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We study theoretically the proximity effect between ferromagnets (F) andsuperconductors (S) with broken time-reversal symmetry (${\cal T}$). A chiral$(p_x\pm ip_y)$-wave, and a $d_{x^2-y^2}$-wave superconductor, the latter ofwhich can form ${\cal T}$-breaking surface state, i.e., $(d_{x^2-y^2} \pmis)$-state, are considered for the S side. The spatial variations of thesuperconducting order parameters and the magnetization are determined bysolving the Bogoliubov de Gennes equation. In the case of a chiral $(p_x\pmip_y)$-wave superconductor, a spontaneous spin current flows along theinterface, but not in the case of a $d_{x^2-y^2}$-wave superconductor. ForF/S$(p_x+ip_y)$/F trilayer system, total spin current can be finite while totalcharge current vanishes, if the magnetization of two F layers are antiparallel.Comment: 6 pages, 11 figures. Accepted for publication in Physical Review

Spontaneous spin current near the interface between unconventional superconductors and ferromagnets