Effect of inhomogeneity on s-wave superconductivity in the attractive Hubbard model

Abstract

Inhomogeneous s-wave superconductivity is studied in the two-dimensional, square lattice attractive Hubbard Hamiltonian using the Bogoliubov-de Gennes (BdG) mean field approximation. We find that at weak coupling, and for densities mainly below half-filling, an inhomogeneous interaction in which the on-site interaction $U_i$ takes on two values, $U_i=0,2U$ results in a larger zero temperature pairing amplitude, and that the superconducting $T_c$ can also be significantly increased, relative to a uniform system with $U_i=U$ on all sites. These effects are observed for stripe, checkerboard, and even random patterns of the attractive centers, suggesting that the pattern of inhomogeneity is unimportant. Monte Carlo calculations which reintroduce some of the fluctuations neglected within the BdG approach see the same effect, both for the attractive Hubbard model and a Hamiltonian with d-wave pairing symmetry.

arXiv comment5 pages, 4 figures

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• A contractor-renormalization study of Hubbard plaquette clusters
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• Pairing in disordered s-wave superconductors and the effect of their coupling
• Effect of site dilution in the two-dimensional attractive Hubbard model
• Influence of the atomic-scale inhomogeneity of the pair interaction on extracted from the STM spectra characteristics of high-$T_c$ superconductors
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