Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-11-14
Phys. Rev. Lett. 90, 196602 (2003).
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, including 4 figures
Scientific paper
10.1103/PhysRevLett.90.196602
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.
Nagaosa Naoto
Onoda Shigeki
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