TY  - JOUR
AU  - Lux, Fabian
AU  - Freimuth, Frank
AU  - Blügel, Stefan
AU  - Mokrousov, Yuriy
TI  - Chiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach
JO  - Physical review letters
VL  - 124
IS  - 9
SN  - 1079-7114
CY  - College Park, Md.
PB  - APS
M1  - FZJ-2021-00085
SP  - 096602
PY  - 2020
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - 32202897
UR  - <Go to ISI:>//WOS:000517970700003
DO  - DOI:10.1103/PhysRevLett.124.096602
UR  - https://juser.fz-juelich.de/record/889162
ER  -