Chiral pumping effect induced by rotating electric fields

We propose an experimental setup using 3D Dirac semimetal to access a novel phenomenon induced by chiral anomaly. We show that the combination of a magnetic field and an axial-vector field induces a shift in the charge density from neutrality with an accompanying axial current. One way to induce the axial-vector field is to use circularly polarized laser that breaks time-reversal symmetry and the Dirac point splits into two Weyl points, which is robust even for massive fermions. We demonstrate this with the help of the Floquet theory by deriving an effective Hamiltonian for high-frequency electric fields. This chiral pumping effect with the axial-vector field is a phenomenon reminiscent of the chiral magnetic effect due to the chiral chemical potential. We compute the pumped density and the axial-current expectation value which is related to spin polarization, and finally discuss detection possibilities.