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Functional integral and effective Hamiltonian t-J-V model of strongly correlated electron system

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Abstract

The functional integral representation for the generating functional of the t-J-V model is obtained. In the case close to half-filling this functional integral representation reduces the conventional Hamiltonian of the t-J-V model to the Hamiltonian of the system containing holes and spins 1/2 at each lattice size. This effective Hamiltonian coincides with that obtained by one of the authors by a different method. This Hamiltonian and its dynamical variables can be used for a description of different magnetic phases of the t-J-V model.

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References

  1. P. W. Anderson,Science 235:1196 (1987); inFrontiers and Borderlines in Many-Partide Physics, E. Fermi School Varenna, R. A. Broglia and J. R. Schriefer, eds. (North-Holland, Amsterdam, 1988), p. 1.

    Google Scholar 

  2. T. M. Rice, Theories of HTSC—What have we learned in 3 years? ETH-TH/90-17.

  3. G. Baskaran and P. W. Anderson,Phys. Rev. B 37:580 (1980).

    Google Scholar 

  4. F. C. Zhang and T. M. Rice,Phys. Rev. B 37:3759 (1988).

    Google Scholar 

  5. P. B. Wiegman,Phys. Rev. Lett. 60:821 (1988).

    Google Scholar 

  6. V. I. Belinicher,Phys. Lett. A 142:523 (1989); Method of strong coupling on lattice. Spin Systems and electron systems with strong correlations, Preprint N 42, IFP AN USSR, Novosibirsk (1989).

    Google Scholar 

  7. P. Coleman,Phys. Rev. B 29:3035 (1984).

    Google Scholar 

  8. G. Kotliar and A. Ruckenstein,Phys. Rev. Lett. 57:1362 (1986).

    Google Scholar 

  9. M. Grilli and G. Kotliar,Phys. Rev. Lett. 64:1170 (1990).

    Google Scholar 

  10. D. Volhardt, Variational wave function for correlated lattice fermions, inProceedings of the NATO Advanced Research Workshop on Interacting Electrons in Reduced Dimensions, D. Baeriswyl and D. Campbell, eds.

  11. I. V. Kolokolov,Phys. Lett. A 114:99 (1986).

    Google Scholar 

  12. I. V. Kolokolov and E. V. Podivilov,JETP 95:211 (1989).

    Google Scholar 

  13. V. I. Belinicher and V. S. L'vov,JETP 86:967 (1984).

    Google Scholar 

  14. J. Hubbard,Phys. Lett. 3:77 (1959).

    Google Scholar 

  15. F. A. Berezin,Method of Second Quantization (Nauka, Moscow, 1986).

    Google Scholar 

  16. V. M. Galitski,JETP 34:151 (1958).

    Google Scholar 

  17. F. Dyson,Phys. Rev. 2 102:1217 (1956).

    Google Scholar 

  18. S. V. Maleev,JETP 33:1010 (1957).

    Google Scholar 

  19. T. Holstein and H. Primakoff,Phys. Rev. 2 58:1098 (1940).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Semiconductor Physics, AN, 630090, Novosibirsk, Russia

    V. I. Belinicher

  2. Institute of Nuclear Physics, AN, 630090, Novosibirsk, Russia

    M. V. Chertkov

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  1. V. I. Belinicher
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  2. M. V. Chertkov
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Belinicher, V.I., Chertkov, M.V. Functional integral and effective Hamiltonian t-J-V model of strongly correlated electron system. J Stat Phys 69, 231–245 (1992). https://doi.org/10.1007/BF01053792

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  • DOI: https://doi.org/10.1007/BF01053792

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