Semiclassical anisotropic transport theory in two dimensional pseudo-spin one system

In this paper we calculate the Drude–Boltzmann conductivity for two dimensional pseudo-spin one systems, in the presence of isotropic and anisotropic scattering mechanisms. To this end, we employ the Boltzmann equation in the relaxation time approximation and solve it analytically while taking into account an explicit angular dependence in the transport time. For pseudo-spin independent disorder the conductivity is isotropic. For pseudo-spin dependent scattering, the conductivity can be isotropic or anisotropic, depending on the matrix structure of the potential scattering. We outline possible implications of anisotropic scattering in the theory of quantum transport.