Analytic Description of Superconducting-Ferromagnetic Proximity Systems
ORAL
Abstract
We present the exact analytic solution of the Usadel equations for a proximity system made of a superconductor and a ferromagnet in the wide dirty limit, including spin-flip scattering. The solution was found by mathematical analogy to the Jacobi elliptic function description of a classical mechanics system known as the bead on a hoop [1]. We highlight the parallels between the two systems and present an analysis of the solution with special attention to long rage triplet effects and the inverse Fulde-Ferrell-Larkin-Ovchinnikov state. We determine the Josephson critical current and the variation of the critical temperature with spin-flip scattering.\\[4pt] [1] T.E.~Baker and A.~Bill, {\it Am.~J.~Phys.} {\bf 80}, 506 (2012)
*We gratefully acknowledge the support of the National Science Foundation (DMR-0907242), the CSU Long Beach Graduate Research Fellowship, The Research Corporation, and the Army Research Laboratory.
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