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.

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

References in corpus (12)

• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Electrical Manipulation of a Topological Antiferromagnetic State
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Field induced topological Hall effect in non-coplanar triangular antiferromagnetic geometry of Mn3Sn
• Exchange-biased topological transverse thermoelectric effects in a Kagome ferrimagnet
• Comparing the anomalous Hall effect and the magneto-optical Kerr effect through antiferromagnetic phase transitions in Mn${}_3$Sn
• Anomalous thermal Hall effect in the topological antiferromagnetic state
• Planar Hall effect caused by the memory of antiferromagnetic domain walls in Mn${}_3$Ge
• Anti-chiral order and spin reorientation transitions of triangle-based antiferromagnets

Cited by in corpus (21)

• Spin-Polarized Antiferromagnetic Spintronics
• Large Anomalous Hall Effect at Room Temperature in a Fermi-Level-Tuned Kagome Antiferromagnet
• Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV${}_3$Sb${}_5$
• Gapped nodal planes drive a large topological Nernst effect in a chiral lattice antiferromagnet
• A combined First-principles and Boltzmann transport theory methodology for studying magnetotransport in magnetic materials
• Electronic band structures of topological kagome materials
• 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)
• Higher order exchange driven noncoplanar magnetic state and large anomalous Hall effects in electron doped kagome magnet Mn${}_3$Sn
• Ground-state magnetic structures of topological kagome metals RV${}_6$Sn${}_6$ (R = Tb, Dy, Ho, Er)
• Spin-Hall effect in topological materials: Evaluating the proper spin current in systems with arbitrary degeneracies
• Nonlinear charge and thermal transport properties induced by orbital magnetic moment in chiral crystal cobalt monosilicide
• Optical study of three-dimensional Weyl semimetal Mn${}_3$Sn
• MPd5 kagome superconductors studied by density functional calculations
• Nonmonotonic Hall effect of Weyl semimetals under magnetic field
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet
• Magnetic-Field and Strain Engineering of Modulated Transverse Transport in Altermagnetic Topological Materials
• Giant octupole moment in magnetic multilayers
• Anomalous Hall effect from nonlinear magnetoelectric coupling
• Imprinting electrically switchable scalar spin chirality by anisotropic strain in a Kagome antiferromagnet
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Analytic Formulas for the Anomalous Hall Effect in Itinerant Magnets