Magnetism and Magnetotransport in the Kagome Antiferromagnet ${\text{Mn}}_3\text{Ge}$

Abstract

We perform classical Monte Carlo and stochastic Landau-Lifshitz-Gilbert simulations to study temperature dependent magnetism of Kagome antiferromagnet (AFM) Weyl metal ${\text{Mn}}_3\text{Ge}$ and find that a long range chiral order sets in at a transition temperature well below the N{é}el temperature ($T_N$). Based on the crystalline symmetries, imposed by the chiral magnetic order, we argue for the presence of multiple iso-energetic Weyl nodes (nodes that are at same energy and with congruent Fermi surface around them) near chemical potential. Using the semi-classical Boltzmann equations, we show that the combined contribution to the net longitudinal magnetoconductance (LMC) and the planar Hall conductance (PHC) from tilted Weyl nodes can lead to signatures, qualitatively distinct from that of a single pair of Weyl nodes. In particular, we show that magnetic orders with different chiralities can give rise to different periods in LMC and PHC as a function of the in-plane magnetic field direction. This is ultimately related to differences in the symmetry-imposed constraints on the Weyl nodes.

References in corpus (4)

• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Angle dependence of the orbital magnetoresistance in bismuth
• Real space Berry curvature of itinerant electron systems with spin-orbit interaction

Cited by in corpus (5)

• Topological kagome magnets and superconductors
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Strain tuning the magnetic and transport properties of Mn${}_3$Ge
• Tuning the Hall response of a noncollinear antiferromagnet via spin-transfer torques and oscillating magnetic fields
• Uniaxial stress tuning of the anomalous Hall effect in Mn3Ge