Journal of Low Temperature Physics

, Volume 89, Issue 1–2, pp 67–77 | Cite as

Superfluid-insulator transition in disordered boson systems

  • Nandini Trivedi
  • Salman Ullah
Papers Based On Oral Presentations

Abstract

We review the localization problem in two dimensions for interacting bosons in a random potential. This problem is intimately related to the study of4He adsorbed in porous media, Josephson junction arrays, disordered superconducting films and vortex glasses. Using path integral Monte Carlo techniques, we find a superfluid, a localized or ‘Bose glass’ insulator with gapless excitations, and (at commensurate densities) a Mott insulator with a finite gap to excitations.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    B. C. Crooker, B. Hebral, E. N. Smith, Y. Takano, and J. D. Reppy,Phys. Rev. Lett. 51, 666 (1983).Google Scholar
  2. 2.
    M. H. W. Chan, K. I. Blum, S. Q. Murphy, G. K. S. Wong, and J. D. Reppy,Phys. Rev. Lett. 61, 1950 (1988).Google Scholar
  3. 3.
    D. S. Greywall and P. A. Busch,Phys. Rev. Lett. 67, 3535 (1991).Google Scholar
  4. 4.
    G. Zimmerli, G. Mistura, and M. H. W. Chan,Phys. Rev. Lett. 68, 60 (1992).Google Scholar
  5. 5.
    G. P. Crawford, L. M. Steele, R. Ondris-Crawford, G. S. Iannacchione, C. J. Yeager, J. W. Doane, and D. Finotello,J. Chem. Phys. 96, 7788 (1992).Google Scholar
  6. 6.
    D. B. Haviland, Y. Liu and, A. M. Goldman,Phys. Rev. Lett. 62, 2180 (1989).Google Scholar
  7. 7.
    M. P. A. Fisher, G. Grinstein, and S. M. Girvin,Phys. Rev. Lett. 64, 587 (1990).Google Scholar
  8. 8.
    S. M. Girvin, M. Wallin, E. S. Sørensen, A. P. Young, preprint, 1992.Google Scholar
  9. 9.
    M. A. Paalanen, A. F. Hebard and R. R. Ruel, preprint, 1992.Google Scholar
  10. 10.
    J. E. Mooij, B. J. van Wees, L. J. Geerlings, M. Peters, R. Fazio and G. Schön,Phys. Rev. B 65, 645 (1990).Google Scholar
  11. 11.
    C. Bruder, R. Fazio, A. Kampf, A. van Otterlo and G. Schön, preprint, 1992.Google Scholar
  12. 12.
    D. R. Nelson and H. S. Seung,Phys. Rev. B 39, 9153 (1989).Google Scholar
  13. 13.
    M. P. A. Fisher and D. H. Lee,Phys. Rev. B 39, 2756 (1989).Google Scholar
  14. 14.
    M. P. A. Fisher,Phys. Rev. Lett. 62, 1415 (1989).Google Scholar
  15. 15.
    R. H. Koch, V. Foglietti, W. J. Gallagher, G. Koren, A. Gupta, and M. P. A. Fisher,Phys. Rev. Lett. 63, 1511 (1989).Google Scholar
  16. 16.
    P. L. Gammel, L. F. Schneemeyer, and D. J. Bishop,Phys. Rev. Lett. 66, 953 (1991).Google Scholar
  17. 17.
    L. Civale, A. D. Marwick, T. K. Worthington, M. A. Kirk, J. R. Thompson, L. Krusin-Elbaum, Y. Sun, J. R. Clem and F. Holtzberg,Phys. Rev. Lett. 67, 648 (1991).Google Scholar
  18. 18.
    M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher,Phys. Rev. B 40, 546 (1989).Google Scholar
  19. 19.
    W. Krauth, N. Trivedi, and D. M. Ceperley,Phys. Rev. Lett. 67, 2307 (1991).Google Scholar
  20. 20.
    Quantum Monte Carlo Simulations for Disordered Boson Systems N. Trivedi, in Computer Simulations in Condensed Matter Physics V, eds. D. P. Landau, K. K. Mon, and H. B. Schuttler, (Springer Verlag, Heidelberg, Berlin, 1992).Google Scholar
  21. 21.
    R. T. Scalettar, G. G. Batrouni, and G. T. Zimanyi,Phys. Rev. Lett. 66, 3144 (1991).Google Scholar
  22. 22.
    E. L. Pollock and D. M. Ceperley,Phys. Rev. B 36, 8343 (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • Nandini Trivedi
    • 1
  • Salman Ullah
    • 2
  1. 1.Materials Science Division, Bldg. 223Argonne National LaboratoryArgonne
  2. 2.James Franck InstituteChicago

Personalised recommendations