Abstract
We have studied finite-sized single band models with short-range pairing interactionsbetween electrons in the presence of diagonal Fibonacci modulation in one dimension. Twomodels, namely the attractive Hubbard model and the Penson–Kolb model, have beeninvestigated at half-filling at zero temperature by solving the Bogoliubov–de Gennesequations in real space within a mean-field approximation. The competition between‘disorder’ and the pairing interaction leads to a suppression of superconductivity (of usualpairs with zero centre-of-mass momenta) in the strong-coupling limit while an enhancementof the pairing correlation is observed in the weak-coupling regime for both models.However, the dissimilarity of the pairing mechanisms in these two models brings aboutnotable differences in the results. The extent to which the bond-ordered wave and theη-paired (of pairswith centre-of-mass momenta = π) phases of the Penson–Kolb model are affected by the disorder has also been studied in thepresent calculation. Some finite size effects are also identified.
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