  We investigate the influence of the hexagonal warping on the transport
properties of the topological insulators. We study the charge conductivity
within Kubo formalism in the first Born approximation using low energy
expansion of the Hamiltonian near the Dirac point. The effects of disorder,
magnetic field and chemical potential value are analyzed in details. We found
that the presence of the hexagonal warping effects significantly the
conductivity of the topological insulator. In particular, it gives rise to the
growth of the longitudinal conductivity with the increase of the disorder and
anisotropic anomalous in-plane magnetoresistance. The hexagonal warping also
affects the quantum anomalous Hall effect and anomalous out-of-plane
magnetoresistance. The obtained results are consistent with the experimental
data.

Mesoscale and Nanoscale Physics