Novel electric field effects on Landau levels in multi-Weyl semimetals

Multi-Weyl semimetals (WSMs) are characterized by anisotropic non-linear dispersion along a 2-D plane and a linear dispersion in an orthogonal direction. They have topological charge 'n' and are produced when two or multiple Weyl points or nodes with nonzero net monopole charge are brought together onto a high-symmetry point. Studied here is a perturbation corrections up to second order of such multi-WSMs in crossed electric (E) and magnetic (B) fields in the low electric field approximation. As a consequence, the n-fold degeneracy of the lowest Landau levels is lifted while the higher one remains unaffected due to the first order perturbation. The higher Landau levels are modified due to the second order perturbation while lowest Landau levels remain unaffected. The signatures of these corrections of electric fields on the density of states (DOS) subjected to a magnetic field have been studied