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We investigate the charge conductivity and current-induced spin polarizationon the surface state of a three-dimensional topological insulator by includingthe hexagonal warping effect of Fermi surface both in classical and quantumdiffusion regimes. We present general expressions of conductivity and spinpolarization, which are reduced to simple forms for usual scattering potential.Due to the hexagonal warping, the conductivity and spin polarization show anadditional quadratic carrier density dependence both for Boltzmann contributionand quantum correction. In the presence of warping term, the surface statesstill reveal weak anti-localization. Moreover, the dielectric function in therandom phase approximation is also explored, and we find that it may bemomentum-angle-dependent.

Hexagonal Warping Effects on the Surface Transport in Topological Insulators