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Quantum Corrections to the Specific Heat of the Easy-Plane Ferromagnetic Chain

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Nonlinearity in Condensed Matter

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 69))

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Abstract

One-dimensional non-linear soliton-bearing condensed matter systems have received much attention in recent years [1]. In this context the properties of the magnetic salts CsNiF3 and (C6 H11 NH3)CuBr3 (CHAB) are of particular interest. In the long wavelength limit, k → O, both these salts are described by the one-dimensional easy-plane continuum ferromagnetic spin model [2,3]

$$ \operatorname{H} = \int {dx} [\frac{1}{2}j{{\left( {\frac{{d\bar{S}}}{{dx}}} \right)}^{2}} + a{{\left( {{{S}^{Z}}} \right)}^{2}} - h{{S}^{X}}] $$
(1.1)

Supported in part by grants from the Danish Natural Science Research Council.

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References

  1. Physics in One Dimension. Ed. by J. Bernasconi and T. Schneider ( Springer Verlag, Heidelberg, 1981 )

    Google Scholar 

  2. H.J. Mikeska, J.Phys. C 11, L29 (1978).

    Article  Google Scholar 

  3. K. Kopinga, A.M.C. Tinus, and W.J.M. de Jonge, Phys.Rev. B 29, 2868 (1984).

    Article  ADS  Google Scholar 

  4. J.K. Kjems and M. Steiner, Phys.Rev.Lett. 41, 1137 (1978).

    Article  ADS  Google Scholar 

  5. A.M.C. Tinus, W.J.M. de Jonge, and K. Kopinga, Phys. Rev. B 32, 3154 (1985).

    Article  ADS  Google Scholar 

  6. H.C. Fogedby, P. Hedegárd, and A. Svane, Physica 132 B, 17 (1985).

    Google Scholar 

  7. A.P. Ramirez and W.P. Wolf, Phys.Rev.Lett. 49, 227 (1982) and Phys. Rev. B 32, 1639 (1985).

    Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  9. J.M. Loveluck, T. Schneider, E. Stoll, and H.R. Jauslin, Phys.Rev.Lett. 45, 1505 (1980) and J.Phys. C 15, 1721 (1982).

    Google Scholar 

  10. R. Tammetta and J. Oitmaa, J.Phys. C 16, L809 (1983).

    Article  ADS  Google Scholar 

  11. T. Schneider and E. Stoll, J.Appl.Phys. 53, 8024 (1982).

    Article  ADS  Google Scholar 

  12. H.C. Fogedby, P. Hedegárd, and A. Svane, Phys.Rev. B 28, 2893 (1983);

    Article  ADS  Google Scholar 

  13. H.C. Fogedby, P. Hedegárd, and A. Svane, ibid. Phys. Rev. B 29, 2861 (1984).

    ADS  Google Scholar 

  14. K.M. Leung and A.R. Bishop, J.Phys. C 16, 5893 (1983).

    Article  ADS  Google Scholar 

  15. K. Osano, J.Phys. C 17, L511 (1984).

    Article  ADS  Google Scholar 

  16. O.G. Mouritsen, H.J. Jensen, and H.C. Fogedby, Phys.Rev. B 30, 498 (1984).

    Article  ADS  Google Scholar 

  17. M.G. Pini and A. Rettori, Phys.Rev. B 22, 5246 (1984).

    Article  ADS  Google Scholar 

  18. L.D. Landau and E.M. Lifshitz: Quantum Mechanics ( Pergamon Press, London 1959 ).

    Google Scholar 

  19. K. Maki, Phys.Rev. B24, 3991 (1981).

    ADS  Google Scholar 

  20. M. Fowler and X. Zotos, Phys.Rev. B 25, 5806 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  21. M.D. Johnson and N.F. Wright, Phys.Rev. B 32, 5798 (1985).

    Article  ADS  Google Scholar 

  22. T. Tsuzuki, Prog.Theor.Phys. 70, 975 (1983); ibid. Suppl. 80, 146 (1984).

    Google Scholar 

  23. R. Giachetti and V. Tognetti, Phys.Rev.Lett. 55, 912 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  24. M. Moraldi, A. Rettori, and M.G. Pini, Phys.Rev. A 31, 1971 (1985).

    Article  ADS  Google Scholar 

  25. M. Imada, K. Hida, and M. Ishikawa, J.Phys. C 16, 35 (1983).

    Article  ADS  Google Scholar 

  26. N. Flüggen, Diplom Thesis, Hannover (1984).

    Google Scholar 

  27. H.J. Mikeska, Phys.Rev. B 26, 5213 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  28. H.J. Mikeska, Physica 120 B, 235 (1982).

    Google Scholar 

  29. H.J. Mikeska and K. Osano, Z.Physik B 52, 111 (1983).

    Article  ADS  Google Scholar 

  30. Only the symmetrized part of Δϱk enters in the evaluation of Z. The mode counting in the present case of a reflecting potential is a little subtle and will be discussed in another context. See also S.E. Trullinger and R.M. DeLeonardis, Phys.Rev. A 20, 2225 (1979) and [26].

    Google Scholar 

  31. J. Timonen and A. Luther, J.Phys. C 18, 1439 (1985).

    Article  ADS  Google Scholar 

  32. H.J. Mikeska and H. Frahm, preprint (1985).

    Google Scholar 

  33. G.M. Wysin, Ph.D. Thesis, Cornell University (1985).

    Google Scholar 

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Fogedby, H.C., Osano, K., Jensen, H.J. (1987). Quantum Corrections to the Specific Heat of the Easy-Plane Ferromagnetic Chain. In: Bishop, A.R., Campbell, D.K., Kumar, P., Trullinger, S.E. (eds) Nonlinearity in Condensed Matter. Springer Series in Solid-State Sciences, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83033-4_6

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  • DOI: https://doi.org/10.1007/978-3-642-83033-4_6

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