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arXiv 2401.03044cond-mat.mes-hall
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非共线磁体中霍尔效应的机器学习启发模型

Machine learning inspired models for Hall effects in non-collinear magnets

Jonathan Kipp, Fabian R. Lux, Thorben Pürling, Abigail Morrison, Stefan Blügel, Daniele Pinna, Yuriy Mokrousov

AI总结:

提出将反常霍尔张量展开为对称不变量并结合正则化技术构建模型,以最少序参量符合晶格对称性,揭示非共线磁体中高阶横向输运贡献。

摘要:

一个多世纪以来,反常霍尔效应一直处于固态研究和材料科学的核心地位,非平庸磁结构中的复杂输运现象在理论和实验研究中也受到越来越多的关注。然而,即使对于最小的阻挫磁体或空间扩展的磁结构,如何清晰地捕捉磁化动力学对反常霍尔效应的影响,其明确的前进路径仍被热烈寻求。在这项工作中,我们提出了一种将反常霍尔张量展开为对称不变对象的方案,该方案将磁构型编码至自旋的任意幂次。我们表明,这些对称不变量可以与先进的正则化技术结合使用,从而构建磁结构中电输运的模型;这些模型一方面完全符合底层晶格的点群对称性,另一方面仅依赖于最少数目的序参量。在此,利用蜂窝晶格上的四能带紧束缚模型,我们证明所开发的方法可用于探讨横向输运中高阶贡献的重要性及其性质。该方法所赋予的高效性和广度为解决非共线磁体响应特性的固有复杂性提供了一种理想的系统化途径,为探索本征阻挫磁体以及大规模磁结构中的电输运铺平了道路。

英文摘要:

The anomalous Hall effect has been front and center in solid state research and material science for over a century now, and the complex transport phenomena in nontrivial magnetic textures have gained an increasing amount of attention, both in theoretical and experimental studies. However, a clear path forward to capturing the influence of magnetization dynamics on anomalous Hall effect even in smallest frustrated magnets or spatially extended magnetic textures is still intensively sought after. In this work, we present an expansion of the anomalous Hall tensor into symmetrically invariant objects, encoding the magnetic configuration up to arbitrary power of spin. We show that these symmetric invariants can be utilized in conjunction with advanced regularization techniques in order to build models for the electric transport in magnetic textures which are, on one hand, complete with respect to the point group symmetry of the underlying lattice, and on the other hand, depend on a minimal number of order parameters only. Here, using a four-band tight-binding model on a honeycomb lattice, we demonstrate that the developed method can be used to address the importance and properties of higher-order contributions to transverse transport. The efficiency and breadth enabled by this method provides an ideal systematic approach to tackle the inherent complexity of response properties of noncollinear magnets, paving the way to the exploration of electric transport in intrinsically frustrated magnets as well as large-scale magnetic textures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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