Triplet proximity effect in superconducting heterostructures with a half-metallic layer

Abstract

We present the Usadel theory describing the superconducting proximity effect in heterostructures with a half-metallic layer. It is shown that the full spin polarization inside the half-metals gives rise to the giant triplet spin-valve effect in superconductor (S) - ferromagnet (F) - half-metal (HM) trilayers as well as to the ${\phi }_0$-junction formation in the S/F/HM/F/S systems. In addition, we consider the exactly solvable model of the S/F/HM trilayers of atomic thickness and demonstrate that it reproduces the main features of the spin-valve effect found within the Usadel approach. Our results are shown to be in a qualitative agreement with the recent experimental data on the spin-valve effect in $MoGe/Cu/Ni/Cr{\mathrm{O}}_2$ hybrids [A. Singh et al., Phys. Rev. X 5, 021019 (2015)].

10 pages, 5 figures

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