Transversal magnetoresistance in Weyl semimetals

Janina Klier


We explore theoretically the magnetoresistance of Weyl semimetals in transversal magnetic fields within self-consistent Born approximation in two different models of disorder: (i) pointlike impurities and (ii) charge impurities. Away from charge neutrality, we calculate the conductivity as well as the Hall conductivity and analyze the magnetoresistance including the regime where strong Shubnikov-de Haas oscillations are present. This extents the previous consideration of the magnetoresistance at charge neutrality for finite temperature. We further analyze a model of Weyl nodes shifted in energy with respect to each other, as found in various experiments, such that the system is at complete charge neutrality. In the experimentally most relevant case of charged impurities, this model provides a large magnetoresistance in quantizing magnetic fields. In particular, in the ultra quantum limit, where only the zeroth Landau level is present, we find a linear magnetoresistance. In moderate but still quantizing magnetic fields, the magnetoresistance grows rapidly with superimposed strong Shubnikov-de Haas oscillations.