Summary
We study the three-band Hubbard model for the cuprate superconductors using Quantum Monte Carlo simulations and the fluctuation exchange approximation including a self-consistent many-body renormalization of the single-particle propagator. The energy dispersion of the low-lying one-particle excitations is in very good agreement with spectroscopic measurements for a hole doping concentration δ = 0.25 of the CuO2 planes. At the same doping, we examine the spin susceptibility yielding a non-ordered phase with short-range incommensurate fluctuations near the antiferromagnetic wave vector. In the superconducting regime, the interaction vertex for the pairing correlation function in the extended s-wave channel shows a maximum for δ = 0.20, resembling the dependence of transition temperature Tc on doping.
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
For review articles on theoretical and experimental approaches to the high temperature superconductors see, for example: Proceedings of the International Conference, Kanazawa, Physica C 185–189 (1991).
For a review article concerning QMC techniques applied to Hubbard model see: W. von der Linden, Physics Reports, 220, 53 (1992), and references therein.
G. Dopf, A. Muramatsu, W. Hanke, Phys. Rev. Lett. 68, 353 (1992).
G. Dopf, J. Wagner, P. Dieterich, A. Muramatsu, and W. Hanke, Phys. Rev. Lett. 68, 2082 (1992).
G. Dopf, A. Muramatsu, W. Hanke, Europhys. Lett. 17, 559 (1992).
R. T. Scalettar et al. Phys. Rev. B 44, 770 (1991).
S. R. White et al., Phys. Rev. B 40, 506 (1989).
E. Y. Loh et al., Phys. Rev. B 41, 9301 (1990).
N. E. Bickers and D. J. Scalapino, Annals of Physics 193, 207 (1989).
R. Putz, P. Dieterich, and W. Hanke, Helv. Phys. Acta 65, 433 (1992).
J. Luo and N. E. Bickers, Phys. Rev. B 47, 12153 (1993).
C. M. Varma, et al., Solid State Comm. 62, 681 (1987).
V. J. Emery, Phys. Rev. Lett. 58, 2794 (1987).
A. K. McMahan, R. M. Martin, and S. Satpathy, Phys. Rev. B 38, 6650 (1988).
M. S. Hybertsen, M. Schlüter, and N. E. Christensen, Phys. Rev. B 39, 9028 (1989).
N. Nücker et al., Phys. Rev. B 37, 5158 (1988).
P. W. Anderson, Science 235, 1196 (1987).
J. Hubbard, Proc. Roy. Soc. A276, 238 (1963).
R. Blankenbecler, D. J. Scalapino, and R. L. Sugar, Phys. Rev. D 24, 2278 (1981).
J. E. Hirsch, Phys. Rev. B 31, 4403 (1985).
H. F. Trotter, Prog. Am. Math. Soc.10, 545 (1959).
M. Suzuki, Prog. Theo. Phys.56, 1454 (1976).
J. Hubbard, Phys. Rev. Lett.3, 77 (1959).
J. E. Hirsch, Phys. Rev. B 28, 4059 (1983).
For a comprehensive review see e.g.: Dieter W. Heermann, Computer Simulation Methods in Theoretical Physics, Springer, Berlin-Heidelberg, (1986).
E. Y. Loh and J. E. Gubernatis, in: Electronic Phase Transistions, ed. by W. Hanke and Y. V. Kopaev, North-HollandAAA (1992).
A. L. Fetter and J. D. Walecka, Quantum-Theory of Many Particle Systems, New York (1971).
A. Muramatsu, G. Zumbach, X. Zotos, Int. J. Mod. Phys. C 3, 185 (1992).
J. W. Serene and D. W. Hess, Phys. Rev. B 44, 3391 (1991).
G. Mante et al. Z. Phys. B 80, 181 (1990).
S. R. White et al. Phys. Rev. Lett. 63, 1523 (1989).
H. J. Vidberg and J. W. Serene, J. Low Temp. Phys. 29, 179 (1977).
C. de Dominicis and P. C. Martin, J. Math. Phys. 5, 14 (1964); ibid., 31 (1964).
N. E. Bickers and S. R. White, Phys. Rev. B 43, 8044 (1991).
J. Rossat-Mignod et al., Physica B 169, 58 (1991); Physica C 185–189, 86 (1991).
J. M. Tranquada et al., Phys. Rev. B 46, 5561 (1992).
T. E. Mason, G. Aeppli, and H. A. Mook, Phys. Rev. Lett. 68, 1414 (1992).
G. Dopf, A. Muramatsu, and W. Hanke, Phys. Rev. B 41, 9264 (1990).
J. B. Torrance et al., Phys. Rev. Lett. 61, 1127 (1988), and references therein.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
About this chapter
Cite this chapter
Putz, R., Endres, H., Muramatsu, A., Hanke, W. (1994). Quantum Monte Carlo Simulations and Weak-Coupling Approximations for the Three-Band Hubbard Model. In: Griebel, M., Zenger, C. (eds) Numerical Simulation in Science and Engineering. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89727-5_12
Download citation
DOI: https://doi.org/10.1007/978-3-322-89727-5_12
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07648-1
Online ISBN: 978-3-322-89727-5
eBook Packages: Springer Book Archive