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Volumn 80, Issue 13, 2009, Pages

Effective spin-flip scattering in diffusive superconducting proximity systems with magnetic disorder

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EID: 70749112235     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.134501     Document Type: Article
Times cited : (21)

References (53)
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    • The energy E in condition d2 is the characteristic energy of electrons in the problem. For finite-temperature calculations, this energy scale may be determined by temperature.
    • The energy E in condition is the characteristic energy of electrons in the problem. For finite-temperature calculations, this energy scale may be determined by temperature.
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    • In the most anisotropic case, the spin-flip matrix is described by 6 independent parameters. Depending on the symmetry of the problem, the number of parameters may be smaller, e.g., in the most symmetric isotropic case, the spin-flip matrix is diagonal and described by one scattering time. In the case of a ferromagnetic order, when disorder is anisotropic (one axis is special), the spin-flip rates in the directions along the ferromagnetic axis and perpendicular to it may be different: in this case, two scattering times would be necessary (Refs.).
    • In the most anisotropic case, the spin-flip matrix is described by 6 independent parameters. Depending on the symmetry of the problem, the number of parameters may be smaller, e.g., in the most symmetric isotropic case, the spin-flip matrix is diagonal and described by one scattering time. In the case of a ferromagnetic order, when disorder is anisotropic (one axis is special), the spin-flip rates in the directions along the ferromagnetic axis and perpendicular to it may be different: in this case, two scattering times would be necessary (Refs.).
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    • Note that although we can use the Matsubara technique, which is standard in the case of replicas, here we choose the real-energy description.
    • Note that although we can use the Matsubara technique, which is standard in the case of replicas, here we choose the real-energy description.
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