# Two No-Go Theorems on Superconductivity

@article{Tada2016TwoNT,
title={Two No-Go Theorems on Superconductivity},
journal={Journal of Statistical Physics},
year={2016},
volume={165},
pages={455-470}
}
• Published 21 May 2016
• Physics
• Journal of Statistical Physics
We study lattice superconductors such as attractive Hubbard models. As is well known, Bloch’s theorem asserts absence of persistent current in ground states and equilibrium states for general fermion systems. While the statement of the theorem is true, we can show that the theorem cannot exclude possibility of a surface persistent current. Such a current can be stabilized by boundary magnetic fields which do not penetrate into the bulk region of a superconductor, provided emergence of massive…
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