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We show that the peculiarities of the electron band structure strongly affectthe spin-valve effect in heterostructures consisting of a superconductor (S)and two ferromagnetic layers F1 and F2. For the S/F1/F2 systems the energyshift between the electron bands in the S and F2 layers determines wether thecritical temperature $T_c$ of the superconductor increases or decreases as afunction of the angle $\theta$ between the magnetic moments in theferromagnets. In the case of half-metallic F2 layer the type of the spin-valveeffect becomes dependent on the position of the only occupied spin-band and theminimum of $T_c$ may correspond to the anti-parallel, parallel or non-collinearorientations of magnetic moments. Also, for the first time, we analyticallydemonstrate the possibility of the triplet spin-valve effect in theF/S/half-metal structures.

Spin-valve effect in S/F/F and F/S/F structures of atomic thickness