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Berry Phase Theory of the Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites

1999; American Physical Society; Volume: 83; Issue: 18 Linguagem: Inglês

10.1103/physrevlett.83.3737

1092-0145

Jinwu Ye, Yong Baek Kim, Andrew J. Millis, Boris I. Shraiman, Pinaki Majumdar, Zlatko Tešanović,

Advanced Condensed Matter Physics

We show that the Anomalous Hall Effect (AHE) observed in Colossal Magnetoresistance Manganites is a manifestation of Berry phase effects caused by carrier hopping in a non-trivial spin background. We determine the magnitude and temperature dependence of the Berry phase contribution to the AHE, finding that it increases rapidly in magnitude as the temperature is raised from zero through the magnetic transition temperature T_c, peaks at a temperature $T_{max} > T_c$ and decays as a power of T, in agreement with experimental data. We suggest that our theory may be relevant to the anomalous hall effect in conventional ferromagnets as well.