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On high-temperature expansions of the Hubbard model

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Zeitschrift für Physik B Condensed Matter

Abstract

We discuss the application of the high-temperature expansion method to the Hubbard model. We recalculate the expansion series of the susceptibility up to the sixth order in the transfer matrix element,t, in the strong correlation limit, and up to the fourth order int in case that the repulsive potential,U, is finite, butt/U ≪ 1. It is seen that the convergence of the series is very poor.

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References

  1. Hubbard, J.: Proc. Roy. Soc. A276, 238 (1963); A277, 237 (1964); A281, 401 (1964)

    Google Scholar 

  2. Nagaoka, Y.: Phys. Rev.147, 392 (1966)

    Google Scholar 

  3. Esterling, D.M., Dubin, H.C.: Phys. Rev. B6, 4276 (1972) and references therein

    Google Scholar 

  4. Bartel, L.C., Jarrett, H.S.: Phys. Rev. B10, 946 (1974)

    Google Scholar 

  5. Kammler, F., Elk, K.: phys. stat. sol. (b)81, 179 (1977)

    Google Scholar 

  6. See, for example: Domb, C.: Advan. Phys.9, 149 (1960)

    Google Scholar 

  7. Plischke, M.: J. Stat. Phys.11, 159 (1974)

    Google Scholar 

  8. Beni, G., Pincus, P., Hone, D.: Phys. Rev. B8, 3389 (1973)

    Google Scholar 

  9. Lyon-Caen, C., Cyrot, M.: J. Phys. C: Solid State Phys.8, 2091 (1975)

    Google Scholar 

  10. Bulaevskii, L.N., Khomskii, D.I.: Phys. Lett.41A, 257 (1972)

    Google Scholar 

  11. Zehler, V.: Z. Naturf.5A, 344 (1950)

    Google Scholar 

  12. Rushbrooke, G.S., Wood, P.J.: Proc. Phys. Soc. London A68, 1161 (1955)

    Google Scholar 

  13. Kanamori, J.: Progr. Theor. Phys. (Kyoto)30, 275 (1963)

    Google Scholar 

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Brauneck, W. On high-temperature expansions of the Hubbard model. Z Physik B 28, 291–296 (1977). https://doi.org/10.1007/BF01317256

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  • DOI: https://doi.org/10.1007/BF01317256

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