Inconsistency of the conventional theory of superconductivity

Abstract

In a process where the temperature of a type I superconductor in a magnetic field changes, the conventional theory of superconductivity predicts that Joule heat is generated and that the final state is independent of the speed of the process. I show that these two predictions cannot be simultaneously reconciled with the laws of thermodynamics. I propose a resolution of this paradox.

Final version. To be published in Europhysics Letters

References in corpus (1)

• Momentum of superconducting electrons and the explanation of the Meissner effect

Cited by in corpus (13)

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• Dynamic processes in superconductors and the laws of thermodynamics
• Joule heating in the normal-superconductor phase transition in a magnetic field
• Interplay between band structure and Hund's correlation to increase T${}_c$ in FeSe
• London moment, London's superpotential, Nambu-Goldstone mode, and Berry connection from many-body wave functions
• Theory of Supercurrent in Superconductors
• Comment on "`Inconsistency of the conventional theory of superconductivity"' by Hirsch J.E
• Belief in thermodynamics has provoked false thermodynamics of superconductors
• Comment on "Reversible superconducting-normal phase transition in a magnetic field and the existence of topologically protected loop currents that appear and disappear without Joule heating" by Hiroyasu Koizumi
• A problem with the conservation law observed in macroscopic quantum phenomena is a consequence of violation of the correspondence principle
• On the dynamics of the Meissner and the Becker-London effects
• A case of thermodynamic failure in the Ginzburg--Landau approach to fluctuation superconductivity
• Comment on "Inconsistency of the conventional theory of superconductivity" by J.E. Hirsch