Effect of trivial bands on chiral anomaly-induced longitudinal magnetoconductivity in Weyl semimetals

Abstract

Including the effect of the trivial band near Weyl nodes, we evaluate the longitudinal magnetoconductivity (LMC) of Weyl semimetals along the magnetic field direction using the Boltzmann magnetotransport theory, and study its dependence on the magnetic field, Fermi energy, and temperature. We find that for weak internode and node-trivial band scatterings, the LMC is quadratic in the magnetic field and is inversely proportional to the fourth power of the Fermi energy at high densities due to internode scatterings, and to the square of the Fermi energy at low densities due to scatterings between a Weyl node and the trivial band. In the case of strong internode and nodetrivial band scatterings, the magnetic field-driven anisotropy induced by the phase-space volume element and the orbital magnetic moment cannot be neglected. As a result, the LMC exhibits a significantly different trend compared to that in the weak internode and node-trivial band scattering limit. Finally, we calculate the temperature dependence of the LMC in the strong inelastic scattering limit and obtain its asymptotic behaviors at low and high temperatures, respectively, demonstrating that the temperature dependence is strongly affected by the existence of the trivial band.