Microscopic study of inhomogeneous superconductors
K. Tanaka, F Marsiglio
TL;DR
This paper investigates how quantum confinement, surfaces, and impurities affect superconductivity in inhomogeneous materials using self-consistent and BCS formalisms.
Contribution
It compares the self-consistent Bogoliubov-de Gennes approach with the Anderson prescription to analyze inhomogeneity effects on superconductivity.
Findings
Quantum confinement significantly alters superconducting properties.
Surface and impurity effects lead to spatial variations in the order parameter.
Comparison shows differences between self-consistent and BCS-based approaches.
Abstract
We study various inhomogeneity effects on superconductivity as due to quantum confinement, surfaces and impurities, using the self-consistent Bogoliubov-de Gennes formalism on the attractive Hubbard model. The results are also compared with those obtained from the Anderson prescription, a BCS formalism for incorporating spatial inhomogeneity.
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