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Science 30 March 2001:
Vol. 291. no. 5513, pp. 2573 - 2576
DOI: 10.1126/science.1058161
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Reports

Spin Chirality, Berry Phase, and Anomalous Hall Effect in a Frustrated Ferromagnet

Y. Taguchi,1 Y. Oohara,2 H. Yoshizawa,2 N. Nagaosa,13 Y. Tokura13

An electron hopping on non-coplanar spin sites with spin chirality obtains a complex phase factor (Berry phase) in its quantum mechanical amplitude that acts as an internal magnetic field, and is predicted to manifest itself in the Hall effect when it is not cancelled. The present combined work of transport measurement, neutron scattering, and theoretical calculation provides evidence that the gigantic anomalous Hall effect observed in Nd2Mo2O7, a pyrochlore ferromagnet with geometrically frustrated lattice structure, is mostly due to the spin chirality and the associated Berry phase originating from the Mo spin tilting.

1 Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan.
2 Neutron Scattering Laboratory, Institute for Solid State Physics, University of Tokyo, Tokai, Ibaraki 319-1106, Japan.
3 Correlated Electron Research Center (CERC) and Joint Research Center for Atom Technology (JRCAT), Tsukuba 305-0046, Japan.

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THIS ARTICLE HAS BEEN CITED BY OTHER ARTICLES:
Dissipationless Anomalous Hall Current in the Ferromagnetic Spinel CuCr2Se4-xBrx.
W.-L. Lee, S. Watauchi, V. L. Miller, R. J. Cava, and N. P. Ong (2004)
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The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space.
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Spin Ice State in Frustrated Magnetic Pyrochlore Materials.
S. T. Bramwell and M. J. P. Gingras (2001)
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