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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

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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.