Superconductivity in hyperbolic spaces: Cayley trees, hyperbolic continuum, and BCS theory

Mykhailo Pavliuk, Tomáš Bzdušek, Askar Iliasov

We investigate $s$-wave superconductivity in negatively curved geometries, focusing on Cayley trees and the hyperbolic plane. Using a self-consistent Bogoliubov-de Gennes approach…