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000889162 1001_ $$0P:(DE-Juel1)169506$$aLux, Fabian$$b0$$eCorresponding author$$ufzj
000889162 245__ $$aChiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach
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000889162 520__ $$aWe demonstrate the emergence of an anomalous Hall effect in chiral magnetic textures which is neither proportional to the net magnetization nor to the well-known emergent magnetic field that is responsible for the topological Hall effect. Instead, it appears already at linear order in the gradients of the magnetization texture and exists for one-dimensional magnetic textures such as domain walls and spin spirals. It receives a natural interpretation in the language of Alain Connes’ noncommutative geometry. We show that this chiral Hall effect resembles the familiar topological Hall effect in essential properties while its phenomenology is distinctly different. Our findings make the reinterpretation of experimental data necessary, and offer an exciting twist in engineering the electrical transport through magnetic skyrmions.
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000889162 7001_ $$0P:(DE-Juel1)130643$$aFreimuth, Frank$$b1
000889162 7001_ $$0P:(DE-Juel1)130548$$aBlügel, Stefan$$b2
000889162 7001_ $$0P:(DE-Juel1)130848$$aMokrousov, Yuriy$$b3
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