Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin Chirality Fluctuation and Anomalous Hall Effect in Itinerant
  Ferromagnets   The anomalous Hall effect due to the spin chirality order and fluctuation is
studied theoretically in a Kondo lattice model without the relativistic
spin-orbit interaction. Even without the correlations of the localized spins,
$\sigma_{xy}$ can emerge depending on the lattice structure and the spin
anisotropy. We reveal the condition for this chirality-fluctuation driven
mechanism for $\sigma_{xy}$. Our semiquantitative estimates for a pyrochlore
oxide Nd$_2$Mo$_2$O$_7$ give a finite $\sigma_{xy} \sim 10 \Ohm^{-1} \cm^{-1}$
together with a high resistivity $\rho_{xx} \sim 10^{-4}-10^{-3} \Ohm \cm$, in
agreement with experiments.

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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: math
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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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: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg