Abstract

The effect of random point-like impurities on correlated superconductor has been studied. We use the two component (also called boson-fermion (BF)) model formulated in a real space supplemented with strong on-site electron-electron repulsion U and solve it by means of the real space Bogoliubov-de Gennes approach. It has been shown that due to electron correlations the gap is larger near the impurity sites, contrary to the results for the same model but without U. This naturally leads to positive correlations between the gap magnitude and the position of impurities, as was observed in various scanning tunneling measurements performed on d-wave symmetry BSCCO-2122 superconductors. Strong correlations are responsible for the protection of the low energy quasiparticles against disorder.

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