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On the phase diagram of the Extended Hubbard Model

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Zeitschrift für Physik B Condensed Matter

Abstract

The phase diagram of the Extended Hubbard Model in the atomic limit (zero band width) is investigated for arbitrary values of intra-site interactionI, inter-site repulsionW and chemical potential μ. First the ground states and their boundaries in the plane (I/4W, μ−μ0/4W) are determined and then using the Peierls chessboard method the existence of several kinds of long range orders, corresponding to ground states, is proven. It is conjectured that the results obtained hold for finite but sufficiently small band width. Arguments in favour of this conjecture are presented.

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References

  1. Gutzwiller, M.C.: Phys. Rev. Lett.10, 159 (1963)

    Google Scholar 

  2. Hubbard, J.: Proc. R. Soc. London Ser. A276, 238 (1963)

    Google Scholar 

  3. Adler, D.: Rev. Mod. Phys.40, 714 (1968)

    Google Scholar 

  4. Kishore, R., Joshi, S.K.: Phys. Rev.186, 484 (1969)

    Google Scholar 

  5. Ghosh, D.K.: Phys. Lett.32A, 429 (1970)

    Google Scholar 

  6. Albani, B., Röpke, G., Pöpelt, P.: Phys. Status Solidi B58, 691 (1973)

    Google Scholar 

  7. Bari, R.A.: Phys. Rev. B3, 2662 (1971)

    Google Scholar 

  8. Robaszkiewicz, S., Micnas, R., Chao, K.A.: Phys. Rev. B23, 1447 (1981)

    Google Scholar 

  9. Lorenz, B.: Phys. Status Solidi B101, 233 (1981)

    Google Scholar 

  10. Hubbard, J.: Quasi One-Dimensional Conductors II. Lecture Notes in Physics. Barišić, S., Bjeliš, A., Cooper, J.R., Leontič, B. (eds.), Vol 96. Berlin, Heidelberg, New York: Springer-Verlag 1979

    Google Scholar 

  11. Jędrzejewski, J.: Z. Phys. B—Condensed Matter48, 219 (1982)

    Google Scholar 

  12. Fröhlich, J., Israel, R., Lieb, E.H., Simon, B.: Commun. Math. Phys.62, 1 (1978)

    Google Scholar 

  13. Jędrzejewski, J.: J. Phys. A17, 1735 (1984)

    Google Scholar 

  14. Fröhlich, J., Lieb, E.H.: Commun Math. Phys.60, 233 (1978)

    Google Scholar 

  15. Fröhlich, J., Israel, R.B., Lieb, E.H., Simon, B.: J. Stat. Phys.22, 297 (1980)

    Google Scholar 

  16. Griffiths, R.: Phys. Rev.152, 240 (1966)

    Google Scholar 

  17. Hirsch, J.E.: Phys. Rev. Lett.51, 1900 (1983)

    Google Scholar 

  18. Scalapino, D.J., Sugar, R.L., Toussaint, W.D.: Phys. Rev. B29, 5253 (1984)

    Google Scholar 

  19. Robaszkiewicz, S.: Acta Phys. Polon. A55, 453 (1979)

    Google Scholar 

  20. Lorenz, B.: Phys. Status Solidi B106, K 17 (1981)

    Google Scholar 

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocŀaw, Cybulskiego 36, PL-50-205, Wroclŀaw, Poland

    J. Jędrzejewski

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  1. J. Jędrzejewski
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Jędrzejewski, J. On the phase diagram of the Extended Hubbard Model. Z. Physik B - Condensed Matter 59, 325–332 (1985). https://doi.org/10.1007/BF01307438

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  • DOI: https://doi.org/10.1007/BF01307438

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