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Optimal inhomogeneity for superconductivity

E. Arrigoni, S. A. Kivelson

DOI 10.1103/PhysRevB.68.180503 · Physical Review B

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Abstract

We study the effect of nonuniform transverse couplings on a quasi-one-dimensional superconductor. We show that inhomogeneous couplings quite generally increase the superconducting (pairing) gap relative to the uniform system, but that beyond an “optimal” degree of inhomogeneity, they lead to a suppression of the tendency towards phase coherence. The optimal conditions for superconductivity are derived. We also show that a delocalized, spin-gapped phase is stable against weak disorder in a four-leg ladder with moderate repulsive interactions.

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