Unconventional magnons in collinear magnets dictated by spin space groups
['Chen, Xiaobing', 'Zhang, Ao', 'Liu, Qihang']; Nature; 2025-03-12
『Abstract』Magnonic systems provide a fertile playground for bosonic topology , for example, Dirac and Weyl magnons, leading to a variety of exotic phenomena such as charge-free topologically protected boundary modes , the magnon thermal Hall effect and the magnon spin Nernst effect . However, their understanding has been hindered by the absence of fundamental symmetry descriptions of magnetic geometries and spin Hamiltonians primarily governed by isotropic Heisenberg interactions. The ensuing magnon dispersions enable gapless magnon band nodes that go beyond the scenario of representation theory of the magnetic space groups , thus referred to as unconventional magnons. Here we developed spin space group theory to elucidate collinear magnetic configurations, classifying the 1,421 collinear spin space groups into 4 types, constructing their band representations and providing a comprehensive tabulation of unconventional magnons, such as duodecuple points, octuple nodal lines and charge-4 octuple points. On the basis of the MAGNDATA database , we identified 498 collinear magnets with unconventional magnons, among which more than 200 magnon band structures were obtained by using first-principles calculations and linear spin wave theory. In addition, we evaluated the influence of the spin–orbit-coupling-induced exchange interaction in these magnets and found that more than 80 per cent are predominantly governed by the Heisenberg interactions, indicating that the spin space group serves as an ideal framework for describing magnon band nodes in most 3 d , 4 d and half-filled 4 f collinear magnets.
『摘要』
磁振子系统为玻色子拓扑提供了一个丰富的研究领域,例如狄拉克磁振子和外尔磁振子,导致了多种奇异现象,如无电荷拓扑保护的边界模式、磁振子热霍尔效应和磁振子自旋能斯特效应。然而,由于缺乏对主要由各向同性海森堡相互作用支配的磁性几何结构和自旋哈密顿量的基本对称性描述,人们对它们的理解一直受到阻碍。由此产生的磁振子色散使得无带隙磁振子能带节点超出了磁性空间群表示理论的范畴,因此被称为非常规磁振子。在此,我们发展了自旋空间群理论来阐明共线磁性构型,将1421个共线自旋空间群分为4种类型,构建了它们的能带表示,并非常规磁振子(如十二重点、八重节点线和四电荷八重点)提供了全面的表格。基于MAGNDATA数据库,我们确定了498种具有非常规磁振子的共线磁体,其中通过第一性原理计算和线性自旋波理论获得了200多种磁振子能带结构。此外,我们还评估了这些磁体中自旋-轨道耦合诱导的交换相互作用的影响,并发现超过80%的磁体主要受海森堡相互作用支配,这表明自旋空间群是描述大多数3d、4d和半满4f共线磁体中磁振子能带节点的理想框架。
『总结』
本研究发展了自旋空间群理论,对共线磁性构型进行了分类,并发现了498种具有非常规磁振子的共线磁体,其中大多数主要受海森堡相互作用支配。
『闲叙』