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Superconductor-insulator transition in disordered boson-superlattices

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Zeitschrift für Physik B Condensed Matter

Abstract

We calculate the transport properties of a disordered Bose condensate. A superlattice made from two-dimensional planes of bosons in the condensate phase is considered. The disorder is due to charged impurities. We consider a homogeneous distribution of impurities and also impurities randomly distributed in planes. The dispersion relation of the collective excitations (plasmons) for the clean boson superlattice is calculated. The disorder induced phase transiton from a superfluid phase to an insulator phase is discussed and the static conductivity (σ c ) at the transition point is expressed in terms of the microscopic parameters of the model. For strongly coupled planes we find thatσ c is of ordere 2/h. The relation of our theoretical results to experiments with high-temperature superconductors is discussed.

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References

  1. Bednorz, G.J., Müller, K.A.: Rev. Mod. Phys.60, 585 (1988)

    Google Scholar 

  2. Micnas, R., Ranninger, J., Robaszkiewicz, S.: Rev. Mod. Phys.62, 113 (1990)

    Google Scholar 

  3. Randeria, M., Ji-Min Duan, Lih-Yir Shieh: Phys. Rev. B41, 327 (1990)

    Google Scholar 

  4. See, for example Anderson, P.W.: Science235, 1196 (1987); Wang, Y.R., Rice, M.J.: Phys. Rev. B38, 7163 (1988); Jongh, L.J. de: In: Advances in superconductivity. Kitazawa, K., Ishiguro, T. (eds.), p. 133. Berlin, Heidelberg, New York: Springer 1989

    Google Scholar 

  5. For a review of experimental results, see: Strong correlation and superconductivity. In: Springer Series in Solid State Sciences, Fukuyama, H., Maekawa, S., Malozemoff, A.P. (eds.), Vol. 89. Berlin, Heidelberg, New York: Springer 1989

  6. Griffin, A., Pindor, A.J.: Phys. Rev. B39, 11503 (1989)

    Google Scholar 

  7. Hines, D.F., Frankel, N.E.: Phys. Rev. B20, 972 (1979)

    Google Scholar 

  8. Triscone, J.-M., Fischer, Ø., Brunner, O., Antognazza, L., Kent, A.D., Karkut, M.G.: Phys. Rev. Lett.64, 804 (1990); Li, Q., Xi, X.X., Wu, X.D., Inam, A., Vadlamannati, S., Lean Mc, W.L., Venkatesan, T., Ramesh, R., Hwang, D.M., Martinez, J.A., Nazar, L.: ibid. Phys. Rev. Lett.64, 3086 (1990); Lowndes, D.H., Norton, D.P., Budai, J.D.: ibid. Phys. Rev. Lett.65, 1160 (1990) See also Triscone, J.-M., Karkut, M.G., Antognazza, L., Brunner, O., Fischer, Ø.: Phys. Rev. Lett.63, 1016 (1989); Wu, X.D., Xi, X.X., Li, Q., Inam, A., Dutta, B., DiDomenico, L., Weiss, C., Martinez, J.A., Wilkens, S.A., Schwarz, S.A., Barner, J.B., Chang, C.C., Nazar, L., Venkatesan, T.: Appl. Phys. Lett.56, 400 (1990)

    Google Scholar 

  9. Falco, C.M., Schuller, I.K.: In: Superconductivity ind- andf-band metals. Buckel, W., Weber, W. (eds.), p. 283. Karlsruhe: Kernforschungszentrum 1982

    Google Scholar 

  10. Karkut, M.G., Matijasevic, V., Antognazza, L., Triscone, J.-M., Missert, N., Beasley, M.R., Fischer, Ø.: Phys. Rev. Lett.60, 1751 (1988)

    Google Scholar 

  11. Missert, N., Beasley, M.R.:ibid.63, 672 (1989); Lee, S.J., Ketterson, J.B.: ibid. Phys. Rev. Lett.64, 3078 (1990)

    Google Scholar 

  12. Lee, P.A., Ramakrishnan, T.V.: Rev. Mod. Phys.57, 287 (1985)

    Google Scholar 

  13. Ramakrishnan, T.V.: Phys. Scr. T27, 24 (1989)

    Google Scholar 

  14. Dynes, R.C., White, A.E., Graybeal, J.M., Garno, J.P.: Phys. Rev. Lett.57, 2195 (1986); Markiewicz, R.S., Shiffman, C.A., Ho, W.: J. Low Temp. Phys.71, 175 (1988); Kubatkin, S.É., Landau, I.L.: Zh. Eksp. Teor. Fiz.90, 740 (1989) [Sov. Phys. JETP69, 420 (1989)]

