Axial Current Generation from Electric Field: Chiral Electric Separation Effect

Understand

We study a relativistic plasma containing charged chiral fermions in an external electric field.

• We show that with the presence of both vector and axial charge densities, the electric field can induce an axial current along its direction and thus cause chirality separation.
• We call it the Chiral Electric Separation Effect (CESE).
• On very general basis, we argue that the strength of CESE is proportional to $\mu_V\mu_A$ with $\mu_V$ and $\mu_A$ the chemical potentials for vector charge and axial charge.