Geometry and the anomalous Hall effet in ferromagnets
N. P. Ong, Wei-Li Lee
TL;DR
This paper discusses the geometric concepts behind the Berry phase and Karplus-Luttinger theory to explain the anomalous Hall effect in ferromagnets, supported by recent experimental evidence.
Contribution
It provides an elementary review of geometric ideas and recent experimental results that highlight the role of the Karplus-Luttinger velocity term in ferromagnetic materials.
Findings
Berry phase and geometric ideas underpin the anomalous Hall effect
Recent experiments support the dominance of the KL velocity term
The paper clarifies the theoretical and experimental understanding of the effect
Abstract
The geometric ideas underlying the Berry phase and the modern viewpoint of Karplus and Luttinger's theory of the anomalous Hall effect are discussed in an elementary way. We briefly review recent Hall and Nernst experiments which support the dominant role of the KL velocity term in ferromagnets.
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