Quantum oscillations in an anisotropic Weyl semimetal in crossed magnetic and electric fields

We calculated the electron spectrum of an anisotropic Weyl semimetal (WSM) in crossed magnetic and electric fields. We showed that the electric field leads to a drastic rearrangement of the Landau bands. At a certain magnitude of the electric field, a complete collapse of the Landau levels occurs, but the motion along the magnetic field does not vanish, in contrast to the isotropic case. We obtained analytical expressions for quantum capacitance for the cases of weak and strong electric fields. We predicted a new phase transition between the type-I and type-II phases of WSMs induced by an electric field. At the electric field magnitude corresponding to this transition, the density of states has a singularity, as expected for the Lifshitz phase transitions. Using the Falkovsky approach, we showed that the Berry phase for an anisotropic WSM with a tilted spectrum near the Weyl point is equal to pi. Then the quasiclassical approach leads exactly to the same spectrum as the microscopic one. Published by AIP Publishing.