Advertisement

Lattice Dynamics of Quantum Gases Adsorbed on Graphite Investigated by Inelastic Neutron Scattering

  • V. L. P. Frank
  • H. J. Lauter
  • H. Godfrin
  • P. Leiderer
Part of the NATO ASI Series book series (NSSB, volume 257)

Abstract

During the last decade, substantial progress in the knowledge of the properties of two-dimensional (2D) matter has been achieved thanks to studies realized on monolayers of gases adsorbed on well characterized substrates like graphite. The existence of two relevant length scales in this problem, the adsorbate-adsorbate equilibrium distance and the separation between adsorption sites, leads to a rich phase diagram, where commensurate (C) and incommensurate (IC) structures can be present1,2. In a commensurate phase, the lack of translational invariance produces an energy gap (Δ) at the zone center in the acoustic branch of the phonon dispersion relation. The magnitude of this gap at low temperatures is related to the lateral variation of the adsorption potential, the so called corrugation. In an incommensurate phase, on the other hand, the translational invariance has been recovered and the phonon branches go to zero frequency at the zone center.

Keywords

Domain Wall Hydrogen Isotope Inelastic Neutron Adsorption Potential Reciprocal Lattice Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    N.D.Shrimpton, B.Joos and B.Bergersen, Phys. Rev. B 38, 2124 (1988)ADSCrossRefGoogle Scholar
  2. 2.
    J.Villain and M.B.Gordon, Surf. Sci. 125, 1 (1983)ADSCrossRefGoogle Scholar
  3. 3.
    V.L.P.Frank, H.J.Lauter and P.Leiderer, Phys.Rev.Lett. 61, 436 (1988)ADSCrossRefGoogle Scholar
  4. 4.
    H.J.Lauter, V.L.P.Frank, P.Leiderer and H.Wiechert, Physica B. 156–157, 280 (1989)Google Scholar
  5. 5.
    V.L.P.Frank, H.J.Lauter, H.Godfrin and P.Leiderer, “Phonons 89”, pp. 1001, Eds. S.Hunklinger, W. Ludwig, G.Weiss, World Scientific, Singapore, 1990. The value for the gap quoted in this work was 13 K. This corresponds to the peak value of the spectrum. Taking into account the convolution with the resolution function of the spectrometer shifts it down to 11 K.Google Scholar
  6. 6.
    V.L.P.Frank, H.J.Lauter and H.Taub, unpublished data.Google Scholar
  7. 7.
    T.Moeller, H.J.Lauter, V.L.P.Frank and P.Leiderer, in “Phonons 89”, pp. 919, Eds. S.Hunklinger, W. Ludwig, G.Weiss, World Scientific, Singapore, 1990Google Scholar
  8. 8.
    F.Y.Hansen, V.L.P.Frank, H.Taub, L.W.Bruch, H.J.Lauter and J.R.Dennison, Phys.Rev.Lett. 64, 764 (1990)ADSCrossRefGoogle Scholar
  9. 9.
    M.Bretz, J.G.Dash, D.C.Hickernell, E.O.McLean and O.E.Vilches, Phys.Rev. A 8, 1589 (1973)ADSCrossRefGoogle Scholar
  10. 10.
    Hering S., PhD. thesis, University of Washington, 1974Google Scholar
  11. 11.
    F.C.Motteler and J.G.Dash, Phys. Rev. B 31, 346 (1985)ADSCrossRefGoogle Scholar
  12. 12.
    F.A.B.Chaves, M.E.B.P.Cortez, R.E.Rapp and E.Lerner, Surf. Sci. 150, 80 (1985)ADSCrossRefGoogle Scholar
  13. 13.
    H.Freimuth and H.Wiechert, Surf. Sci. 162, 432 (1985)ADSCrossRefGoogle Scholar
  14. 14.
    H.Freimuth and H.Wiechert, Surf. Sci. 178, 716 (1986)ADSCrossRefGoogle Scholar
  15. 15.
    H.Freimuth and H.Wiechert, Surf. Sci. 189, 548 (1987)ADSCrossRefGoogle Scholar
  16. 16.
    Papyex is produced by Carbone Lorraine, 45 Rue des Acacias, F-75821 Paris Cedex 17Google Scholar
