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Physical pictures of the pairing interaction in the Hubbard model

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Abstract

Physical pictures which have been suggested to describe the pairing interaction in a two-dimensional Hubbard model doped near half-filling are compared with numerical Monte Carlo results. We find that the single spin-fluctuation exchange picture provides a reasonable representation if Monte Carlo results are used for the spin susceptibility. We also find that the spatial structure of the pairing interaction in the singlet channel is repulsive when both fermions are on the same site but attractive when they are on near-neighbor sites favouring\(d_{x^2 - y^2 } \) pairing correlations.

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Bulut, N., Scalapino, D.J. & White, S.R. Physical pictures of the pairing interaction in the Hubbard model. J Supercond 7, 571–575 (1994). https://doi.org/10.1007/BF00728461

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