Abstract
A new variational method is developed to calculate the ground-state energy of a fermion system with strong short-range order. As well as intrasite correlations, the Gutzwiller trial wave function explicitly contains nearest-neighbor correlations. The Kikuchi pseudo-ensemble method was used to calculate the total energy of the fermion system. The calculations were made for the paramagnetic and antiferromagnetic phases of the half-filled Hubbard model. It is shown that for two-and three-dimensional lattices the short-range order in the paramagnetic phase strongly influences the ground-state energy whereas in the antiferromagnetic phase it is insignificant.
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References
J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963).
M. C. Gutzwiller, Phys. Rev. 137, A1726 (1965).
J. Kanamory, Prog. Theor. Phys. 30, 275 (1963).
H. Lieb and F. Wu, Phys. Rev. Lett. 20, 1445 (1968).
E. B. Kolomeinski and J. P. Straley, Rev. Mod. Phys. 68, 175 (1996).
U. Brandt and A. Giesekus, Phys. Rev. Lett. 68, 2648 (1992).
W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).
A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
G. Senatore and N. H. March, Rev. Mod. Phys. 66, 445 (1994).
H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. 56, 1490 (1987).
H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. 56, 3582 (1987).
W. Metzner and D. Vollhardt, Phys. Rev. Lett. 59, 121 (1987).
F. Gebhard, Phys. Rev. B 41, 9452 (1990).
D. Pines and B. Stojkovic, Phys. Rev. B 55, 8576 (1997).
D. Vollhardt, Rev. Mod. Phys. 56, 99 (1984).
Yu. B. Kudasov, Phys. Lett. A 245, 153 (1998).
J. M. Ziman, Models of Disorder; the Theoretical Physics of Homogeneously Disordered Systems (Cambridge Univ. Press, Cambridge, 1979; Mir, Moscow, 1982).
T. Ogawa, K. Kanda, and T. Matsubara, Prog. Theor. Phys. 53, 614 (1975).
R. Kikuchi, Phys. Rev. 81, 988 (1951).
R. Kikuchi and S. G. Brush, J. Chem. Phys. 47, 195 (1967).
P. J. des Cloizeaux, J. Phys. (Paris) 20, 606 (1959).
E. Manousakis, Rev. Mod. Phys. 63, 1 (1991).
W. F. Brinkman and T. M. Rice, Phys. Rev. B 2, 4302 (1970).
A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, New York, 1994).
S. Kondo, D. S. Johnston, C. A. Swenson, et al., Phys. Rev. Lett. 78, 3729 (1997).
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 117, No. 3, 2000, pp. 624–633.
Original Russian Text Copyright © 2000 by Kudasov.
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Kudasov, Y.B. Ground state of Fermi systems with strong short-range order. J. Exp. Theor. Phys. 90, 544–552 (2000). https://doi.org/10.1134/1.559137
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DOI: https://doi.org/10.1134/1.559137