1999/05/07 by Jinwu Ye, Yong Baek Kim, Andrew J. Millis +6 · 9 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Rare-earth and actinide compounds #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.83.3737
Discussion of critical behavior revised in light of more accurate numerics of Holm and Janke (now cited as Ref 16). We thank R. Fisch for drawing our attention to this work. Minor aspects of presentation clarified and references slighly modified
arxiv created 1999/05/07 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Tc, peaks at a temperature Tmax>Tc, 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.