Abstract
This paper discusses three topics pertaining to quantum Monte Carlo simulations of the ground states of many-fermion systems based on the Hubbard-Stratonovich transformation. These are the recently introduced positive-projection approximation, the extension of these methods to lattice models with long-range interactions, and the passage from lattice models to the continuum limit.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Hubbard, Phys. Rev. Lett. 3, 77 (1959);
R. L. Stratonovich, Dokl. Akad. Nauk. SSSR 115 1097 (1957) [Soviet Phys. Doklady 2, 416 (1957)].
G. Sugiyama and S. E. Koonin, Annals of Phys. 168, 1 (1986).
S. Sorella, E. Tosatti, S. Baroni, R. Car, and M. Parrinello, Int. J. Mod. Phys. B, 1, 993 (1988)
S. Sorella, S. Baroni, R. Car, and M. Parrinello, Europhys. Lett. 8, 663 (1989).
H. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959)
M. Suzuki, Commun. Math. Phys. 51, 183 (1976).
D. R. Hamann and S. B. Fahy, Phys. Rev. B 41, 11352 (1990).
S. R. White, D. J. Scalapino, R. L. Sugar, E. Y. Loh, J. E. Gubcrnatis, and R. T. Scalettar, Phys. Rev. B 40, 506 (1989).
S. B. Fahy and D. R. Hamann, Phys. Rev. B 43, 765 (1991).
S. B. Fahy and D. R. Hamann, Phys. Rev. Lett. 65, 3437 (1990).
J. B. Anderson, J. Chem. Phys. 65, 4121 (1976).
S. Duane, A. D. Kennedy, B. J. Pendleton, and D. Roweth, Phys. Lett. B 195, 216 (1987)
R. T. Scalettar, D. J. Scalapino, and R. L. Sugar, Phys. Rev. B 34, 7911 (1986).
N. Furukawa and M. Imada. J. Phys. Soc. Japan 60, 810 (1991).
J. W. Negele and H. Orland, Quantum Many-Particle Systems ( Addison-Wesley, New York, 1988 ), p. 33.
D. R. Hamann and S. B. Fahy, unpublished.
J. E. Hirsch, Phys. Rev. B 31, 4403 (1985).
D. R. Hamann and S. B. Fahy, unpublished.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hamann, D.R. (1992). Recent Progress in the Auxiliary-Field Many-Fermion Simulation Method. In: Miyashita, S., Imada, M., Takayama, H. (eds) Computational Approaches in Condensed-Matter Physics. Springer Proceedings in Physics, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84821-6_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-84821-6_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84823-0
Online ISBN: 978-3-642-84821-6
eBook Packages: Springer Book Archive