Anomalous Hall effect in Weyl semimetals


  Yonatan Messica [1]  ,  P. M. Ostrovsky [2,3]  ,  D.B. Gutman [1]  
[1] Department of Physics, Bar-Ilan University, Ramat-Gan
[2] Max Planck Institute for Solid State Research, Stuttgart
[3] D. Landau Institute for Theoretical Physics RAS, Moscow

Time-reversal symmetry breaking Weyl semimetals are expected to exhibit the anomalous Hall effect by several mechanisms: most famously due to non-vanishing Berry-curvature of the Fermi-bulk electrons [1], but also due to Fermi-sea contributions. We study the anomalous Hall conductivity in a minimal Weyl-semimetal model for different types of static disorder, using the diagrammatic approach. We find an overlooked contribution due to scattering off rare proximate impurity pairs, obtained by going beyond the non-crossing approximation. For the extrinsic disorder-dependent contribution, we find that this dependence can be characterized by two scattering lengths, whose magnitude and relative difference both enhance the anomalous Hall conductivity.

 

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[1] A. A. Burkov and L. Balents, Phys. Rev. Lett. 107, 127205 (2011)