Abstract
Expressions for the ground-state energy and for correlation functions at zero temperature are presented which are suitable for the application of projection techniques. They can be used for weak as well as strong correlations and allow for a unified approch to the electronic correlation problem. Three examples are presented. Two of them concern the ground-state energy of a two-band Hubbard Hamiltonian and of a two-dimensional Heisenberg antiferromagnet, respectively. As a third example the motions of a hole in a one-dimensional quantum antiferromagnet is treated.
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References
see e.g. “Methods of Electronic Structure Theory” edited by H.F. Schaefer III, Plenum Press, New York, 1977
M.V. Gandulia Pirovano, G. Stollhoff, P. Fulde and K. Bohnen, Phys. Rev. B 39, 5156 (1989)
R.P. Feynmann “Statistical Mechanics” W. A. Benjamin, Inc. (Reading, Mass.) 1972
J. Hubbard, Proc. Royal Soc. A276, 238 (1963)
S. E. Barnes, J. Phys. F 6, 1375 (1976), ibid. F 7, 2637 (1977)
P. Coleman, Phys. Rev. B 29, 3035 (1984)
K.W. Becker and P. Fulde, Z. Phys. B 72, 423 (1988)
K.W. Becker, H. Won and P. Fulde, Z. Phys. B (in print)
R. Kubo, J. Phys. Soc. Japan 17. 1100 (1962)
K.W. Becker and P. Fulde, submitted for publication
J. Goldstone, Proc. Roy. Soc. (London) A 239, 267 (1957)
K.W. Becker and W. Brenig (to be published)
E. Fick and G. Sauermann “Quantenstatistik dynamischer Prozesse” H. Deutsch Verlag, Frankfurt/M., 1986
D. Forster “Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions” Benjamin Publ. (Reading, Mass.) 1975
M. Parinello and T. Arai, Phys. Rev. 10, 265 (1974)
J. D. Reger and A.P. Young, Phys. Rev. B 37, 5978 (1988)
S. Liang, B. Doucot and P.W. Anderson, Phys. Rev. Lett. 61, 365 (1988)
T. Kaplan, P. Horsch and W. von der Linden (submitted for publication)
W. Brenig and K.W. Becker, Z. Phys. B (in print)
W. F. Brinkmann and T. M. Rice, Phys. Rev. B 2, 1324 (1970)
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© 1989 Springer-Verlag Berlin, Heidelberg
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Becker, K.W., Fulde, P. (1989). On the Application of Projection Techniques to the Electron Correlation Problem. In: Fukuyama, H., Maekawa, S., Malozemoff, A.P. (eds) Strong Correlation and Superconductivity. Springer Series in Solid-State Sciences, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83836-1_12
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DOI: https://doi.org/10.1007/978-3-642-83836-1_12
Publisher Name: Springer, Berlin, Heidelberg
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