Chiral kinetic theory of anomalous transport induced by torsion

In twisted Weyl semimetals, there are two different kinds of chirality: i) the (coordinate-space)
the shape of the twisted crystal is chiral, and ii) the momentum space contains chiral quasi-particles.
Here we construct a general kinetic theory of anomalous transport using the phase space (coordinate and momentum spaces combined) Berry curvature induced by torsion in Weyl semimetals.
We describe how the torsion generates the chiral chemical potential, and thus leads to the Chiral
Magnetic Effect (CME) in the presence of a background magnetic field. We propose to measure
the CME current induced by the torsion as a way to detect the anomalous coupling between the
coordinate-space and momentum-space chiralities.