  We propose the existence of a substantial charge current parallel to the
interface between a noncentrosymmetric superconductor and a metallic
ferromagnet. Our analysis focuses upon two complementary
orbital-angular-momentum pairing states of the superconductor, exemplifying
topologically nontrivial states which are gapped and gapless in the bulk,
respectively. Utilizing a quasiclassical scattering theory, we derive an
expression for the interface current in terms of Andreev reflection
coefficients. Performing a systematic study of the current, we find stark
qualitative differences between the gapped and gapless superconductors, which
reflect the very different underlying topological properties. For the fully
gapped superconductor, there is a sharp drop in the zero-temperature current as
the system is tuned from a topologically nontrivial to a trivial phase. We
explain this in terms of the sudden disappearance of the contribution to the
current from the subgap edge states at the topological transition. The current
in the gapless superconductor is characterized by a dramatic enhancement at low
temperatures, and exhibits a singular dependence on the exchange-field strength
in the ferromagnetic metal at zero temperature. This is caused by the energy
shift of the strongly spin-polarized nondegenerate zero-energy flat bands due
to their coupling to the exchange field. We argue that the interface current
provides a novel test of the topology of the superconductor, and discuss
prospects for the experimental verification of our predictions.
