Abstract
This article reviews the variational Monte Carlo approach to the Hubbard model and the problem of high-temperature superconductivity. An historical introduction to the conceptual background of the problem is given, and the basic technical details of the method are summarized. The chief physical results, particularly the prediction of antiferromagnetic fluctuations in almost localized Fermi liquids, are outlined. The consequences for high-temperature superconductivity are drawn, and future prospects are speculated upon.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Hubbard, Proc. Roy. Soc. A276, 238 (1964)
J. Kanamori, Prog. Theor. Phys. 30, 275 (1963)
Y. Nagaoka, Phys. Rev. 147, 392 (1966)
M. Takahashi, J. Phys. Soc. Japan 51, 3425 (1982)
Y. Fang, A. Ruckenstein, E. Dagotto, and S. Schmitt-Rink. Phys. Rev. B40, 7406 (1989)
M. C. Gutzwiller, Phys. Rev. 137, A1726 (1965)
W. F. Brinkman and T. M. Rice, Phys. Rev. B2, 4302 (1970)
P. Anderson, Science 235, 1196 (1987)
T. A. Kaplan, P. Horsch, and P. Fulde, Phys. Rev. Lett., 49, 889 (1982)
P. Horsch and T. A. Kaplan, J. Phys, C 16, L1203 (1983)
D. Haldane, Phys. Rev. Lett. 60, 635 (1988)
B. Shastry, Phys. Rev. Lett. 60, 639 (1988)
P. W. Anderson, Phys. Rev. 115, 2 (1959)
C. Gros, R. Joynt, and T. M. Rice, Phys. Rev. B35, 381 (1970)
E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1665 (1968)
G. Aeppli, A. Goldman, G. Shirane, E. Bucher, and M. Lux-Steiner, Phys. Rev. Lett. 58, 808 (1987)
H. Shiba, J. Phys. Soc. Japan 55, 2765 (1986)
H. Yokoyama and H. Shiba J. Phys. Soc. Japan 56, 3570 (1987)
F. C. Zhang and T. M. Rice, Phys. Rev. B37, 3759 (1988)
C. Gros, R. Joynt, and T. M. Rice, Z. Phys. B68, 425 (1987)
C. Gros, Phys. Rev. B38, 931 (1988)
H. Yokoyama and H. Shiba, J. Phys. Soc. Japan 57, 2482 (1988)
T. K. Lee and S. Feng, Phys. Rev. B38, 11809 (1988)
S. Coppersmith and C. Yu, Phys. Rev. B39, 11464 (1989)
S. Liang and N. Trivedi, Phys. Rev. Lett. 64, 232 (1989)
C. G. Olson,(private communication)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Joynt, R. (1991). Numerical Evaluation of Candidate Wavefunctions for High-Temperature Superconductivity. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed Matter Physics III. Springer Proceedings in Physics, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76382-3_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-76382-3_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76384-7
Online ISBN: 978-3-642-76382-3
eBook Packages: Springer Book Archive