Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session K30: Magnetic Field Effects in Superconductors
8:00 AM–11:00 AM,
Wednesday, March 7, 2018
LACC Room: 406B
Sponsoring Units: DCMP DMP
Chair: Carmen Almasan, Kent State
Abstract: K30.00001 : Meissner - London state in superconductors of different shapes*
8:00 AM–8:12 AM
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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