Chiral electric separation effect in Weyl semimetals

We study the chiral electric separation effect (CESE) in Weyl semimetals (WSM). Within the model based on the kinetic equation we show that there is a nonzero chirality current in external electric and magnetic fields. We distinguish longitudinal, in-plane transverse, and Hall components of the CESE. It is shown that the first two components are quadratic in electric field and linear in magnetic field, while the Hall component is quadratic in both the electric and magnetic fields. All three are due to the chiral anomaly. In WSMs the chirality current can be associated with the bulk spin density.