The Meissner effect is studied by using an approach based on Newton and Maxwell's equations. The objective is to assess the relevance of London's equation and shed light on the connection between the Meissner and skin effects. The properties of a superconducting cylinder, cooled in a magnetic field, are accounted for within the same framework. The radial Hall effect is predicted. The energy, associated with the Meissner effect, is calculated and compared with the binding energy of the superconducting phase with respect to the normal one.
"Comparative Study of the Meissner and Skin Effects in Superconductors," Progress In Electromagnetics Research M,
Vol. 69, 69-76, 2018. doi:10.2528/PIERM18012805
1. Meissner, W. and R. Ochsenfeld, "Ein neuer Effekt bei Eintritt der Supraleitfaehigkeit," Naturwiss., Vol. 21, 787, 1933. doi:10.1007/BF01504252
2. Ashcroft, N. W. and N. D. Mermin, Solid State Physics, Saunders College, 1976.
3. De Gennes, P. G., Superconductivity of Metals and Alloys, Addison-Wesley, Reading, MA, 1989.
4. Schrieffer, J. R., "Theory of Superconductivity," Addison-Wesley, 1993.
5. London, F., Superfluids, Vol. 1, Wiley, 1950.
6. Pippard, A. B., "The surface impedance of superconductors and normal metals at high frequencies," Proc. Roy. Soc. A, Vol. 203, 98, 1950. doi:10.1098/rspa.1950.0128
7. Parks, R. D., Superconductivity, CRC Press, 1969.
13. Henyey, F. S., "Distinction between a perfect conductor and a superconductor," Phys. Rev. Lett., Vol. 49, 416, 1982. doi:10.1103/PhysRevLett.49.416
14. Hashimoto, K., et al., "A sharp peak of the zero-temperature penetration depth at optimal composition in BaFe2(As1−xPx)2," Science, Vol. 336, 1554, 2012. doi:10.1126/science.1219821
15. Gordon, R. T., et al., "Doping evolution of the absolute value of the London penetration depth and superfluid density in single crystals of Ba(Fe1−xCox)2As2," Phys. Rev. B, Vol. 82, 054507, 2010. doi:10.1103/PhysRevB.82.054507
16. Jackson, J. D., Classical Electrodynamics, John Wiley, 1998.