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.
Similar content being viewed by others
References
N. E. Bickers, D. J. Scalapino, and R. T. Scalettar,Int. J. Mod. Phys. B 1, 687 (1987); N. E. Bickers, D. J. Scalapino, and S. R. White,Phys. Rev. Lett. 62, 961 (1989).
T. Moriya, Y. Takahashi, and K. Ueda,J. Phys. Soc. Jpn. 59, 2905 (1990);Physica C 185–189, 114 (1991).
P. Monthoux and D. Pines,Phys. Rev. Lett. 69, 961 (1992).
These ideas have been discussed by a number of authors. For specific numerical calculations on thet-J model, see: Y. Hasegawa and D. Poilblanc,Phys. Rev. B 40, 9035 (1989); D. Poilblanc, E. Riera, and E. Dagotto, submitted toEurophys. Lett.; for detailed calculations of the pair spectral function, see D. Poilblanc,Phys. Rev. B 48, August (1993).
N. Bulut, D. J. Scalapino, and S. R. White,Phys. Rev. B 47, 6157 (1993).
N. F. Berk and J. R. Schrieffer,Phys. Rev. Lett. 17, 433 (1966).
K. Yonemitsu,J. Phys. Soc. Jpn. 58, 576 (1989).
A. J. Mills,Phys. Rev. B 45, 13047 (1992).
N. Bulut, D. J. Scalapino, and S. R. White,Phys. Rev. B 47, 2742 (1993).
A. Kampf and J. R. Schrieffer,Phys. Rev. B 41, 6399 (1990);Phys. Rev. B 42, 7967 (1990).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00728461