Transversal magnetoresistance in Weyl semimetals

We explore theoretically the magnetoresistivity of three-dimensional Weyl and Dirac semimetals in transversal magnetic fields within two alternative models of disorder: (i) short-range impurities and (ii) charged (Coulomb) impurities. Impurity scattering is treated using the self-consistent Born approximation. We find that an unusual broadening of Landau levels leads to a variety of regimes of the resistivity scaling in the temperature-magnetic field plane. In particular, the magnetoresistance is nonmonotonous for the white-noise disorder model. For H arrow right 0 the magnetoresistance for short-range impurities vanishes in a nonanalytic way as H1/3. In the limits of strongest magnetic fields H, the magnetoresistivity vanishes as 1/H for pointlike impurities, while it is linear and positive in the model with Coulomb impurities.