 variable Fujitsu DA for a complex material science problem. We identify the intricate phases and the phase transitions of an Ising model defined on an extended Shastry-Sutherland lattice, which is believed to effectively describe the magnetic physics in a host of potential spintronic materials. To validate our implementation, we identify all previously known solutions to the model, including the nontrivial and highly non-degenerate 1/3,1/2,1/5, and 5/9 fractional magnetization plateaus. Accounting for the boundary effects, we find that the Fujitsu DA provides immaculate quality of solutions, even close to a phase transition where classical Monte Carlo codes can often struggle to converge. We then take advantage of the full connectivity of the DA, and its tunable parameters to discover new phases and their interesting spin motifs not previously known. We conclude that digital annealing provides a novel route for discovery of complex magnetic phases, opening avenues for the understanding and engineering of spintronics materials.
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