Zero phase difference supercurrent in ferromagnetic Josephson junctions

Abstract

We analyse both analytically and numerically a ballistic ferromagnetic Josephson junctionwith spin active interfaces, focusing on the zero phase difference supercurrent that appearswhen the magnetizations of the intermediate layer and the interfaces form a non-coplanarset of vectors. We claim that the presence of even one magnetization vector in thesystem breaks the time reversal invariance of the Hamiltonian, which can leadto a zero phase difference supercurrent, unless the symmetry is restored by acombination of time reversal and a rotational symmetry. This is the case when themagnetizations of the junction form a coplanar set of vectors. We also derive a new formulafor the equilibrium supercurrent which is a generalization of our previous work.