6533b857fe1ef96bd12b39b7

RESEARCH PRODUCT

Anomalous Hall Effect

Yuriy MokrousovYuriy Mokrousov

subject

PhysicsCondensed Matter::Materials ScienceGeometric phaseCondensed matter physicsMagnetismHall effectAnisotropyElectronic states

description

The anomalous Hall effect (AHE) is one of the most fundamental, practically important and for a long time most enigmatic phenomena exhibited by magnetic materials. Here, we briefly outline the relation of the anomalous Hall effect to the geometric properties of the electronic states as given by the Berry phase. The Berry phase origins of the AHE lead to its topological manifestations in insulators, which we review in detail based on key examples. In addition to the intrinsic AHE and its anisotropy in solids, we draw a deep correlation of this effect with orbital magnetism and magnetoelectric response, and discuss its emergence in non-collinear magnets.

yearjournalcountryeditionlanguage
2018-01-01
https://doi.org/10.1007/978-3-319-97334-0_6