Effect of disorder on the transverse magnetoresistance of Weyl semimetals

We study the effect of random potentials created by different types of impurities on the transverse magnetoresistance of Weyl semimetals. We show that the magnetic field and temperature dependence of the magnetoresistance is strongly affected by the type of impurity potential. We analyze in detail two limiting cases: (i) the ultraquantum limit, when the applied magnetic field is so high that only the zeroth and first Landau levels contribute to the magnetotransport, and (ii) the semiclassical situation, for which a large number of Landau levels come into play. A formal diagrammatic approach allowed us to obtain expressions for the components of the electrical conductivity tensor in both limits. In contrast to the oversimplified case of the δ -correlated disorder, the long-range impurity potential (including that of Coulomb impurities) introduces an additional length scale, which changes the geometry and physics of the problem. We show that the magnetoresistance can deviate from the linear behavior as a function of magnetic field for a certain class of impurity potentials.