Josephson effect in spin-singlet superconductor/ferromagnetic insulator/spin-triplet superconductor junctions with helical $p$-wave states

Abstract

We study the Josephson effect in spin-singlet superconductor/helical $p$-wave superconductor junctions with a ferromagnetic barrier using the quasiclassical Green function method. It is found that both $\sin \varphi$-type and $\cos \varphi$-type current-phase relations always exist, irrespective of the gap symmetries in superconductors. The indispensable condition for the $\sin \varphi$-type and $\cos \varphi$-type current is that the magnetization must have a component parallel to the crystallographic $a$ or $b$ axis, which is distinct from the case of $p$-wave superconductor described by a $\vect{d}$-vector with a uniform direction. The relation between the condition and the symmetries of the gap functions is analysed. We investigate in detail the symmetries and the sign reversal of the Josephson current when the magnetization is rotated.

9 pages,7 figures

References in corpus (7)

• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Topological spin-current in non-centrosymmetric superconductors
• Surface bound states and spin currents in non-centrosymmetric superconductors
• Interplay of ferromagnetism and triplet superconductivity in a Josephson junction
• 0-$\pi$ transition in magnetic triplet superconductor Josephson junctions
• Spontaneous spin accumulation in singlet-triplet Josephson junctions
• Origin and control of spin currents in a magnetic triplet Josephson junction

Cited by in corpus (2)

• Symmetry analysis of transport properties in helical superconductor junctions
• Tunable ground states in helical $p$-wave Josephson junctions