Vector Chirality $\kappa$ Driven Topological Phase Transition and the Associated Anomalous Hall Conductivity Tuning in a Non-Collinear Antiferromagnet

Abstract

Based on the first-principles electronic structure calculations and subsequent symmetry adapted effective low-energy $\text{k.p}$ theory, we show the switching of the vector chirality, $\kappa$, in a noncollinear antiferromagnet (AFM), Mn${}_3$Sn, as an unconventional route to topological phase transition from a nodal-ring to a Weyl point semimetal. Specifically, we find that the switching of $\kappa$ leads to gaping out an elliptic nodal-ring everywhere at the Fermi-level except for a pair of points on the ring. As a consequence, the topological phase transition switches the anomalous Hall conductivity (AHC) from zero to a giant value. Furthermore, we theoretically demonstrate how the controlled manipulation of the chiral AFM order keeping $\kappa$ unaltered favors unusual rotation of Weyl-points on the ring. This in turn enables us to tune in-plane components of the AHC by a collective uniform rotations of spins in the AFM unit cell.

6 pages, 3 figures

References in corpus (20)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• 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
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Maximally Localized Wannier Functions within the FLAPW formalism
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Spin-order dependent anomalous Hall effect and magneto-optical effect in noncollinear antiferromagnets Mn${}_{3}X$N ($X$ = Ga, Zn, Ag, and Ni)
• Piezomagnetic switching of anomalous Hall effect in an antiferromagnet at room temperature
• Electrically Tunable Magnetism in Magnetic Topological Insulators
• Electrically tuned magnetic order and magnetoresistance in a topological insulator
• Giant effective damping of octupole oscillation in an antiferromagnetic Weyl semimetal
• Pressure controlled trimerization for switching of anomalous Hall effect in triangular antiferromagnet Mn${}_3$Sn

Cited by in corpus (3)

• Higher order exchange driven noncoplanar magnetic state and large anomalous Hall effects in electron doped kagome magnet Mn${}_3$Sn
• Hydrostatic and chemical pressure driven crossover from commensurate to the incommensurate state of the Weyl semimetal Mn${}_{3+x}$Sn${}_{1-x}$
• Evidence for magnetoelastic coupling and chiral magnetic ground state in quasi-van der Waals tr-Cr${}_{1.22}$Te${}_2$