Vector-chirality driven topological phase transitions in noncollinear antiferromagnets and its impact on anomalous Hall effect.

Magnetic materials showing topologically nontrivial quantum states with high tunability is an undoubtedly important topic in condensed matter physics and material science. Based on the first-principles electronic structure calculations and subsequent symmetry adapted effective low-energy k.p theory, we show in a noncollinear antiferromagnet (AFM), Mn₃Sn, that the switching of the vector-chirality, κ, is an unconventional route to topological phase transition from a nodal-ring to a Weyl point semimetal. Specifically, we find that the switching of κ via staggered rotation leads to gapping 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 κ unaltered favors unusual rotation of Weyl-points on the ring. In fact, without staggered rotation, this enables us to tune and switch the sign of in-plane components of the AHC by a collective uniform rotations of spins in the AFM unit cell. A wide range of topological phases have generated interest, notably within the context of magnetic semimetals, where specific symmetries tied to magnetic orders ensure the preservation of distinct topological states. By introducing staggered rotations, the authors show a route to manipulate vector chirality, facilitating a topological phase transition and tunable anomalous Hall conductivity in the noncollinear chiral antiferromagnet Mn₃Sn. [ABSTRACT FROM AUTHOR]