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Asymptotically exact variational approach to the strong coupling Hubbard model

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Zeitschrift für Physik B Condensed Matter

Abstract

In this contribution we use a generalization of Bogoljubov's variational principle, in order to develop a molecular field theory of the Hubbard model, which becomes asymptotically exact in the strong coupling limit. For this purpose the Hamiltonian is rotated by a unitary two-particle transformation in a way which was previously introduced by Kapustin, before the variational principle is applied.

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References

  1. Brandt, U.: Z. Physik257, 320 (1972) Capellmann, H.: J. Phys. F4, 1112, 1466 (1974) Des Cloizeaux, J.: J. Physique Rad.20, 606, 751 (1959) Penn, D.R.: Phys. Rev.142, 350 (1966)

    Google Scholar 

  2. Dichtel, K., Jelitto, R.J., Koppe, H.: Z. Physik246, 248 (1971); ibid.251, 173 (1972)

    Google Scholar 

  3. Jelitto, R.J.: The Shortcoming of Single-Particle Approaches to the Hubbard Model in the Strong Coupling Regime, Lectures given at the VII-th International Autumn School on Magnetism at Gaussig Countryplace, GDR, Nov. 10–14, 1975 (Proceedings edited as manuscript by K. Elk, TU Dresden, GDR)

  4. Kapustin, V.A.: Sov. Phys. Sol. State16, 520 (1974)

    Google Scholar 

  5. Koppe, H.: in: W. Heisenberg und die Physik unserer Zeit, p. 182. Braunschweig: Fr. Vieweg & Sohn 1961

    Google Scholar 

  6. Grensing, D., Koppe, H.: Z. Physik B23, 199 (1976)

    Google Scholar 

  7. Huber, A.: Self-Consistence and Stability in the Variational Calculation of Thermodynamic Quantities, Lectures given at the 1968 Boulder Summer School, Vol. XID, p. 355 (K.T. Mahanthappa and W.E. Brittin ed.). New York: Gordon & Breach 1969

    Google Scholar 

  8. Jelitto, R.J.: A New Approach to the Single-Particle Theory of the Hubbard Model, Lecture presented at the EPS-Conference on: Selected Problems in Magnetism, Bochum, July 25–28, 1972

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Frankfurt/Main, Robert-Mayer-Str. 8, D-6000, Frankfurt/Main 1, Federal Republic of Germany

    M. Heise & R. J. Jelitto

Authors
  1. M. Heise
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  2. R. J. Jelitto
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Project of the Sonderforschungsbereich 65 „Festkörperspektroskopie“ Darmstadt-Frankfurt financed by special funds of the Deutsche Forschungsgemeinschaft.

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Heise, M., Jelitto, R.J. Asymptotically exact variational approach to the strong coupling Hubbard model. Z Physik B 25, 381–389 (1976). https://doi.org/10.1007/BF01315254

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  • DOI: https://doi.org/10.1007/BF01315254

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