Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Hall effect in diffusive ferromagnetic thin films with
  spin-flip scattering   We study the topological Hall effect in a diffusive ferromagnetic metal thin
film by solving a Boltzmann transport equation in the presence of spin-flip
scattering. A generalized spin diffusion equation is derived, which contains an
additional source term associated with the gradient of the emergent magnetic
field that arises, and its solution shows that spin accumulation may build up
in the vicinity of the magnetic skyrmions. We show that the spin accumulation
gives rise to a spin polarized diffusion current that in general suppresses
that bulk topological Hall current. Only when the spin diffusion length is much
smaller than the skyrmion size, the topological Hall resistivity approaches to
the one originally derived by Bruno \textit{et al.} [Phys. Rev. Lett.
\textbf{93}, 096806 (2004)]. We derive a general expression of the TH
resistivity that applies to thin-film geometries with spin-flip scattering, and
show that the corrections to the TH resistivity become large when the size of
room temperature skyrmions is further reduced to tens of nanometers.

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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex