Skip to main content
Log in

The excitation spectrum of the one-dimensionalXY-model in a magnetic field

  • Published:
Zeitschrift für Physik

Abstract

The exact excitation spectrum of theXY-model with a magnetic field inz-direction is considered in detail. If the exchange is exceeding the influence of the magnetic field, single fermion excitations are forbidden and at least two fermions have to be excited. The excitation spectrum is then continuous.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ozuchi, T.: Phys. Rev.133, A 1098 (1964)

    Google Scholar 

  2. Birgeneau, R.J., Dingle, R., Hutchings, M.T., Shirane, G., Holt, S.L.: Phys. Rev. Lett.26, 718 (1971)

    Google Scholar 

  3. Hutchings, M.T., Shirane, G., Birgeneau, R.J., Holt, S.L.: Phys. Rev. B5, 1999 (1972)

    Google Scholar 

  4. Skalyo, J., Shirane, G., Friedberg, S.A., Kobayashi, H.: Phys. Rev. B2, 4632 (1970)

    Google Scholar 

  5. Bethe, H.A.: Z. Physik71, 205 (1931)

    Google Scholar 

  6. Orbach, R.: Phys. Rev.112, 309 (1958)

    Google Scholar 

  7. Lieb, E., Schultz, T., Mattis, D.: Ann. Phys.16, 407 (1961)

    Google Scholar 

  8. Katsura, S.: Phys. Rev.127, 1508 (1962)

    Google Scholar 

  9. Niemeijer, T.: Physica36, 377 (1967)

    Google Scholar 

  10. Suzuki, M.: Phys. Lett.34A, 94 (1971)

    Google Scholar 

  11. Suzuki, M.: Progr. Theor. Phys.46, 1337 (1971)

    Google Scholar 

  12. De Cloizeaux, J., Gaudin, M.: J. Math. Phys.7, 1384 (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author would like to thank Prof. P. Fulde and Dr. I. Peschel for stimulating discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schmidt, U. The excitation spectrum of the one-dimensionalXY-model in a magnetic field. Z. Physik 267, 271–275 (1974). https://doi.org/10.1007/BF01669447

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01669447

Keywords

Navigation