Chiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach
Lux FR, Freimuth F, Bluegel S, Mokrousov Y (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 124
Article Number: 096602
Journal Issue: 9
DOI: 10.1103/PhysRevLett.124.096602
Abstract
We demonstrate the emergence of an anomalous Hall effect in chiral magnetic textures which is neither proportional to the net magnetization nor to the well-known emergent magnetic field that is responsible for the topological Hall effect. Instead, it appears already at linear order in the gradients of the magnetization texture and exists for one-dimensional magnetic textures such as domain walls and spin spirals. It receives a natural interpretation in the language of Alain Connes' noncommutative geometry. We show that this chiral Hall effect resembles the familiar topological Hall effect in essential properties while its phenomenology is distinctly different. Our findings make the reinterpretation of experimental data necessary, and offer an exciting twist in engineering the electrical transport through magnetic skyrmions.
Involved external institutions
Germany (DE)How to cite
APA:
Lux, F.R., Freimuth, F., Bluegel, S., & Mokrousov, Y. (2020). Chiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach. Physical Review Letters, 124(9). https://doi.org/10.1103/PhysRevLett.124.096602
MLA:
Lux, Fabian R., et al. "Chiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach." Physical Review Letters 124.9 (2020).
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