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Inhomogeneous order-parameter suppression in disordered d-wave superconductors

W. A. Atkinson·P. J. Hirschfeld·A. H. MacDonald
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Abstract

We report on a numerical study of disorder effects in 2D d-wave BCS superconductors. We compare exact numerical solutions of the Bogoliubov-deGennes (BdG) equations for the density of states $ρ(E)$ with the standard T-matrix approximation. Local suppression of the order parameter near impurity sites, which occurs in self-consistent solutions of the BdG equations, leads to apparent power law behavior $ρ(E) \sim |E|^α$ with non-universal $α$ over an energy scale comparable to the single impurity resonance energy $Ω_0$. We show that the novel effects arise from static spatial correlations between the order parameter and the impurity distribution.

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W. A. Atkinson, P. J. Hirschfeld, A. H. MacDonald. 2000-07-22. Inhomogeneous order-parameter suppression in disordered d-wave superconductors. https://doi.org/10.1103/physrevlett.85.3922

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