Journal Article FZJ-2021-00085

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Chiral Hall Effect in Noncollinear Magnets from a Cyclic Cohomology Approach

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2020
APS College Park, Md.

Physical review letters 124(9), 096602 () [10.1103/PhysRevLett.124.096602]

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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.

Classification:

Contributing Institute(s):
  1. Quanten-Theorie der Materialien (PGI-1)
  2. Quanten-Theorie der Materialien (IAS-1)
  3. JARA-FIT (JARA-FIT)
  4. JARA - HPC (JARA-HPC)
Research Program(s):
  1. 5211 - Topological Matter (POF4-521) (POF4-521)

Appears in the scientific report 2021
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 Record created 2021-01-07, last modified 2023-01-11


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