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Soliton contribution to correlations in a system of coupled chains

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Zeitschrift für Physik B Condensed Matter

Abstract

A model representing a two- or a three-dimensional array of classical harmonic chains withnonlinear coupling between them is investigated. Physically real systems to which this model applies are discussed. The model exhibits soliton-like nonlinear modes. The influence of these nonlinear modes on the static and the dynamic correlation functions is calculated by generalizing techniques developed for strictly one-dimensional systems. In the static correlation functions these modes lead to minor quantitative changes only. In certain dynamic correlation functions, however, a central peak is found to occur due to the nonlinear modes. The total weight and the width of this peak are calculated for a real spin system.

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References

  1. Scott, A.C., Chu, F.Y.F., McLaughlin, U.W.: Proc. IEEE G1, 1443 (1973)

    Google Scholar 

  2. Krumhansl, J.A., Schrieffer, J.R.: Phys. Rev. B11, 3535 (1975)

    Google Scholar 

  3. Kawasaki, K.: Prog. Theor. Phys.55, 2029 (1976)

    Google Scholar 

  4. Mikeska, H.J.: J. Phys. C11, L29 (1978)

    Google Scholar 

  5. Apel, W., Everts, H.U., Schulz, H.: Z. Physik B34, 183 (1980)

    Google Scholar 

  6. Bishop, A.R.: Phys. Scr.20, 409 (1979)

    Google Scholar 

  7. Horovitz, B., Krumhansl, J.A., Domany, E.: Phys. Rev. Lett.38, 178 (1977)

    Google Scholar 

  8. Rice, M.J., Strässler, S., Schneider, W.R.: In: Lecture Notes in Physics. Vol. 34, p. 282. Berlin, Heidelberg, New York: Springer Verlag (1975)

    Google Scholar 

  9. Sadovskii, M.V.: Sov. Phys. Solid State19, 607 (1977)

    Google Scholar 

  10. Horovitz, B., Krumhansl, J.A.: Solid State Commun.26, 81 (1978)

    Google Scholar 

  11. Allroth, E.: J. Phys. C13, 383 (1980)

    Google Scholar 

  12. Koch, W.: Diss. Univ. Hannover 1980

  13. Scalapino, D.J., Sears, M., Ferrel, R.A.: Phys. Rev. B6, 3409 (1972)

    Google Scholar 

  14. Callaway, J.: J. Math. Phys.5, 783 (1964)

    Google Scholar 

  15. Langer, J.S.: Ann. Phys.41, 108 (1967)

    Google Scholar 

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Koch, W. Soliton contribution to correlations in a system of coupled chains. Z. Physik B - Condensed Matter 40, 249–256 (1980). https://doi.org/10.1007/BF01294535

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  • DOI: https://doi.org/10.1007/BF01294535

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