Abstract
We considered anisotropic superconductivity within the two-dimensional Hubbard model extended by pairing correlations originating from the electron–phonon interaction. To discuss the onset of superconductivity close to the insulator–metal transition, we used the Hubbard I approximation to account for the formation of the insulating gap and see the role of Coulomb correlations for superconducting pairing. It has been shown that the Hubbard I approximation reflects effective pairing interactions genuine for correlated electron systems and leads to the stabilization of the superconductivity in the d-wave channel. One may expect the cooperation of phonon-free and phonon-induced mechanism in the formation of thed-wave superconducting state.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
S. M. Quinlan and D. J. Scalapino, Phys. Rev. B 51, 497 (1995).
D. A. Wollman, D. J. Van Harlingen, J. Giapintzakis, and D. M. Ginsberg, Phys. Rev. Lett. 74, 797 (1995).
Y. Koike, T. Takabayashi, T. Noji, T. Nishizaki, and N. Kobayashi, Phys. Rev. B 54, 776 (1996).
M. Houssa, M. Ausloos, and M. Pekala, Phys. Rev. B 54, 12713 (1996).
L. Ozyuzer, Z. Yusof, J. F. Zasadzinski, R. Mogilevsky, D. G. Hinks, and K. E. Gray, Phys. Rev. B 57, 3245 (1998).
N. Bulut, D. J. Scalapino, and S. R. White, Phys. Rev. B 47, 6157 (1993).
N. Bulut, D. J. Scalapino, and S. R. White, J. Supercond. 7, 571 (1994).
S. Zhang, J. Carlson, and J. E. Gubernatis, Phys. Rev. Lett. 78, 4486 (1997).
P. Monthoux and D. Pines, Phys. Rev. B 49, 4261 (1994).
D. J. Scalapino, Phys. Rep. 250, 329 (1995).
J. H. Kim and Z. Tesanović, Phys. Rev. Lett. 71, 4218 (1993).
M. Mierzejewski, J. Zieliński, and P. Entel, Phys. Rev. B 53, 431 (1996).
M. Mierzejewski, and J. Zieliński, and P. Entel, J. Supercond. 9, 81 (1996).
K. I. Wysokiński, Phys. Rev. B 54, 3553 (1996).
M. Mierzejewski, J. Zielński, and P. Entel, Phys. Rev. B 57, 590 (1998).
G. Santi, T. Jarlborg, M. Peter, and M. Weger, J. Supercond. 8, 405 (1995); G. Santi, T. Jarlborg, M. Peter, and M. Weger, Physica C 259, 253 (1996).
C. O'Donovan and J. P. Carbotte, Phys. Rev. B 55, 1200 (1997).
M. Mierzejewski and J. Zieliński, Phys. Rev. B 56, 11925 (1997).
J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
S. Doniach and E. H. Sondheimer, Green's Functions for Solid State Physicist, Benjamin, New York, 1974.
J. Zieliński, M. Mierzejewski, and P. Entel, Phys. Rev. B 57, 10311 (1998).
J. Beenen and D. M. Edwards, Phys. Rev. B 52, 13636 (1995).
H. Fukuyama and K. Yosida, Jpn. J. Appl. Phys. 26, 1371 (1987).
J. Zieliński, M. Matlak, and P. Entel, Phys. Lett. A 136, 441 (1989).
T. Miyake, T. Matsuura, H. Jichu, and Y. Nagaoka, Prog. Theor. Phys. 72, 1063 (1984).
E. Langmann, J. Lidmar, M. Salmhofer, and M. Wallin, Physica C 296, 119 (1998).
C. A. Balseiro and L. M. Falicov, Phys. Rev. B 20, 4457 (1979).
T. Dahm, D. Manske, and L. Tewordt, J. Low Temp. Phys. 111, 879 (1998).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cebula, A., Zieliński, J. D-Wave Superconductivity and Coulomb Correlations in the Two-Dimensional Hubbard Lattice. Journal of Superconductivity 12, 649–654 (1999). https://doi.org/10.1023/A:1007700102368
Issue Date:
DOI: https://doi.org/10.1023/A:1007700102368