  We develop covariant chiral kinetic theory with Landau level basis. We use it
to investigate a magnetized plasma with a transverse electric field and a
steady vorticity as perturbations. After taking into account vacuum shift in
the latter case, we find the resulting current and stress tensor in both cases
can be matched consistently with constitutive equations of
magnetohydrodynamics. We find the solution in the vorticity case contains both
shifts in temperature and chemical potential as well as excitations of the
lowest Landau level states. The solution gives rise to an vector charge density
and axial current density. The vacuum parts coming from both shifts and
excitations agree with previous studies and the medium parts coming entirely
from excitations leads to a new contribution to vector charge and axial current
density consistent with standard chiral vortical effect.

Nuclear Theory;Mesoscale and Nanoscale Physics;High Energy Physics - Phenomenology