  Finding signatures of dark matter in transport characteristics of solids
would be an important step on the road to detect this illusive component of the
mass of our Universe. This is especially important and timely as the
experiments designed to directly detect dark matter particles continue to
provide negative results. As a first step in this direction we consider
topologically non-trivial Weyl or Dirac semimetals and derive the modified
kinetic equation taking into account two coupled $U(1)$-gauge fields, one being
the standard Maxwell electromagnetic field and other corresponding to the dark
sector. The resulting Boltzmann kinetic equation is modified by the Berry
curvature which couples to both visible and dark sector gauge fields. It was
revealed that the dark sector induces modifications of transport coefficients
due to the appearance of coupling constant between gauge fields and dark sector
magnetic field.

High Energy Physics - Theory;General Relativity and Quantum Cosmology