Spin Chirality Fluctuation and Anomalous Hall Effect in Itinerant Ferromagnets

Abstract

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 $σ_{xy} \sim 10 \Ohm^{-1} \cm^{-1}$ together with a high resistivity $ρ_{xx} \sim 10^{-4}-10^{-3} \Ohm \cm$, in agreement with experiments.

arXiv comment5 pages, including 4 figures

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