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Non-collinear antiferromagnets and the anomalous Hall effect


Felser,  C.
Claudia Felser, Inorganic Chemistry, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Kübler, J., & Felser, C. (2014). Non-collinear antiferromagnets and the anomalous Hall effect. EPL, 108(6): 67001, pp. 1-5. doi:10.1209/0295-5075/108/67001.

The anomalous Hall effect is investigated theoretically by employing density functional calculations for the non-collinear antiferromagnetic order of the hexagonal compounds Mn3Ge and Mn3Sn using various planar triangular magnetic configurations as well as unexpected non-planar configurations. The former give rise to anomalous Hall conductivities (AHC) that are found to be extremely anisotropic. For the planar cases the AHC is connected with Weyl points in the energy-band structure. If this case were observable in Mn3Ge, a large AHC of about sigma(zx) approximate to 900 (Omega cm)(-1) should be expected. However, in Mn3Ge it is the non-planar configuration that is energetically favored, in which case it gives rise to an AHC of sigma(xy) approximate to 100 (Omega cm)(-1). The non-planar configuration allows a quantitative evaluation of the topological Hall effect that is seen to determine this value of sxy to a large extent. For Mn3Sn it is the planar configurations that are predicted to be observable. In this case the AHC can be as large as sigma(yz) approximate to 250 (Omega cm)(-1). Copyright (C) EPLA, 2014