Meissner-London Currents in Superconductors with Rectangular Cross Section

Ernst Helmut Brandt; Grigorii P. Mikitik

doi:10.1103/PhysRevLett.85.4164

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Meissner-London Currents in Superconductors with Rectangular Cross Section

Ernst Helmut Brandt, Grigorii P. Mikitik

DOI 10.1103/PhysRevLett.85.4164 · Physical Review Letters

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Abstract

Exact analytic solutions are presented for the magnetic moment and screening currents in the Meissner state of superconductor strips with rectangular cross section in a perpendicular magnetic field and/or with transport current. The extension to finite London penetration is achieved by an elegant numerical method which works also for disks. The surface current in the specimen corners diverges as l−1/3 where l is the distance from the corner. This enhancement reduces the barrier for vortex penetration and should increase the nonlinear Meissner effect in d-wave superconductors.