Dynamics of the normal-superconductor phase transition and the puzzle of the Meissner effect

Abstract

The analisis of Pippard \cite{pip} for the growth of the normal phase into the superconducting phase in the presence of a magnetic field $H>H_c$ is applied in reverse to the case $H<H_c$ ($H_c=$critical magnetic field). We carry out the analysis both for a planar and a cylindrical geometry. As the superconducting phase grows into the normal phase, a supercurrent is generated at the superconductor-normal phase boundary that flows in direction opposite to the Faraday electric field resulting from the moving phase boundary. This supercurrent motion is in direction opposite to what is dictated by the Lorentz force on the current carriers, and in addition requires that mechanical momentum of opposite sign be tranferred to the system as a whole to ensure momentum conservation. In the cylindrical geometry case, a macroscopic torque of unknown origin acts on the body as a whole as the magnetic field is expelled. We argue that the conventional BCS-London theory of superconductivity cannot explain these facts, and that as a consequence the Meissner effect remains unexplained within the conventional theory of superconductivity. We propose that the Meissner effect can only be understood by assuming that there is motion of charge in direction perpendicular to the normal-superconductor phase boundary and point out that the unconventional theory of hole superconductivity describes this physics

Discussion of cylindrical geometry added

References in corpus (5)

• Spin Meissner Effect in Superconductors and the Origin of the Meissner Effect
• Do superconductors violate Lenz's law? Body rotation under field cooling and theoretical implications
• Kinetic energy driven superconductivity, the origin of the Meissner effect, and the reductionist frontier
• Charge expulsion, Spin Meissner effect, and charge inhomogeneity in superconductors
• Kinetic energy driven superfluidity and superconductivity and the origin of the Meissner effect

Cited by in corpus (12)

• Neutron Stars in the Laboratory
• Momentum of superconducting electrons and the explanation of the Meissner effect
• On the reversibitity of the Meissner effect and the angular momentum puzzle
• The disappearing momentum of the supercurrent in the superconductor to normal phase transformation
• Entropy generation and momentum transfer in the superconductor-normal and normal-superconductor phase transformations and the consistency of the conventional theory of superconductivity
• On the dynamics of the Meissner effect
• Joule heating in the normal-superconductor phase transition in a magnetic field
• Thermodynamic inconsistency of the conventional theory of superconductivity
• Does the Meissner effect violate the second law of thermodynamics? Comment on "The Law of Entropy Increase and the Meissner Effect" by A. Nikulov
• The Bohr superconductor
• Why only hole conductors can be superconductors
• What holes in superconductors reveal about superconductivity