Field-linear anomalous Hall effect and Berry curvature induced by spin chirality in the kagome antiferromagnet Mn3Sn

Abstract

During the past two decades, it has been established that a non-trivial electron wave-function topology generates an anomalous Hall effect (AHE), which shows itself as a Hall conductivity non-linear in magnetic field. Here, we report on an unprecedented case of field-linear AHE. In Mn${}_3$Sn, a kagome magnet, the out-of-plane Hall response, which shows an abrupt jump, was discovered to be a case of AHE. We find now that the in-plane Hall response, which is perfectly linear in magnetic field, is set by the Berry curvature of the wavefunction. The amplitude of the Hall response and its concomitant Nernst signal exceed by far what is expected in the semiclassical picture. We argue that magnetic field induces out-of-plane spin canting and thereafter gives rise to nontrivial spin chirality on the kagome lattice. In band structure, we find that the spin chirality modifies the topology by gapping out Weyl nodal lines unknown before, accounting for the AHE observed. Our work reveals intriguing unification of real-space Berry phase from spin chirality and momentum-space Berry curvature.

arXiv comment4 figures and 6 pages. The supplementary materials were attached to the end

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• Magnetic States and Electronic Properties of Manganese-Based Intermetallic Compounds Mn${}_2$YAl and Mn${}_3$Z (Y = V, Cr, Fe, Co, Ni; Z = Al, Ge, Sn, Si, Pt)
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• Nonlinear charge and thermal transport properties induced by orbital magnetic moment in chiral crystal cobalt monosilicide
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• MPd5 kagome superconductors studied by density functional calculations
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• Magnetic-Field and Strain Engineering of Modulated Transverse Transport in Altermagnetic Topological Materials
• Giant octupole moment in magnetic multilayers
• Imprinting electrically switchable scalar spin chirality by anisotropic strain in a Kagome antiferromagnet
• Anomalous Hall effect from nonlinear magnetoelectric coupling
• Analytic Formulas for the Anomalous Hall Effect in Itinerant Magnets
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Spin order and excitations in the collinear kagome antiferromagnet Y${}_{0.5}$Fe${}_3$Sn${}_3$