  Materials that can host macroscopic persistent current are important because
they are useful for energy storage. However, there are very few examples of
such materials in nature. Superconductors are known as an example in which flow
of supercurrent can persist up to 100,000 years. The chiral magnetic current is
possibly the second example predicted by the chiral magnetic effect. It was
proposed to be realized in recently discovered Weyl semimetals. However, a
no-go theorem negates the chiral magnetic effect and shows that the chiral
magnetic current is generally absent in any equilibrium condensed-matter
system. Here we show how to break the no-go theorem by resorting to dynamical
transitions in time-frequency space. By driving an insulator using a
time-periodic potential and coupling it to a phonon heat bath that provides
suitable dissipation, we show that a Floquet-Weyl semi-metallic phase with
Fermi-Dirac-like distribution emerges. Furthermore, we show that even in the
presence of a static magnetic field, the resulting steady Floquet-Weyl
semimetal supports non-vanishing chiral magnetic current. Our dynamical model
provides a systematic way to fully realize the chiral magnetic effect in
condensed matter systems.
