Spontaneous spin current near the interface between unconventional superconductors and ferromagnets release_fextr6v5jzbivd4ozwxcz3x6n4

Abstract

We study theoretically the proximity effect between ferromagnets (F) and superconductors (S) with broken time-reversal symmetry ( T). A chiral (p_x± ip_y)-wave, and a d_x^2-y^2-wave superconductor, the latter of which can form T-breaking surface state, i.e., (d_x^2-y^2± is)-state, are considered for the S side. The spatial variations of the superconducting order parameters and the magnetization are determined by solving the Bogoliubov de Gennes equation. In the case of a chiral (p_x± ip_y)-wave superconductor, a spontaneous spin current flows along the interface, but not in the case of a d_x^2-y^2-wave superconductor. For F/S(p_x+ip_y)/F trilayer system, total spin current can be finite while total charge current vanishes, if the magnetization of two F layers are antiparallel.
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