Josephson supercurrent with spin-equal pairing through a half-metallic link.

Taking into account spin-flip scattering at superconductor/half-metallic ferromagnet (S/F) interfaces in S/F/S Josephson junctions, we extend the Blonder-Tinkham-Klapwijk approach and novel Andreev reflection idea to studying the Josephson current and spatially dependent superconducting order parameters for singlet and triplet pairing states. It is found that the novel Andreev reflection at the F/S interfaces can result in electron-hole correlations in one spin subband of the F and a large supercurrent of spin-equal pairing through a long half-metallic link.