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Ground state and excitations of disordered boson systems

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Abstract

After an introduction to the dirty bosons problem, we present a gaussian theory for the ground state and excitations. This approach is physically equivalent to the Bogoliubov approximation. We find that ODLRO can be destroyed with sufficient disorder. The density of states and localization of the elementary excitations are discussed.

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References

  1. P. W. Anderson, Phys. Rev.109, 1492 (1958).

    Google Scholar 

  2. N. F. Mott and E. A. Davis, Electronic Processes in Non- Crystalline Processes. Oxford: Clarendon Press (1971).

    Google Scholar 

  3. C. Castellani et al., Phys. Rev. B33, 6169 (1986); C. Castellani, G. Kotliar and P. A. Lee, Phys. Rev. Lett.,59, 323 (1987).

    Google Scholar 

  4. See J. D. Reppy, J Low Temp. Phys,87, 205 (1992). and references therein.

    Google Scholar 

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

    Google Scholar 

  6. A. F. Hebard and M. A. Paalanen, Phys. Rev. Lett.,65, 927 (1990); Phys. Rev. Lett.,69, 1604 (1992).

    Google Scholar 

  7. D. J. Thouless, Phys. Rep.13C, 93 (1974).

    Google Scholar 

  8. M. E. Fisher, M. N. Barber and D. Jasnow, Phys. Rev. B8, 1111 (1973).

    Google Scholar 

  9. For a recent discussion of the various criteria of superfluidity, see D. J. Scalapino, S. R. White and S. C. Zhang, Phys. Rev. Lett.,68, 2830 (1992).

    Google Scholar 

  10. M. Ma, B.I. Halperin and P.A. Lee, Phys. Rev. B,34, 3136 (1986).

    Google Scholar 

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

    Google Scholar 

  12. T. Giamarchi and H.J. Schulz, Phys. Rev. B,37, 325 (1988).

    Google Scholar 

  13. L. Zhang and M. Ma, Phys. Rev. A,37, 960 (1988).

    Google Scholar 

  14. L. Zhang and M. Ma, Phys. Rev. B,45, 4855 (1992); L. Zhang, X.Q. Wang, Phys. Rev. B,47, 11518 (1993).

    Google Scholar 

  15. L. Zhang, Phys. Rev. B,47, 14364 (1993).

    Google Scholar 

  16. K.G. Singh and D.S. Rokhsar, Phys. Rev. B,46, 3002 (1992).

    Google Scholar 

  17. K. Runge, Phys. Rev. B,45, 13136 (1992).

    Google Scholar 

  18. W. Krauth and N. Trivedi, Europhys. Lett.14, 627 (1991); N. Trivedi, D.M. Ceperley, and W. Krauth and N. Trivedi, Phys. Rev. Lett.,67, 2307 (1991); R.T. Scalettar, G.G. Batrouni, and G.T. Zimanyi, Phys. Rev. Lett.,66, 3144 (1991); E.S. Sorensen, M. Wallin, S.M. Girvin and A.P. Young, Phys. Rev. Lett.,69, 828 (1992); M. Makivic, N. Trivedi and S. Ullah, unpublished.

    Google Scholar 

  19. P. Nisamaneephong, M. Ma and L. Zhang, to be published.

  20. See for example J. W. Negele and H. Orland,Quantum Many- Particle Systems, Addison-Wesley (1987).

  21. D. K. K. Lee and J. M. F. Gunn, J. Phys. C2, 7753 (1990).

    Google Scholar 

  22. K. Huang and H. F. Meng, Phys. Rev. Lett.,69, 644 (1992).

    Google Scholar 

  23. K. G. Singh and D. S. Pokshar, to be published.

  24. T. Holstein and H. Primakoff, Phys. Rev.,58, 1908 (1940).

    Google Scholar 

  25. E.M. Lifshitz and L.P. Pitaevskii,Statistical Physics (Part 2), Pergamon Press (1980); G.D. Mahan,Many Particle Physics Plenum, 2nd Edition, (1990).

  26. E. Lieb, T. Schultz and D. Mattis, Ann. Phys. (N.Y.),16, 407 (1961).

    Google Scholar 

  27. See for example V. N. Popov,Functional Integrals in Quantum Field Theory and Stat. Phys., Kluwer Academic Pub. (1983).

  28. T. Kennedy, E.H. Lieb and B.S. Shastry, Phys. Rev. Lett.,61, 2582 (1988).

    Google Scholar 

  29. K. Ishii, Suppl. of the Theor. Phys.,53, 77 (1973).

    Google Scholar 

  30. S. John and M. Stephen, Phys. Rev. B,28, 6358 (1983).

    Google Scholar 

  31. J. D. Reppy, J Low Temp. Phys, to be published.

  32. See for example K HuangStatistical Mechanics.

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Ma, M., Nisamaneephong, P. & Zhang, L. Ground state and excitations of disordered boson systems. J Low Temp Phys 93, 957–969 (1993). https://doi.org/10.1007/BF00692042

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