Exploration of large anomalous Hall effect and topological Berry curvature in strongly correlated d- and f-electron magnets

The discovery of new topological states of matter and the effects of topology on the bulk properties of materials has attracted widespread attention [1], as these states are promising candidates for future technological applications such as quantum computing, memory storage, and sensors. While much of the research has focused on the exploration of topological states in materials without strong electronic correlations, these correlations open up new routes to generating novel topological states. For example, competing interactions among the magnetic moments of d- or f-electrons lead to magnetic frustration and often give rise to non-collinear or non-coplanar spin structures. Mobile conduction electrons feel the effects of a large (fictitious) magnetic field when they move in the topological spin texture of these non-collinear and non-coplanar magnets, which gives rise to a large anomalous Hall effect in compounds such as Mn₃Sn [2,3]. In this talk, I discuss our recent work on the exploration of the anomalous Hall effect and topological Berry curvature in a variety of strongly correlated d- and f-electron magnets.
[1] M. Z. Hasan and C. Kane, Rev. Mod. Phys. 82, 3045 (2010)
[2] S. Nakatsuji et al. Nature 527, 212 (2015)
[3] N. H. Sung et al. Appl. Phys. Lett. 112, 132406 (2018)