Skip to main content
Log in

Superfluid-insulator transition in disordered boson systems

  • Papers Based On Oral Presentations
  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

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.

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. B. C. Crooker, B. Hebral, E. N. Smith, Y. Takano, and J. D. Reppy,Phys. Rev. Lett. 51, 666 (1983).

    Google Scholar 

  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. D. S. Greywall and P. A. Busch,Phys. Rev. Lett. 67, 3535 (1991).

    Google Scholar 

  4. G. Zimmerli, G. Mistura, and M. H. W. Chan,Phys. Rev. Lett. 68, 60 (1992).

    Google Scholar 

  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. D. B. Haviland, Y. Liu and, A. M. Goldman,Phys. Rev. Lett. 62, 2180 (1989).

    Google Scholar 

  7. M. P. A. Fisher, G. Grinstein, and S. M. Girvin,Phys. Rev. Lett. 64, 587 (1990).

    Google Scholar 

  8. S. M. Girvin, M. Wallin, E. S. Sørensen, A. P. Young, preprint, 1992.

  9. M. A. Paalanen, A. F. Hebard and R. R. Ruel, preprint, 1992.

  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. C. Bruder, R. Fazio, A. Kampf, A. van Otterlo and G. Schön, preprint, 1992.

  12. D. R. Nelson and H. S. Seung,Phys. Rev. B 39, 9153 (1989).

    Google Scholar 

  13. M. P. A. Fisher and D. H. Lee,Phys. Rev. B 39, 2756 (1989).

    Google Scholar 

  14. M. P. A. Fisher,Phys. Rev. Lett. 62, 1415 (1989).

    Google Scholar 

  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. P. L. Gammel, L. F. Schneemeyer, and D. J. Bishop,Phys. Rev. Lett. 66, 953 (1991).

    Google Scholar 

  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. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher,Phys. Rev. B 40, 546 (1989).

    Google Scholar 

  19. W. Krauth, N. Trivedi, and D. M. Ceperley,Phys. Rev. Lett. 67, 2307 (1991).

    Google Scholar 

  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).

  21. R. T. Scalettar, G. G. Batrouni, and G. T. Zimanyi,Phys. Rev. Lett. 66, 3144 (1991).

    Google Scholar 

  22. E. L. Pollock and D. M. Ceperley,Phys. Rev. B 36, 8343 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Trivedi, N., Ullah, S. Superfluid-insulator transition in disordered boson systems. J Low Temp Phys 89, 67–77 (1992). https://doi.org/10.1007/BF00692579

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00692579

Keywords

Navigation