However these theories do not explain the Meissner effect: the process by which a magnetic field is expelled from the interior of a metal undergoing a transition to the superconducting state. Nor do they provide a dynamical explanation of the London moment generation.
The following papers explain why BCS-London theory can't explain the
and offer an explanation for it:
superconductors expel magnetic field because they expel
The Lorentz force and superconductivity , cond-mat/0305542, Phys.Lett.A 315, 474 (2003).
Superconductors as giant atoms predicted by the theory of hole superconductivity , cond-mat/0301611 , Phys.Lett.A 309, 457 (2003).
Superconductors as giant atoms: qualitative aspects , cond-mat/0305574 (2003), AIP Conf. Proc. 695(1) 21 (17 Dec 2003).
Do superconductors violate Lenz's law? Body rotation under field cooling and theoretical implications, Phys.Lett. A366, 615 (2007).
Spin Meissner Effect in Superconductors and the Origin of the Meissner Effect , arXiv:0710.0876 (2007), Europhys. Lett. 81, 67003 (2008).
Electrodynamics of spin currents in superconductors , arXiv:0803.1198 (2008), Ann. Phys. (Berlin) 17, 380 (2008).
The missing angular momentum of superconductors , arXiv:0803.2054, (2008), J. Phys. Cond. Matt. 20, 235233 (2008).
BCS theory of superconductivity: it is time to question its validity, Physica Scripta 80 (2009) 035702.
Charge expulsion, Spin Meissner effect, and charge inhomogeneity in superconductors , arXiv:0810.5127, (2008), Journal of Superconductivity and Novel Magnetism 22, 131 (2009).
Explanation of the Meissner Effect and Prediction of a Spin Meissner Effect in Low and High $T_c$ Superconductors, Physica C 470, S955 (2010).
Electromotive forces and the Meissner effect puzzle, Journal of Superconductivity and Novel Magnetism 23, 309 (2010) dx.doi.org/10.1007/s10948-009-0531-4.
Kinetic energy driven superconductivity, the origin of the Meissner effect, and the reductionist frontier, arXiv:1103.3912 (2011), Int. J. Mod. Phys. B 25, 1173 (2011).
Meissner effect, Spin Meissner effect and charge expulsion in superconductors a>, arXiv:1106.5311 (2011), J Supercond Nov Magn 26, 2239 (2013).
Correcting 100 years of misunderstanding: electric fields in superconductors, hole superconductivity, and the Meissner effect, arXiv:1202.1851, J Supercond Nov Magn 25, 1357 (2012).
The origin of the Meissner effect in new and old superconductors , arXiv:1201.0139 (2011), Physica Scripta 85, 035704 (2012).
Kinetic energy driven superfluidity and superconductivity and the origin of the Meissner effect, arXiv:1210.1578, Physica C 493, 18 (2013).
Dynamic Hubbard model: kinetic energy driven charge expulsion, charge inhomogeneity, hole superconductivity, and Meissner effect, arXiv:1302.4178 (2013), Physica Scripta 88, 035704 (2013).
The London moment: what a rotating superconductor reveals about superconductivity, arXiv:1310.3834 (2013), Physica Scripta 89, 015806 (2014).
Dynamics of the normal-superconductor phase transition and the puzzle of the Meissner effect , arxiv: 1504.05190 (2015), Annals of Physics 362, 1 (2015).
On the dynamics of the Meissner effect, arxiv: 1508.03307 (2015), Physica Scripta 91, 035801 (2016).
The disappearing momentum of the supercurrent in the superconductor to normal phase transformation, arxiv:1604.03565 (2016), Europhys. Lett. 114, 57001 (2016) .
On the reversibitity of the Meissner effect and the angular momentum puzzle, arXiv:1604.07443 (2016), Annals of Physics 373, 230 (2016) .
Corrigendum on "On the dynamics of the Meissner effect", arXiv:1609.06299 (2016), Physica Scripta 91, 099501 (2016).
Momentum of superconducting electrons and the explanation of the Meissner effect, arXiv:1609.08451 (2016), Phys. Rev. B 95, 014503 (2017).
Why only hole conductors can be superconductors, Proc. SPIE 10105, Oxide-based Materials and Devices VIII, 101051V (March 7, 2017), arXiv:1703.09777.
Entropy generation and momentum transfer in the superconductor-normal and normal-superconductor phase transformations and the consistency of the conventional theory of superconductivity, arxiv: 1703.04404 (2017), Int. J. Mod. Phys. Vol. 32, 1850158 (2018).
Spinning Superconductors and Ferromagnets, Acta Physica Polonica A 133, 350 (2018)
Moment of inertia of superconductors, arXiv:1808.02857