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

Jinwu Ye; Yong Baek Kim; A. J. Millis; B. I. Shraiman; P. Majumdar; Z. Tešanović

doi:10.1103/PhysRevLett.83.3737

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

Jinwu Ye, Yong Baek Kim, A. J. Millis, B. I. Shraiman, P. Majumdar, and Z. Tešanović

Phys. Rev. Lett. 83, 3737 – Published 1 November 1999

Abstract

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 nontrivial 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.

Received 3 May 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.3737

Authors & Affiliations

Jinwu Ye¹, Yong Baek Kim², A. J. Millis³, B. I. Shraiman⁴, P. Majumdar⁵, and Z. Tešanović¹

¹Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218
²Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802
³Department of Physics, Rutgers University, Piscataway, New Jersey 08854
⁴Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974
⁵Mehta Research Institute, Chatnag Road, Jhus, Allahabad, India 221-506