Meissner - London state in superconductors of different shapes

ORAL

Abstract

The distributions of vector magnetic fields inside and outside the superconducting samples of different shapes was calculated numerically with high precision by solving Maxwell-London equations by using a full three - dimensional adaptive finite element method. While the ellipsoids reproduce exact analytical solutions, the results for cuboids and finite thickness discs (cylinders) are novel. The solutions are explored for different aspects of sample geometry (i.e., shape, aspect ratio, corner sharpness, orientation of magnetic field etc. and London penetration depth. By analyzing volume magnetic susceptibility we provide new phenomenological formulas for demagnetization correction (quite different from the previous attempts to describe non-ellipsoidal shapes). Indeed, the same formulas can be used for uniformly magnetized magnetic samples. The results of this study are of great practical importance for the analysis of actual magnetic measurements.

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Presenters

  • Ruslan Prozorov

    Ames Lab, Iowa State University and Ames Laboratory, Ames Laboratory and Department of Physics & Astronomy, Iowa State University, Ames Laboratory, Ames Laboratory and Iowa state University, Ames Laboratory U.S. DOE and Department of Physics and Astronomy, Iowa State University

Authors

  • Ruslan Prozorov

    Ames Lab, Iowa State University and Ames Laboratory, Ames Laboratory and Department of Physics & Astronomy, Iowa State University, Ames Laboratory, Ames Laboratory and Iowa state University, Ames Laboratory U.S. DOE and Department of Physics and Astronomy, Iowa State University

  • Makariy Tanatar

    Iowa State University and Ames Laboratory, Ames Laboratory and Department of Physics & Astronomy, Iowa State University, Ames Laboratory, Ames Laboratory and Iowa state University, Iowa State University

  • Kyuil Cho

    Ames Laboratory and Department of Physics & Astronomy, Iowa State University, Ames Laboratory, Ames Laboratory and Iowa state University

  • Naufer Nusran

    Ames Lab, Ames Laboratory

  • Kamal Joshi

    Ames Lab, Ames Laboratory

  • Erik Timmons

    Iowa State University and Ames Laboratory, Ames Laboratory and Department of Physics & Astronomy, Iowa State University, Ames Laboratory, Ames Laboratory U.S. DOE and Department of Physics and Astronomy, Iowa State University