Title: Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals,
Abstract: We explore theoretically the magnetoresistance of Weyl semimetals in
transversal magnetic fields away from charge neutrality. The analysis within
the self-consistent Born approximation is done for the two different models of
disorder: (i) short-range impurties and (ii) charged (Coulomb) impurities. For
these models of disorder, we calculate the conductivity away from charge
neutrality point as well as the Hall conductivity, and analyze the transversal
magnetoresistance (TMR) and Shubnikov-de Haas oscillations for both types of
disorder. We further consider a model with Weyl nodes shifted in energy with
respect to each other (as found in various materials) with the chemical
potential corresponding to the total charge neutrality. In the experimentally
most relevant case of Coulomb impurities, we find in this model a large TMR in
a broad range of quantizing magnetic fields. More specifically, in the
ultra-quantum limit, where only the zeroth Landau level is effective, the TMR
is linear in magnetic field. In the regime of moderate (but still quantizing)
magnetic fields, where the higher Landau levels are relevant, the rapidly
growing TMR is supplemented by strong Shubnikov-de Haas oscillations,
consistent with experimental observations.