    Google Scholar 

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

    Google Scholar 

  16. Gold, A.: Z. Phys. B—Condensed Matter52, 1 (1983); Phys. Rev. A33 652 (1986)

    Google Scholar 

  17. Gold, A.: (unpublished)

  18. Fisher, M.P.A., Grinstein, G., Girvin, S.M.:ibid.64, 587 (1990)

    Google Scholar 

  19. This work has been discussed in Gold, A.: (unpublished). See also Pang, T.: Phys. Rev. Lett.62, 2176 (1989)

    Google Scholar 

  20. Ellman, B., Jaeger, H.M., Katz, D.P., Rosenbaum, T.F., Cooper, A.S., Espinosa, G.P.: Phys. Rev. B39, 9012 (1989)

    Google Scholar 

  21. Valles Jr., J.M., White, A.E., Short, K.T., Dynes, R.C., Garno, J.P., Levi, A.F.J., Anzlowar, M., Baldwin, K.: Phys. Rev. B60, 11599 (1989)

    Google Scholar 

  22. Wang, T., Beauchamp, K.M., Berkley, D.D., Liu, J.-X., Johnson, B.R., Goldman, A.M.: Preprint (1990)

  23. Fetter, A.L.: Ann. Phys. (N.Y.)88, 1 (1974)

    Google Scholar 

  24. Lei, X.L., Horing, N.J.M., Zhang, J.Q.: Phys. Rev. B33, 2912 (1986)

    Google Scholar 

  25. Pines, D., Nozières, P.: The theory of quantum liquids. Vol. I. New York: Benjamin 1966

    Google Scholar 

  26. Götze, W., Wölfle, P.: Phys. Rev. B6, 1226 (1972)

    Google Scholar 

  27. Gold, A.: Phys. Rev. B36, 3268 (1987)

    Google Scholar 

  28. Laughlin, R.B.: Science242, 525 (1988)

    Google Scholar 

  29. Ioffe, A.F., Regel, A.R.: Prog. Semicond.4, 237 (1960)

    Google Scholar 

  30. Um, C.I., Kahng, W.H., Yim, E.S., George, T.F.: Phys. Rev. B41, 259 (1990)

    Google Scholar 

  31. Gold, A., Götze, W.: Phys. Rev. B33, 2495 (1986). See also Brenig, W.: Statistical theory of heat: nonequilibrium phenomena. Part III. Berlin, Heidelberg, New York: Springer 1989

    Google Scholar 

  32. Ma, M., Lee, P.A.: Phys. Rev. B32, 5658 (1985)

    Google Scholar 

  33. Uemura, Y.J., Luke, G.M., Sternlieb, B.J., Brewer, J.H., Carolan, J.F., Hardy, W.N., Kadono, R., Kempton, J.R., Kiefl, R.F., Kreitzman, S.R., Muhern, P., Riseman, T.M., Williams, D.Ll., Yang, B.X., Uchida, S., Takagi, H., Goplakrishnan, J., Sleight, A.W., Subramanian, M.A., Chien, C.L., Cieplak, M.Z., Gang, Xiao, Lee, V.Y., Statt, B.W., Stronach, C.E., Kossler, W.J. Yu, H.X.: Phys. Rev. Lett62, 2317 (1989)

    Google Scholar 

  34. Chen, C.Y., Preyer, N.W., Picone, P.J., Kastner, M.A., Jenssen, H.P., Grabbe, D.R., Cassanho, A., Birgeneau, R.J.: Phys. Rev. Lett.63, 2307 (1989)

    Google Scholar 

  35. Schlesinger, Z., Collins, R.T., Kaiser, D.L., Holtzberg F.: Phys. Rev. Lett.59, 1958 (1987)

    Google Scholar 

  36. Thomas, G.A., Orenstein, J., Rapkine, D.H., Capizzi, M., Millis, J., Bhatt, R.N., Schneemeyer, L.F., Waszczak, J.V.: Phys. Rev. Lett.61, 1313 (1988)

    Google Scholar 

  37. Wieck, A.D., Batke, E., Merkt, U., Walker, D., Gold, A.: Solid State Commun.69, 553 (1989)

    Google Scholar 

  38. Schutzmann, J., Ose, W., Keller, J., Renk, K.F., Roas, B., Schultz, L., Saemann-Ischenko, G.: Europhys. Lett.8, 679 (1989)

    Google Scholar 

  39. Cooper, S.L., Thomas, G.A., Orenstein, J., Rapkine, D.H., Capizzi, M., Timusk, T., Millis, A.J., Schneemeyer, L.F., Waszczak, J.V.: Phys. Rev. B40, 11358 (1989)

    Google Scholar 

  40. Kamaras, K., Herr, S.L., Porter, C.D., Tache, N., Tanner, D.B., Etemad, S., Venkatesan, T., Chase, E., Inam, A., Wu, X.D., Hedge, M.S., Dutta, B.: Phys. Rev. Lett.64, 84 (1990)

    Google Scholar 

  41. Williams, G.P., Budhani, R.C., Hirschmugl, C.J., Carr, G.L., Perkowitz, S., Lou, B., Yang, T.R.: Phys. Rev. B41, 4752 (1990)

    Google Scholar 

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  1. Department of Physics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    A. Gold

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Gold, A. Superconductor-insulator transition in disordered boson-superlattices. Z. Physik B - Condensed Matter 81, 155–164 (1990). https://doi.org/10.1007/BF01309344

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  • DOI: https://doi.org/10.1007/BF01309344

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