Quantum confinement renormalizes the superconducting coherence length in thin films through modifications to the electronic density of states and Fermi energy, suppressing the coherence length while enhancing the penetration depth and favoring stronger type-II behavior.
A first attempt based solely on confinement-induced renormalization of the density of states proved insufficient to reproduce the experimental trend
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Ginzburg-Landau Theory for Confined Thin-Film Superconductors
Quantum confinement renormalizes the superconducting coherence length in thin films through modifications to the electronic density of states and Fermi energy, suppressing the coherence length while enhancing the penetration depth and favoring stronger type-II behavior.