Microscopic theory of electrically induced spin torques in magnetic Weyl semimetals

Abstract

We theoretically study electrical responses of magnetization in Weyl semimetals. The Weyl semimetal is a new class of topological semimetals, possessing hedgehog type spin textures in momentum space. Because of this peculiar spin texture, an interplay of electron transport and spin dynamics might provide new method to electrical control of magnetization. In this paper, we consider the magnetically doped Weyl semimetals, and systematically study current- and charge-induced spin torque exerted on the local magnetization in three-dimensional Dirac-Weyl metals. We determine all current-induced spin torques including spin-orbit torque, spin-transfer torque, and the so-called $\beta$-term, up to first order with respect to spatial and temporal derivation and electrical currents. We find that spin-transfer torque and $\beta$-term are absent while spin-orbit torque is proportional to the axial current density. We also calculate the charge-induced spin torque microscopically. We find the charge-induced spin torque originates from the chiral anomaly due to the correspondence between spin operators and axial current operators in our model.

12 pages, 3 figures

References in corpus (27)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Spin Transfer Torques
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Massive Dirac fermions in a ferromagnetic kagome metal
• Topological response in Weyl semimetals and the chiral anomaly
• Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
• Evidence for Magnetic Weyl Fermions in a Correlated Metal
• Giant anomalous Nernst effect and quantum-critical scaling in a ferromagnetic semimetal
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Chiral anomaly and transport in Weyl metals
• Giant and anisotropic many-body spin-orbit tunability in a strongly correlated kagome magnet
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co${}_2$MnGa
• Giant room temperature anomalous Hall effect and magnetically tuned topology in the ferromagnetic Weyl semimetal Co2MnAl
• Topological surface Fermi arcs in the magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Anomalous Hall effect and topological defects in antiferromagnetic Weyl semimetals: Mn${}_3$Sn/Ge
• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Quantum transport evidence of Weyl fermions in an epitaxial ferromagnetic oxide
• Prediction of a magnetic Weyl semimetal without spin-orbit coupling and strong anomalous Hall effect in the Heusler compensated ferrimagnet Ti2MnAl
• Landau levels, Bardeen polynomials and Fermi arcs in Weyl semimetals: the who's who of the chiral anomaly
• Theory for spin torque in Weyl semimetal with magnetic texture
• Anomalous Hall Effect and Spontaneous Orbital Magnetization in Antiferromagnetic Weyl Metal
• Two-orbital effective model for magnetic Weyl semimetal in Kagome-lattice shandite
• Electron Correlation Induced Spontaneous Symmetry Breaking and Weyl Semimetal Phase in a Strongly Spin-Orbit Coupled System
• Axial Current driven by Magnetization Dynamics in Weyl Semimetals