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Differential conductance spectra are obtained from nanoscale junctions on theheavy-fermion superconductor CeCoIn$_5$ along three major crystallographicorientations. Consistency and reproducibility of characteristic features amongthe junctions ensure their spectroscopic nature. All junctions show a similarconductance asymmetry and Andreev reflection-like conductance with reducedsignal (~ 10%-13%), both commonly observed in heavy-fermion superconductorjunctions. Analysis using the extended Blonder-Tinkham-Klapwijk model indicatesthat our data provide the first spectroscopic evidence for $d_{x^2-y^2}$symmetry. To quantify our conductance spectra, we propose a model byconsidering the general phenomenology in heavy fermions, the two-fluidbehavior, and an energy-dependent density of states. Our model fits to theexperimental data remarkably well and should invigorate further investigations.

Andreev Reflection in Heavy-Fermion Superconductors and Order Parameter Symmetry in CeCoIn_5