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

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Abstract

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 s t a g g e r e d 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 s t a g g e r e d 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.

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Pradhan, S., Samanta, K., Saha, K., & Nandy, A. K. (2023). Vector-chirality driven topological phase transitions in noncollinear antiferromagnets and its impact on anomalous Hall effect. Communications Physics, 6(1). https://doi.org/10.1038/s42005-023-01385-9

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