偶宇称和奇宇称波磁性Lieb晶格中的轨道霍尔效应与轨道交变磁性
Orbital Hall effect and orbital altermagnetism in even- and odd-parity-wave magnetic Lieb lattices
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中文总结 AI 辅助
本研究证明磁性Lieb晶格中无SOC即可实现d波交变磁态并产生轨道霍尔效应,扩展至p波磁性时轨道霍尔呈各向异性,确立了轨道霍尔作为交变磁体与铁磁体关联的非相对论输运表现。
中文摘要 AI 辅助
交变磁体将补偿的反铁磁序与类铁磁特征(如自旋极化能带,以及在适当条件下的反常霍尔响应)相结合。其特有的动量依赖自旋劈裂源于磁序与晶体结构的相互作用,因此不需要自旋轨道耦合(SOC),而反常霍尔效应则依赖于SOC。这引发了一个问题:交变磁体的类铁磁输运特征是否可以在非相对论极限下就已经显现。在这里,我们研究了磁性Lieb晶格中轨道角动量的输运。我们证明,共线反铁磁织构实现了d波交变磁态,并同时产生了轨道霍尔效应,两者都在完全没有SOC的情况下发生。在这个非相对论极限下,轨道霍尔响应与相应铁磁体的响应非常相似。当包含SOC时,轨道霍尔效应伴随自旋霍尔响应,而交变磁自旋织构获得了相应的轨道织构,实现了轨道交变磁性。相比之下,反常(或晶体)霍尔效应需要SOC,并且还受到晶体对称性约束。我们将分析从d波交变磁性扩展到奇宇称p波磁性,其中轨道霍尔效应变得各向异性,轨道电导率张量发展出对称的横向分量,类似于电荷输运中的平面霍尔响应。我们的结果确立了轨道霍尔效应作为交变磁体与铁磁体之间密切关系的非相对论输运表现,并将这种联系扩展到交变磁性之外的非传统磁序。
英文摘要
Altermagnets combine compensated antiferromagnetic order with ferromagnet-like signatures such as spin-polarized bands and, under appropriate conditions, an anomalous Hall response. Their characteristic momentum-dependent spin splitting originates from the interplay of magnetic order and crystal structure and therefore does not require spin-orbit coupling (SOC), whereas the anomalous Hall effect relies on SOC. This raises the question whether the ferromagnet-like transport character of altermagnets can manifest already in the nonrelativistic limit. Here, we investigate the transport of orbital angular momentum in magnetic Lieb lattices. We show that a collinear antiferromagnetic texture realizes a d-wave altermagnetic state and simultaneously generates an orbital Hall effect, both in the complete absence of SOC. In this nonrelativistic limit, the orbital Hall response closely resembles that of the corresponding ferromagnet. When SOC is included, the orbital Hall effect is accompanied by a spin Hall response, while the altermagnetic spin texture acquires a corresponding orbital texture, realizing orbital altermagnetism. In contrast, an anomalous, or crystal, Hall effect requires SOC and is additionally subject to crystal-symmetry constraints. We extend the analysis from d-wave altermagnetism to odd-parity p-wave magnetism, where the orbital Hall effect becomes anisotropic and the orbital conductivity tensor develops a symmetric transverse component analogous to the planar Hall response in charge transport. Our results establish the orbital Hall effect as a nonrelativistic transport manifestation of the close relation between altermagnets and ferromagnets and extend this connection to unconventional magnetic orders beyond altermagnetism.
发表机构
- Martin Luther University Halle-Wittenberg(马丁·路德·哈勒-维滕贝格大学)
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