  A heterostructure consisting of a magnetic Weyl semimetal and a conventional
superconductor exhibits an equilibrium current parallel to the superconductor
interface and perpendicular to the magnetization. Analyzing a minimal model,
which as a function of parameters may be in a trivial magnetic insulator phase,
a Weyl semimetal phase, or a three-dimensional weak Chern insulator phase, we
find that the equilibrium current is sensitive to the presence of surface
states, such as the topological Fermi-arc states of the Weyl semimetal or the
chiral surface states of the weak Chern insulator. While there is a nonzero
equilibrium current in all three phases, the appearance of the surface states
in the topological regime leads to a reversal of the direction of the current,
compared to the current direction for the trivial magnetic insulator phase. We
discuss the interpretation of the surface-state contribution to the equilibrium
current as a real-space realization of the superconductivity-enabled
equilibrium chiral magnetic effect of a single chirality, predicted to occur in
bulk Weyl superconductors.
