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.
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B. C. Crooker, B. Hebral, E. N. Smith, Y. Takano, and J. D. Reppy,Phys. Rev. Lett. 51, 666 (1983).
M. H. W. Chan, K. I. Blum, S. Q. Murphy, G. K. S. Wong, and J. D. Reppy,Phys. Rev. Lett. 61, 1950 (1988).
D. S. Greywall and P. A. Busch,Phys. Rev. Lett. 67, 3535 (1991).
G. Zimmerli, G. Mistura, and M. H. W. Chan,Phys. Rev. Lett. 68, 60 (1992).
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).
D. B. Haviland, Y. Liu and, A. M. Goldman,Phys. Rev. Lett. 62, 2180 (1989).
M. P. A. Fisher, G. Grinstein, and S. M. Girvin,Phys. Rev. Lett. 64, 587 (1990).
S. M. Girvin, M. Wallin, E. S. Sørensen, A. P. Young, preprint, 1992.
M. A. Paalanen, A. F. Hebard and R. R. Ruel, preprint, 1992.
J. E. Mooij, B. J. van Wees, L. J. Geerlings, M. Peters, R. Fazio and G. Schön,Phys. Rev. B 65, 645 (1990).
C. Bruder, R. Fazio, A. Kampf, A. van Otterlo and G. Schön, preprint, 1992.
D. R. Nelson and H. S. Seung,Phys. Rev. B 39, 9153 (1989).
M. P. A. Fisher and D. H. Lee,Phys. Rev. B 39, 2756 (1989).
M. P. A. Fisher,Phys. Rev. Lett. 62, 1415 (1989).
R. H. Koch, V. Foglietti, W. J. Gallagher, G. Koren, A. Gupta, and M. P. A. Fisher,Phys. Rev. Lett. 63, 1511 (1989).
P. L. Gammel, L. F. Schneemeyer, and D. J. Bishop,Phys. Rev. Lett. 66, 953 (1991).
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).
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher,Phys. Rev. B 40, 546 (1989).
W. Krauth, N. Trivedi, and D. M. Ceperley,Phys. Rev. Lett. 67, 2307 (1991).
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).
R. T. Scalettar, G. G. Batrouni, and G. T. Zimanyi,Phys. Rev. Lett. 66, 3144 (1991).
E. L. Pollock and D. M. Ceperley,Phys. Rev. B 36, 8343 (1987).
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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
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DOI: https://doi.org/10.1007/BF00692579