Journal of Low Temperature Physics

, Volume 58, Issue 5–6, pp 425–438 | Cite as

Phase transitions on quantum crystal interfaces

  • S. V. Iordansky
  • S. E. Korshunov
Article

Abstract

The quantum solid-on-solid (SOS) model for the free surface of a crystal is studied at zero and finite temperatures. In addition to the usual roughening transition, this model also exhibits a superfluid transition. The phase diagram is constructed. We also formulate and study a quantum SOS model for the solid-liquid interface, which takes into account the motion and the compressibility of the liquid and solid. The existence of a phase transition at zero temperature is shown. The phases differ in the form of the excitation spectrum. In both interface models the interface at zero temperature is smooth. The quantum effects only slightly reduce the temperature of the roughening transition in comparison to the classical value.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. F. Andreev and A. Ya. Parshin,Zh. Eksp. Teor. Fiz. 75, 1511 (1978) [Sov. Phys. JETP 48, 763 (1978)].Google Scholar
  2. 2.
    K. O. Keshishev, A. Ya. Parshin, and A. B. Babkin,Pis'ma Zh. Eksp. Teor. Fiz. 30, 63 (1979) [JETP Lett. 30, 56 (1979)];Zh. Eksp. Teor. Fiz. 80, 716 (1981) [Sov. Phys. JETP 53, 362 (1981)].Google Scholar
  3. 3.
    D. S. Fisher and J. D. Weeks,Phys. Rev. Lett. 50, 1077 (1983).Google Scholar
  4. 4.
    S. V. Iordansky and S. E. Korshunov,Pis'ma Zh. Eksp. Teor. Fiz. 38, 542 (1983) [Sov. Phys. JETP Lett. 38, 655 (1983)] [Zh. Eksp. Teor. Fiz. 87 (1984), to be published].Google Scholar
  5. 5.
    E. Fradkin,Phys. Rev. B 28, 5338 (1983).Google Scholar
  6. 6.
    S. V. Iordansky and S. E. Korshunov,Pis'ma Zh. Eksp. Teor. Fiz. 39, 466 (1984) [Sov. Phys. JETP Lett. 39, 567 (1984).Google Scholar
  7. 7.
    V. L. Berezinsky,Zh. Eksp. Teor. Fiz. 59, 907 (1970).Google Scholar
  8. 8.
    V. L. Berezinsky,Zh. Eksp. Teor. Fiz. 61, 1144 (1971).Google Scholar
  9. 9.
    J. M. Kosterlitz and D. J. Thouless,J. Phys. C 5, L124 (1972);6, 1181 (1973).Google Scholar
  10. 10.
    J. M. Kosterlitz,J. Phys. C 7, 1046 (1974).Google Scholar
  11. 11.
    R. P. Feynman,Phys. Rev. 84, 108 (1951).Google Scholar
  12. 12.
    A. I. Vainshtein, V. J. Zakharov, V. A. Novikov, and M. A. Shifman,Usp. Fiz. Nauk 136, 553 (1982).Google Scholar
  13. 13.
    W. H. Burton and N. Cabrera,Disc. Faraday Soc. 5, 33 (1949); W. K. Burton, N. Cabrera, and F. C. Frank,Phil. Trans. R. Soc. Lond. 243A, 299 (1951).Google Scholar
  14. 14.
    S. T. Chui and J. D. Weeks,Phys. Rev. B 14, 4978 (1976); J. D. Weeks, inOrder in Strongly Fluctuating Condensed Matter Systems, T. Riste, ed. (Plenum, New York, 1980), p. 293.Google Scholar
  15. 15.
    L. Puech and B. Castaing,J. Phys. Lett. (Paris)43, 601 (1982).Google Scholar
  16. 16.
    S. V. Iordansky, S. E. Korshunov, and I. A. Larkin,Zh. Eksp. Teor. Fiz. 83, 2110 (1982).Google Scholar
  17. 17.
    J. E. Avron, L. S. Balfour, C. G. Kuper, J. Landau, S. G. Lipson, and L. S. Schulman,Phys. Rev. Lett. 45, 814 (1980).Google Scholar
  18. 18.
    S. Balibar and B. Castaing,J. Phys. Lett. (Paris)41, 329 (1980).Google Scholar
  19. 19.
    L. Puech, B. Herbal, D. Thoulouze, and B. Castaing,J. Phys. Lett. (Paris)44, 159 (1983).Google Scholar
  20. 20.
    P. E. Wolf, S. Balibar, and S. Gallet,Phys. Rev. Lett. 51, 1366 (1983).Google Scholar
  21. 21.
    L. D. Landau, inCollected Works (Nauka, Moscow, 1969), Vol. 2, p. 119.Google Scholar
  22. 22.
    R. H. Swendsen,Phys. Rev. B 17, 1370 (1978).Google Scholar
  23. 23.
    J. P. van der Eerden and H. J. F. Knops,Phys. Lett. 66A, 334 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • S. V. Iordansky
    • 1
  • S. E. Korshunov
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsUSSR Academy of SciencesMoscowUSSR

Personalised recommendations