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Computer Physics Communications

Discretization and solution of the inhomogeneous Bogoliubov–de Gennes equations

Dermot McPeake, J F McCann

Published Jul 20, 2004• 5 citations
Publisher
DOI
10.1016/j.cpc.2004.04.007

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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 rho(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 rho(E) approximately |E|(alpha) with nonuniversal alpha over an energy scale comparable to the single-impurity resonance energy Omega(0). We show that the novel effects arise from static spatial correlations between the order parameter and the impurity distribution.