Gap Inhomogeneities and the Density of States in Disordered d-Wave Superconductors
W. A. Atkinson, P. J. Hirschfeld, A. H. MacDonald
DOI 10.1103/PhysRevLett.85.3922 · Physical Review Letters
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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–de Gennes (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)∼|E|α with nonuniversal α over an energy scale comparable to the single-impurity resonance energy Ω0. We show that the novel effects arise from static spatial correlations between the order parameter and the impurity distribution.
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