Abstract
It is suggested that magnetism and superconductivity can coexist at the nanometer scale in heterostructures consisting of complex ferromagnetic and superconducting oxides. The geometry discussed is that of a trilayer where the superconductor is a copper oxide and is sandwiched by two layers of ferromagnets consisting of manganese oxides. The superconductor is assumed to be layered and have a d-wave order parameter. It is shown that the ground state of such nanometer scale heterostructures alternates between ferromagnetic and antiferromagnetic depending on the thickness of the superconductor.
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