J.-B. Bru and W. de Siqueira Pedra
Microscopic Foundations of the Meissner Effect -- Thermodynamic Aspects
(404K, pdf)
ABSTRACT. We analyze the Meissner effect from first principles of quantum
mechanics. We show in particular the existence of superconducting states
minimizing the magnetic free--energy of a BCS--like model and carrying
surface currents which annihilate the total magnetic induction inside the
bulk in the thermodynamic limit. This study is a step towards a complete
explanation of the Mei{\ss }ner effect from a microscopic model. It remains indeed to prove that those states are dynamically stable, i.e.,
quasi--stationary at low temperatures. Note that our analysis shows that the Meissner effect is not necessarily related to an effective magnetic
susceptibility equal to $-1$.