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Meissner-London currents in superconductors with rectangular cross section.

E H Brandt1, G P Mikitik

  • 1Max-Planck-Institut für Metallforschung, D-70506 Stuttgart, Germany.

Physical Review Letters
|November 1, 2000
PubMed
Summary
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Exact analytic solutions reveal how magnetic fields and currents behave in superconductor strips. Surface currents concentrate at corners, potentially influencing vortex entry and enhancing nonlinear effects in d-wave superconductors.

Area of Science:

  • Condensed matter physics
  • Superconductivity theory

Background:

  • The Meissner state describes superconductors expelling magnetic fields.
  • Understanding current distribution is crucial for superconductor applications.
  • Vortex penetration affects superconducting properties.

Purpose of the Study:

  • To derive exact analytic solutions for magnetic moments and screening currents in superconductor strips.
  • To develop a numerical method for finite London penetration depth.
  • To investigate the impact of corner currents on vortex penetration.

Main Methods:

  • Exact analytical solutions for magnetic moment and screening currents.
  • Numerical method for finite London penetration depth, applicable to strips and disks.
  • Analysis of surface current behavior at specimen corners.

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Main Results:

  • Analytic solutions obtained for magnetic moment and screening currents in the Meissner state.
  • A numerical method successfully extended solutions to finite London penetration.
  • Surface current divergence at corners (l^-1/3) identified.

Conclusions:

  • Corner current enhancement may lower the vortex penetration barrier.
  • This effect could increase the nonlinear Meissner effect in d-wave superconductors.
  • The findings offer insights into superconductor behavior under magnetic fields and currents.