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We study the physical properties of a half-metallicferromagnet$\mid$superconductor (HM$\mid$S) bilayer, allowing for an arbitrarybulk pairing symmetry of the superconductor and spin-dependent processes at theinterface. In particular, we study how the possibility of unconventionalpairing such as $p$- and d-wave and a spin-active interface influence the\textit{(i)} conductance spectra, \textit{(ii)} proximity effect, and\textit{(iii)} local density of states of such a bilayer. Our calculation isdone both analytically and numerically in the ballistic limit, using both acontinuum- and lattice-model. It is found that the spin-dependent phase-shiftsoccuring at the HM$\mid$S interface seriously influence all of theaforementioned phenomena. We explain our results in terms of Andreev reflectionin the presence of a spin-active interface, allowing for both spin-filteringand spin-mixing processes. We demonstrate how the surface-bound states inducedby the anisotropy of the superconducting order parameter at the HM$\mid$Sinterface are highly sensitive to these spin-dependent processes. Our resultscan be directly tested experimentally using STM-measurements and/orpoint-contact spectroscopy.

Spin-active interfaces and unconventional pairing in half-metal$\mid$superconductor junctions