  17. 17.
    S.W. Lovesey, Theory of neutron scattering from condensed matter, Oxford Science Publications, Oxford (1986)Google Scholar
  18. 18.
    Taub H., Carneiro K., Kjems J.K. and Passell L., Phys.Rev B 16, 4551 (1977)ADSCrossRefGoogle Scholar
  19. 19.
    M.Nielsen, J.P.McTague and W.Ellenson, J.Phys.(Paris), Colloq. 38, C4–10 (1977)CrossRefGoogle Scholar
  20. 20.
    J.M.Gottlieb and L.W.Bruch, Phys. Rev. B 40, 148 (1989)ADSCrossRefGoogle Scholar
  21. J.M.Gottlieb and L.W.Bruch, Phs. Rev. B 41, 7195 (1990)ADSCrossRefGoogle Scholar
  22. 21.
    A.D.Novaco, Phys. Rev. Lett. 60, 2058 (1988)ADSCrossRefGoogle Scholar
  23. 22.
    H.J.Lauter, H.P.Schildberg, H.Godfrin, H.Wiechert and R.Haensel, Canad. J. Phys. 65, 1435 (1987) and references thereinGoogle Scholar
  24. J.Cui and S.C.Fain, J. of Vacuum Sci. Technology A5, 710 (1987)ADSCrossRefGoogle Scholar
  25. J.Cui, S.C.Fain, H.Freimuth, H.Wiechert, H.P.Schildberg and H.J.Lauter, Phys. Rev. Lett. 60, 1848 (1988)ADSCrossRefGoogle Scholar
  26. 23.
    V.L.P.Frank, H.J.Lauter and P.Leiderer, Jpn. J. Appl. Phys. Suppl. 26, 347 (1987)CrossRefGoogle Scholar
  27. 24.
    M.Nielsen, Phys. Rev. B 7, 1626 (1973)ADSCrossRefGoogle Scholar
  28. 25.
    V.L.P.Frank, H.J.Lauter, H.Godfrin and P.Leiderer, preliminary data obtained in a test measurement. The value of 11 K quoted for the gap takes into account the spectrometer resolution.Google Scholar
  29. 26.
    X.-Z. Ni and L.W.Bruch, Phys. Rev. B 33, 4584 (1986)ADSCrossRefGoogle Scholar
  30. 27.
    M.W.Cole, D.R.Frankl and D.L.Goodstein, Rev. Mod. Phys. 53, 199 (1981) and references contained therein.Google Scholar
  31. 28.
    W.A.Steele, “The Interaction of Gases with Solid Surfaces”, Pergamon, New York, 1974.Google Scholar
  32. 29.
    W.A.Steele, Surf. Sci. 36, 317 (1973)ADSCrossRefGoogle Scholar
  33. 30.
    E. de Rouffignac, G.P.Alldredge and F.W. de Wette, Phys. Rev. B 24, 6050 (1981)CrossRefGoogle Scholar
  34. F.W. de Wette, B.Firey and E. de Rouffignac, Phys. Rev. B 28, 4744 (1983)ADSCrossRefGoogle Scholar
  35. 31.
    R.A.Aziz and H.H.Chen, J. Chem. Phys. 67, 5179 (1977)CrossRefGoogle Scholar
  36. R.A.Aziz, V.P.S.Nain, J.S.Carley, W.L.Taylor and G.T. McConville, J. Chem. Phys. 70, 4330 (1979)ADSCrossRefGoogle Scholar
  37. 32.
    I.F.Silvera and V.V.Goldmann, J. Chem. Phys. 69, 4209 (1978)ADSCrossRefGoogle Scholar
  38. 33.
    M.Rigby, E.B. Smith, W.A.Wakeham and G.C.Maitland, “The Forces between Molecules”, Clarendon, Oxford, 1986.Google Scholar
  39. 34.
    K.T.Tang and J.P.Toennies, Z. Phys. D 1, 91 (1986)ADSCrossRefGoogle Scholar
  40. 35.
    A.D.Novaco and J.P.Wroblewski, Phys. Rev. B 39, 11364 (1989)ADSCrossRefGoogle Scholar
  41. 36.
    L.Mattera, F.Rosatelli, C.Salvo, F.Tommasini and U.Valbusa, Surf. Sci. 93, 515 (1980)ADSCrossRefGoogle Scholar
  42. E.Ghio, L.Mattera, C.Salvo, F.Tommasini and U.Valbusa, J. Chem. Phys. 73, 556 (1980)ADSCrossRefGoogle Scholar
  43. 37.
    L.W.Bruch, in “Phase Transitions in Surface Films”, NATO Advanced Study Institute, Erice, Italy, 19–30 June 1990Google Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • V. L. P. Frank
    • 1
    • 2
  • H. J. Lauter
    • 1
  • H. Godfrin
    • 1
  • P. Leiderer
    • 2
  1. 1.Institute Laue-LangevinGrenobleFrance
  2. 2.University of KonstanzKonstanz 1West Germany

Personalised recommendations