Enhancement of superconductivity by local inhomogeneity
Ivar Martin, Daniel Podolsky, Steven A. Kivelson
Abstract
We study the effect of inhomogeneity of the paring interaction or the background potential on the superconducting transition temperature, Tc. In the weak coupling BCS regime, we find that inhomogeneity which is incommensurate with the Fermi surface nesting vectors enhances Tc relative to its value for the uniform system. For a fixed modulation strength we find that the highest Tc is reached when the characteristic modulation length scale is of the order of the superconducting coherence length.
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