Journal of Low Temperature Physics

, Volume 3, Issue 2, pp 123–135 | Cite as

The onset of surface superconductivity

  • Hartwig Schmidt
  • Hans-Jürgen Mikeska


The onset of superconductivity due to fluctuations of the order parameter is investigated in the presence of a surface. The onset of the Meissner effect is calculated in close analogy to the Landau diamagnetism of a free-electron gas, both phenomena being due to surface currents. In the framework of the static Ginzburg-Landau theory the current density induced by a magnetic field parallel to the surface is calculated as function of the distance from the surface. It is shown that for magnetic fields above the surface-nucleation fieldHc3 the integrated current density is the same for the two boundary conditions of vanishing order parameter and vanishing order-parameter derivative at the surface, and leads to the bulk expression for the fluctuation magnetization. Using the time-dependent Ginzburg-Landau theory, the dynamical conductivity in the surface sheath is calculated. Apart from numerical factors of order unity, the surface-sheath conductivity is found to diverge on approachingTc3 in the same manner as the conductivity of a thin film diverges on approaching the bulk transition temperature, and is isotropic in contrast to the bulk case in the presence of a magnetic field.


Field Parallel Bulk Transition Meissner Effect Magnetic Field Parallel Fluctuation Magnetization 
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Copyright information

© Plenum Publishing Corporation 1970

Authors and Affiliations

  • Hartwig Schmidt
    • 1
  • Hans-Jürgen Mikeska
    • 2
  1. 1.Physik-DepartmentTechnische Hochschule MünchenMünchenGermany
  2. 2.Institut Max von Laue-Paul LangevinGarching bei MünchenGermany

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