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Domain wall theory of elementary excitations in anisotropic antiferromagneticS=1 chains

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Zeitschrift für Physik B Condensed Matter

Abstract

We present a theoretical investigation of elementary excitations in anisotropic antiferromagneticS=1 chains using the concept of domain walls in string (hidden) order. Domain walls are classified by the internal spin projectionS zdw . We calculate energies and string correlation 0 functions of low lying excited states of the domain wall type in the Haldane phase and compare the results to those of numerical computations. The boundaries of the Haldane phase are determined from the instability of these excitations with respect to the ground state. The interaction between two domain walls is found to be proportional to the productS zdw , S zdw 2, it is effectively repulsive 0140 for equal spin projections.

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References

  1. Haldane, F.D.M.: Phys. Rev. Lett50, 1153 (1983); Phys. Lett. A93 464 (1983)

    Article  Google Scholar 

  2. Affleck, I., Kennedy, T., Lieb E.H., Tasaki, H.: Phys. Rev. Lett59 799 (1987), Comm. Math. Phys.115, 583 (1988)

    Article  CAS  Google Scholar 

  3. Kennedy, T., Tasaki, H.: Phys. Rev. B45, 304 (1992)

    Article  CAS  Google Scholar 

  4. Klümper, A., Schadschneider, A., Zittartz, J.: Europhysics Lett.24, 293 (1993)

    Article  Google Scholar 

  5. Gómez-Santos, G.: Phys. Rev. Lett.63, 790 (1989)

    Article  Google Scholar 

  6. Mikeska, H.-J.: Europhys. Lett.19, 39 (1992)

    Article  Google Scholar 

  7. den Nijs, M., Rommelse, K.: Phys. Rev. B40, 4709 (1989)

    Article  Google Scholar 

  8. Girvin, S.M., Arovas, D.P.: Phys. Scr. T27, 156 (1989)

    Article  Google Scholar 

  9. Knabe, S.: J. Stat. Phys.52, 627 (1988)

    Article  Google Scholar 

  10. Fath, G., Solyom, J.: J. Phys.: Condens. Matter5, 8983 (1993)

    CAS  Google Scholar 

  11. Arovas, D.P., Auerbach, Haldane, D.F.M.: Phys. Rev. Lett.60, 531 (1988)

    Article  CAS  Google Scholar 

  12. Sakai, T., Takahashi, M.: J. Phys. Soc. Japan,63, 755 (1994)

    Article  CAS  Google Scholar 

  13. Kaburagi, M., Harada, I., Tonegawa, T.: J. Phys. Soc. Japan62, 1848 (1993)

    Article  CAS  Google Scholar 

  14. Mikeska, H.-J., Verrucchi, P.: preprint, Univ. of Hannover /Florence

  15. Mikeska, H.-J.: Chaos, Solitons and Fractals (in press)

  16. Kennedy, T.: J. Phys.: Condens. Matter6, 8015 (1994)

    CAS  Google Scholar 

  17. Scharf, R., Mikeska, H.-J.: preprint, Univ. of Hannover

  18. Takahashi, M.: Phys. Rev. B48, 311 (1993)

    Article  CAS  Google Scholar 

  19. Lin, H.Q., Pan, C.Y.: J. Phys.49, C8, 1415 (1988)

    Google Scholar 

  20. Elstner, N., Mikeska, H.-J.: Phys. Rev. B50, 3907 (1994)

    Article  CAS  Google Scholar 

  21. Affleck, I.: Phys. Rev. B43, 3215 (1991)

    Article  CAS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Hannover, Appelstrasse 2, D-30167, Hannover, Germany

    U. Neugebauer & H. -J. Mikeska

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  1. U. Neugebauer
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  2. H. -J. Mikeska
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Neugebauer, U., Mikeska, H.J. Domain wall theory of elementary excitations in anisotropic antiferromagneticS=1 chains. Z. Phys. B - Condensed Matter 99, 151–157 (1995). https://doi.org/10.1007/BF02769927

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  • DOI: https://doi.org/10.1007/BF02769927

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