Weyl Fermions in antiferromagnetic Mn(3)Sn and Mn(3)Ge

Abstract

The anomalous Hall effect in the noncollinear antiferromagnetic metals Mn(3)Ge and Mn(3)Sn has been observed after a theoretical prediction made by us (EPL, 108, 67001 (2014)). The experimental values of the anomalous Hall conductivities (AHC) are large as are the theoretical values. Recently measured thermoelectric properties mirror the large AHC and clearly show that the transport is by quasiparticles at the Fermi energy. We here make an attempt to unravel the origin of the large AHC and propose that both Mn(3)Sn and Mn(3)Ge host Weyl points, which were recently discovered in semimetals. For this purpose we determine the electronic structure ab initio in the local spin-density functional approximation. The Weyl points are found to occur below the Fermi energy and we argue that spots of large Berry flux ('hot spot') that are seen at the Fermi surface are produced by the Weyl nodes.

References in corpus (4)

• Large anomalous Nernst effect at room temperature in a chiral antiferromagnet
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Strong, anisotropic anomalous Hall effect and spin Hall effect in chiral antiferromagnetic compounds Mn${}_{3}X$ ($X$ = Ge, Sn, Ga, Ir, Rh and Pt)
• Anomalous Nernst and Righi-Leduc effects in Mn${}_3$Sn: Berry curvature and entropy flow

Cited by in corpus (26)

• Heusler, Weyl, and Berry
• Topological quantum materials from the viewpoint of chemistry
• Anomalous transport due to Weyl fermions in the chiral antiferromagnets Mn${}_3$$X$, $X$ = Sn, Ge
• Spin fluctuation induced Weyl semimetal state in the paramagnetic phase of EuCd${}_2$As${}_2$
• Anomalous and topological Hall effects in epitaxial thin films of the noncollinear antiferromagnet Mn${}_3$Sn
• Electric-Field Control of Magnetic Order: From FeRh to Topological Antiferromagnetic Spintronics
• Evaluation of spin diffusion length and spin Hall angle of antiferromagnetic Weyl semimetal Mn${}_3$Sn
• Integration of the Noncollinear Antiferromagnetic Metal Mn3Sn onto Ferroelectric Oxides for Electric-Field Control
• Real space Berry curvature of itinerant electron systems with spin-orbit interaction
• Ground state magnetic structure of Mn${}_3$Ge
• Exceptionally large anomalous Hall effect due to anticrossing of spin-split bands in the antiferromagnetic half-Heusler compound TbPtBi
• Antichiral spin order its Goldstone modes and their hybridization with phonons in the topological semimetal Mn3Ge
• Large anomalous Nernst and inverse spin-Hall effects in epitaxial thin films of Kagome semimetal Mn${}_3$Ge
• Momentum-space and real-space Berry curvatures in Mn${}_3$Sn
• The dynamics of local magnetic moments induced by itinerant Weyl electrons
• Pressure tuning of the anomalous Hall effect in the chiral antiferromagnet Mn3Ge
• Pressure controlled trimerization for switching of anomalous Hall effect in triangular antiferromagnet Mn${}_3$Sn
• Weak ferromagnetism in hexagonal Mn3Z (Z=Sn, Ge, Ga) alloys
• Magnetism and Magnetotransport in the Kagome Antiferromagnet ${\text{Mn}}_3\text{Ge}$
• Higher order exchange driven noncoplanar magnetic state and large anomalous Hall effects in electron doped kagome magnet Mn${}_3$Sn
• Surface Luttinger arcs in Weyl semimetals
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
• Probing magnetic anisotropy in Kagome antiferromagnetic Mn${}_3$Ge with torque magnetometry
• Electronic and optical properties of ternary kagome Rb2Ni3S4: a density functional study
• Imprinting electrically switchable scalar spin chirality by anisotropic strain in a Kagome antiferromagnet
• A Fermi Surface Descriptor Quantifying the Correlations between Anomalous Hall Effect and Fermi Surface Geometry