Skip to main content
SpringerLink
Log in

The behaviour of an isolated impurity near a phase transition in a spherical-like model

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The behaviour of an isolated impurity in a crystal undergoing a displacive phase transition is investigated in an exactly soluble spherical-like model. We find, depending on the parameter of the impurity, either a global phase transition at the bulkT c or a freezing-out of local order at a temperatureT loc c >T c driven by a soft local mode. We furthermore discuss the dynamic autocorrelation function of the impurity by introducing a phenomenological damping.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Wilson, K.G., Kogut, J.: Phys. Rep.12C, 76 (1974) Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)

    Google Scholar 

  2. Schneider, T., Stoll, E.: Phys. Rev. B13, 1216 (1976)

    Google Scholar 

  3. Aharony, A.: to appear in Jour. Magnetism and Magnetic Materials

  4. Halperin, B.I., Varma, C.M.: Phys. Rev. B14, 4030 (1976)

    Google Scholar 

  5. See articles by Müller, K.A., von Waldkirch, T., Borsa, F., Blinc, R., Rigamonti, A., In: Proceedings of the International School of Physics “Enrico Fermi”, Course LIX 1976 on “Local Properties at Phase Transitions” (edited by K.A. Müller and A. Rigamonti) Amsterdam: North-Holland 1976

    Google Scholar 

  6. Isihara, A.: Phys. Rev.108, 619 (1957)

    Google Scholar 

  7. Watson, P.G.: J. Phys. C1, 575 (1968)

    Google Scholar 

  8. Wildpanner, V., Rauch, H., Binder, K.: J. Phys. Chem. Solids34, 925 (1973)

    Google Scholar 

  9. Gerber, P.R.: Z. Physik B28, 103 (1977)

    Google Scholar 

  10. Höck, K.-H., Thomas, H.: Z. Physik B27, 267 (1977)

    Google Scholar 

  11. Schmidt, H., Schwabl, F.: Phys. Lett.61 A, 476 (1977)

    Google Scholar 

  12. Schneider, T., Stoll, E.: Phys. Rev. B16, 2220 (1977)

    Google Scholar 

  13. Schneider, T., Stoll, E., Beck, H.: Physica79 A, 201 (1975)

    Google Scholar 

  14. Maradudin, A.A., Montroll, E.W., Weiss, G.H., Ipatova, I.P.: Theory of Lattice Dynamics in the Harmonic Approximation, 2nd edition, New York and London: Academic Press 1971

    Google Scholar 

  15. Joyce, G.S.: In: ‘Phase Transitions and Critical Phenomena’, Vol. 2, (edited by C. Domb and M.S. Green). New York and London: Academic Press 1972

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Physik, Universität Basel, CH-4056, Basel, Switzerland

    R. Schäfer, H. Beck & H. Thomas

Authors
  1. R. Schäfer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Beck
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Thomas
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work Supported by The Swiss National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schäfer, R., Beck, H. & Thomas, H. The behaviour of an isolated impurity near a phase transition in a spherical-like model. Z Physik B 30, 223–229 (1978). https://doi.org/10.1007/BF01320989

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01320989

Keywords

Search

Navigation