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Toda solitons as Fermi-quasiparticles

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Zeitschrift für Physik B Condensed Matter

Abstract

The Bethe ansatz leads to Yang-Yang integral equations. The particle-hole structure of the zero-temperature excitations is generalized to finite temperatures, which leads to the definition of soliton- and phonon-quasiparticles. The solitons approximately follow the Fermi-Dirac statistics and have a chemical potential with an unusual temperature dependence, because the number of solitons is not constant.

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References

  1. Krumhansl, J.A., Schrieffer, J.R.: Phys. Rev.B 11, 3535 (1975)

    Google Scholar 

  2. Currie, J.F., Krumhansl, J.A., Bishop, A.R., Trullinger, S.E.: Phys. Rev.B 22, 477 (1980)

    Google Scholar 

  3. Büttner, H., Mertens, F.G.: Solid State Commun.29, 663 (1979)

    Google Scholar 

  4. Schneider, T., Stoll, E.: Phys. Rev. Lett.45, 997 (1980)

    Google Scholar 

  5. Mertens, F.G., Büttner, H.: Phys. Lett.84A, 335 (1981)

    Google Scholar 

  6. Mertens, F.G., Büttner, H.: J. Phys.A 15, 1831 (1982)

    Google Scholar 

  7. Schneider, T.: Proceedings of a Workshop on Statics and Dynamics of Nonlinear Systems, Erice, 1983. In: Springer Series in Solid State Sciences. Benedek, G., Bilz, H., Zeyher, R. (eds.), Vol. 47. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  8. Theodorakopoulos, N.: Phys. Rev. Lett.53, 871 (1984)

    Google Scholar 

  9. Theodorakopoulos, N.: Proceedings of the 7th Kyoto Summer School on Dynamical Problems in Soliton Systems, Kyoto, 1984. Springer Series in Synergetics, Takeno, S. (ed.), Vol. 30. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  10. Takayama, H., Ishikawa, M.: Prog. Theor. Phys.74, 479 (1985)

    Google Scholar 

  11. Theodorakopoulos, N.: In: Prooceedings of the 2nd International Conference on Phonon Physics, Budapest 1985. Kollár, J., Kroó, N., Menyhárd, N., Siklós, T., (eds.), p. 468. Singapore: World Scientific 1985

    Google Scholar 

  12. Lieb, E.H., Liniger, W.: Phys. Rev.130, 1605 (1963)

    Google Scholar 

  13. Lieb, E.H.: Phys. Rev.130, 1616 (1963)

    Google Scholar 

  14. Yang, C.N., Yang, C.P.: J. Math. Phys.10, 1115 (1969)

    Google Scholar 

  15. Sutherland, B.: J. Math.12, 246, 251 (1971)

    Google Scholar 

  16. Sutherland, B.: Phys. Rev.A 4, 2091;A5, 1372 (1972)

    Google Scholar 

  17. Sutherland, B.: Rocky Mount. J. Math.8, 413 (1978)

    Google Scholar 

  18. Mertens, F.G.: Z. Phys. B—Condensed Matter55, 353 (1984)

    Google Scholar 

  19. Mertens, F.G., Hader, M.: Proceedings of the 7th Kyoto Summer Institute on Dynamical Problems in Soliton Systems, Kyoto, 1984. In: Springer Series in Synergetics. Takeno, S. (ed.) Vol. 30. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  20. Mertens, F.G., Hader, M.: Phys. Lett.112A, 309 (1985)

    Google Scholar 

  21. Hader, M., Mertens, F.G.: J. Phys.A 19, 1913 (1986)

    Google Scholar 

  22. Opper, M.: Phys. Lett.112A, 201 (1985)

    Google Scholar 

  23. Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology. Vol. II/5, p. 234. Berlin, Heidelberg, New York: Springer 1967

    Google Scholar 

  24. Takayama, H., Ishikawa, M.: Prog. Theor. Phys.77, 820 (1986)

    Google Scholar 

  25. Gruner-Bauer, P., Mertens, F.G.: (to be published)

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Authors and Affiliations

  1. Physikalisches Institut, Universität Bayreuth, Postfach 3008, D-8580, Bayreuth, Federal Republic of Germany

    F. G. Mertens & M. Hader

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  1. F. G. Mertens
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  2. M. Hader
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Mertens, F.G., Hader, M. Toda solitons as Fermi-quasiparticles. Z. Physik B - Condensed Matter 69, 121–127 (1987). https://doi.org/10.1007/BF01560620

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  • DOI: https://doi.org/10.1007/BF01560620

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