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We investigate the effect of a ferromagnetic dot on a thin-filmsuperconductor. We use a real-space method to solve the linearizedGinzburg-Landau equation in order to find the upper critical field, H_c_3. Weshow that H_c_3 is crucially dependent on dot composition and geometry, and maybe significantly greater than H_c_2. H_c_3 is maximally enhanced when (1) thedot saturation magnetization is large, (2) the ratio of dot thickness to dotdiameter is of order one, and (3) the dot thickness is large

physical review. b, condensed matter

Upper critical field<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>for a thin-film superconductor with a ferromagnetic dot

Upper critical fieldHc3for a thin-film superconductor with a ferromagnetic dot