Shape effects in magnetic superconductors

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Abstract
Within the framework of a recent molecular-field theory of magnetic superconductors, we analyze shape effects in magnetic superconductors. For ellipsoidal ferromagnetic superconductors we show the following: (a) Spontaneous magnetization develops in the direction of minimum demagnetization factor; (b) the upper transition temperature for coexistence of ferromagnetism and superconductivity is a monotonically decreasing function of the demagnetization factor; (c) the lower transition temperature for coexistence may disappear, or the transition may become continuous if the demagnetization factor is sufficiently large; and (d) the directional dependence of the upper and lower critical fields is drastically different from that found in ordinary type-II superconductors.

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