This title appears in the Scientific Report :
2021
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevLett.124.096602 in citations.
Please use the identifier: http://hdl.handle.net/2128/28094 in citations.
Chiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach
Chiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach
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...
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Personal Name(s): | Lux, Fabian (Corresponding author) |
---|---|
Freimuth, Frank / Blügel, Stefan / Mokrousov, Yuriy | |
Contributing Institute: |
Quanten-Theorie der Materialien; PGI-1 JARA - HPC; JARA-HPC JARA-FIT; JARA-FIT Quanten-Theorie der Materialien; IAS-1 |
Published in: | Physical review letters, 124 (2020) 9, S. 096602 |
Imprint: |
College Park, Md.
APS
2020
|
DOI: |
10.1103/PhysRevLett.124.096602 |
Document Type: |
Journal Article |
Research Program: |
Topological Matter |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/28094 in citations.
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. |