Physics – Condensed Matter – Superconductivity
Scientific paper
1998-04-27
Phys. Rev. B 58, 14531 (1998)
Physics
Condensed Matter
Superconductivity
10 Pages (revtex), 6 figures (eps, included), version accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.58.14531
We investigate the magnetic response of normal-metal--superconductor proximity systems for arbitrary concentrations of impurities and at arbitrary temperatures. Using the quasiclassical theory a general linear-response formula is derived which yields a non-local current-field relation in terms of the zero-field Green's functions. Various regimes between clean-limit and (local) dirty-limit response are investigated by analytical methods and by solving the general formula numerically. In the ballistic regime we find that a finite mean free path reduces the non-locality and leads to a stronger screening than in the clean limit even for a mean free path much larger than the system size. Additionally, the range of the kernel describing the non-locality is strongly temperature-dependent in this case. In the diffusive limit we find a cross-over from local to non-local screening, which restricts the applicability of the dirty-limit theory.
Belzig Wolfgang
Bruder Christoph
Fauchere Alban L.
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