Local modulations of the spin-fluctuation mediated pairing interaction by impurities in d-wave superconductors

Abstract

We present a self-consistent real space formulation of spin-fluctuation mediated d-wave pairing. By calculating all relevant inhomogeneous spin and charge susceptibilities in real space within the random phase approximation (RPA), we obtain the effective pairing interaction and study its spatial dependence near both local potential and hopping impurities. A remarkably large enhancement of the pairing interaction may be obtained near the impurity site. We discuss the relevance of our result to inhomogeneities observed by scanning tunneling spectroscopy on the surface of cuprate superconductors.

8 pages, 7 figures

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• From immunity to sudden death: Effects of strong disorder in strongly correlated superconductors
• Robustness of quantum critical pairing against disorder
• Disorder-Induced Electronic Nematicity
• Disorder and Zeeman coupling induced gap-filling states in the nodeless chiral superconducting Bi/Ni bilayer system
• Quantitative characterization of the nanoscale local lattice strain induced by Sr dopants in La${}_{1.92}$Sr${}_{0.08}$CuO${}_4$
• Inhomogeneity, Fluctuations, and Gap Filling in Overdoped Cuprates
• Modulations of the local pairing interaction near magnetic impurities in d-wave superconductors
• Surface density of states in superconductors with inhomogeneous pairing constant: Analytical results
• Phase diagram of the isovalent phosphorous-substituted 122-type iron pnictides
• The Low-Temperature Phenomenology of Gap Inhomogeneity in the Cuprate Superconductors: High-Energy Granularity, Low-Energy Homogeneity, and Spectral Kinks
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