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Classical Mechanical Analogies in Wide Dirty SFS Junctions

Abstract

The Usadel equation in a bulk superconductor and a ferromagnet is noticed to be mathematically similar to the equation of motion of a pendulum. A solution technique developed to solve the classic pendulum is applied to analytically determine the order parameter of the singlet state in a superconductor-ferromagnet-superconductor (SFS) trilayer with a constant, uniform exchange field.

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Acknowledgements

We gratefully acknowledge the support of the National Science Foundation (DMR-0907242), the Phillip J. Ord Scholarship, the CSU Long Beach Graduate Research Fellowship, the Army High Performance Computing Research Center, and organizers and participants for an excellent conference. Travel support has been generously provided by the National Science Foundation grant DMR-1136621 (TEB) and by Argonne National Laboratory (AB).

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Correspondence to Andreas Bill.

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Baker, T.E., Icreverzi, O.E., Richie-Halford, A. et al. Classical Mechanical Analogies in Wide Dirty SFS Junctions. J Supercond Nov Magn 25, 2183–2185 (2012). https://doi.org/10.1007/s10948-012-1646-6

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Keywords

  • Pendulum
  • Superconductor
  • Ferromagnet
  • Green’s functions
  • Usadel equation