Magnetotransport in Weyl semimetal with and without disorder and the effect of tilted magnetic field

We investigate the magnetotransport in Weyl semimetal with broken time reversal symmetry. Weyl semimetals, with and without disorder, having different shapes of Fermi arcs are examined. The different shape of Fermi arc surface states are due to two different considerations of model Hamiltonian one with broken inversion symmetry and other with preserved inversion symmetry. We numerically investigate the magnetotransport in z-direction when magnetic field is in the x-direction perpendicular to the Weyl semimetal slab. For the first case with broken inversion symmetry we get two counterpropagating states on each edge i.e. one edge has only n-type states and other has only p-type states. When an electron (hole) reservoir is connected to the slab in z-direction, only n-type (p-type) edge channel passes through the contact for an applied bias. For the second case in which inversion symmetry is preserved we get only p-type states on each edge, propagating in the opposite direction at each edge, very similar to 2D quantum Hall effect. The transverse magnetoconductance azy is an integer multiple of e2/h for both the cases. We numerically investigate the effect of disordered impurity potential on the propagating states along z-direction. The edges states are not very robust in the presence of disorder for the first case but for the second case, edge states can persist upto a certain value of disorder strength. We further investigate the magnetotransport in y-direction with finite boundaries in z-direction for both the cases under the effect of tilted magnetic field. Tilting the magnetic field modifies the number of chiral Landau levels lying on the Fermi level and hence the value of transverse magnetoconductance ayz. The magnetoconductance along z and y directions are due to different shapes of orbits along the z-y edges. The transverse magnetoconductance in y-direction is found to be robust against the disordered impurity potential which may be the signature of quantum Hall effect in 3D. Our research may be helpful in finding Weyl materials with such type of magnetotransport properties.