Multi-band superconductors have enhanced critical temperatures
Mathematical Physics
2024-10-22 v2 Quantum Gases
Superconductivity
math.MP
Abstract
We introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, irrespective of its attractive or repulsive nature and its strength. Further, for weak coupling and weaker inter-band coupling, we prove that the dependence of the increase in critical temperature on the inter-band coupling is (1) linear, if there are two or more equally strongly superconducting bands, or (2) quadratic, if there is only one dominating band.
Keywords
Cite
@article{arxiv.2409.17297,
title = {Multi-band superconductors have enhanced critical temperatures},
author = {Joscha Henheik and Edwin Langmann and Asbjørn Bækgaard Lauritsen},
journal= {arXiv preprint arXiv:2409.17297},
year = {2024}
}
Comments
18 pages; v2: small corrections and adjustments