Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The chiral Hall effect of magnetic skyrmions 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 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 re-interpretation of experimental data necessary, and offer an exciting
twist in engineering the electrical transport through magnetic skyrmions.

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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc