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We study the ground state properties of a ferromagnet-superconductorheterostructure on the basis of a quasiclassical theory. We have solved theEilenberger equations together with Maxwell's equation fully self-consistentlyand found that due to the proximity effect a Fulde-Ferrel-Larkin-Ovchinnikov(FFLO) like state is realized in such system. Moreover this state hasoscillations of the pairing amplitude in either one or two directions,depending on the exchange splitting and thickness of the ferromagnet. Inparticular, using semiclassical arguments (Bohr-Sommerfeld quantization rule)we show that owing to the presence of the Andreev bound states in theferromagnet, a spontaneous current in the ground state is generated as ahallmark of the FFLO state in the direction parallel to the interface. We alsodiscuss the effects of the the elastic disorder and finite transparency of theinterface on the properties of the $FFLO$ state in the system.Comment: 4 pages, 4 figure

Current-carrying Andreev bound states in a superconductor-ferromagnet proximity system