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Josephson Effect in a Singlet Superconductor-Ferromagnet-Triplet Superconductor Junction
New Phys.: Sae Mulli 2017; 67: 1412~1418
Published online December 29, 2017;
© 2017 New Physics: Sae Mulli.

Chi-Hoon CHOI*

Department of Nanophysics, Gachon University, Seongnam 13120, Korea
Correspondence to:
Received August 18, 2017; Revised September 25, 2017; Accepted October 20, 2017.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the current-phase relation of a ballistic SIFIT junction, consisting of a spin-singlet superconductor (S), an insulating ferromagnetic interface (I), a weak ferromagnetic metal (F), another insulating ferromagnetic interface (I), and a spin-triplet superconductor (T). We use the generalized quasiclassical formalism developed by Millis $et al.$ to compute the current density and the free energy of the junction for arbitrary orientations of the magnetizations of the junction barrier. We investigate in detail the effect of the distribution of magnetization on the various harmonics of the current-phase relation and the transition of the ground state of the junction. A magnetization parallel to the d-vector of the triplet superconductor can lead to an anomalous Josephson current and a transition of the ground state from the $\pi/2$-state to the $3 \pi/2$-state. The $\phi$-state junction can be realized for a noncollinear orientation of the barrier magnetizations in the plane perpendicular to the d-vector. 
PACS numbers: 74.50.+r, 74.20.Rp, 74.45.+c
Keywords: Josephson effect, Superconductor-ferromagnet junction, Spin-triplet superconductor

December 2017, 67 (12)
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