Chiral electric transport signatures in magnetic skyrmions and chiral helimagnets*

Classifying the unique electronic transport signature of magnetic skyrmions and domain walls is vital for their implementation as information bits of the future [1]. A chiral contribution to the anomalous Hall resistance of isolated skyrmions has recently been identified as a competitor to the topological Hall effect (THE) in noncentrosymmetric crystals: the chiral Hall effect (CHE) [2-3]. As the name suggests, this effect encodes structural information about the underlying magnetic state's chirality, which is not reflected in the THE. In this talk, we present the geometrical foundation of this effect and theoretically uncover its manifestations in a two-dimensional Rashba electron gas. Using phenomenological arguments based on symmetry grounds, we identify materials that are likely to display a strong CHE. We are convinced that our results will further promote the rich electronic physics of noncollinear magnetic textures - a critical step for their reliable electrical detection.

[1] Back et al. "The 2020 skyrmionics roadmap." J. Phys. D: Appl. Phys. (2020)
[2] Lux et al. Phys. Rev. Lett. 124, 9 (2020)
[3] Lux et al. arXiv:2005.12629 (2020)