Kinetic equation and magneto-conductance for Weyl metal in the clean limit

Abstract

We discuss the semi-classical kinetic equation in the clean limit, with the presence of Berry curvatures and magnetic field B, with the aim of applying to Weyl semi-metals. Special attention is given to the conservation laws for the collision integrals. It is found that the magneto-resistance second order in B is in general negative, with or without Weyl points, though in the later case it is in general much smaller.