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.
*This work was supported by the US DOE, Office of Science, BES Materials Science and Engineering Division under contract #DE-AC02-07CH11358.
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Presenters
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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