Towards a microscopic theory for metallic heavy-fermion point contacts

The bias-dependent resistance R(V) of NS-junctions is calculated using the Keldysh formalism in all orders of the transfer matrix element. We present a compact and simple formula for the Andreev current that results from the coupling of electrons and holes on the normal side via the anomalous Green's function on the superconducting side. Using simple BCS Nambu-Green's functions the well-known Blonder-Tinkam-Klapwijk theory can be recovered. Incorporating the energy-dependent quasi-particle lifetime of the heavy fermions strongly reduces the Andreev-reflection signal.