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Thermodynamic properties of extended Hubbard chains

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Zeitschrift für Physik B Condensed Matter

Abstract

In this contribution we discuss the thermodynamic behaviour of Hubbard chains with an additional site-diagonal interaction. It is shown rigorously that the strong coupling limit is equivalent to a generalized anisotropic Heisenberg system, which in some recently discussed limiting cases degenerates to an Ising orX-Y system. The whole procedure also works for a collection of chains with interchain interaction, thus it is not restricted to strictly one-dimensional systems. The effect of a magnetic field is discussed, and the results are compared with a recent perturbation approach by using numerical results for the anisotropic Heisenberg chain.

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References

  1. Lieb, E.H., Wu, F.Y.: Phys. Rev. Letters20, 1445 (1968)

    Google Scholar 

  2. Takahashi, M.: Progr. Theoret. Phys. (Kyoto)43, 1619 (1970)

    Google Scholar 

  3. Shiba, H.: Progr. Theoret. Phys. (Kyoto)48, 2171 (1972)

    Google Scholar 

  4. Brandt, U.: Z. Physik269, 221 (1974)

    Google Scholar 

  5. see e.g. Epstein, A.J., Etemad, S., Garito, A.F., Heeger, A.J.: Phys. Rev. B5, 952 (1972)

    Google Scholar 

  6. Beni, G., Pincus, P.: Phys. Rev. B9, 2963 (1974)

    Google Scholar 

  7. Gallinar, J.P.: Phys. Rev. B11, 4421 (1975)

    Google Scholar 

  8. Jordan, P., Wigner, E.: Z. Physik47, 631 (1928)

    Google Scholar 

  9. Bonner, J.C., Fisher, M.E.: Phys. Rev.135, A 640 (1964)

    Google Scholar 

  10. Yang, C.N., Yang, C.P.: Phys. Rev.151, 258 (1966)

    Google Scholar 

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Brandt, U. Thermodynamic properties of extended Hubbard chains. Z Physik B 22, 397–399 (1975). https://doi.org/10.1007/BF01312812

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  • DOI: https://doi.org/10.1007/BF01312812

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