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Journal of Experimental and Theoretical Physics

, Volume 89, Issue 4, pp 781–787 | Cite as

Quantum glass transition in a periodic long-range Josephson array

  • D. M. Kagan
  • M. V. Feigel’man
  • L. B. Ioffe
Electronic Properties

Abstract

We show that the ground state of a periodic long-range Josephson array frustrated by a magnetic field is a glass for sufficiently large Josephson energies despite the absence of quenched disorder. Like superconductors, this glass state has non-zero phase stiffness and Meissner response; for lower Josephson energies the glass “melts” and the ground state loses its phase stiffness and becomes insulating. We find the critical scaling behavior near this quantum phase transition: the excitation gap vanishes as (JJ c )2, and the frequency-dependent magnetic susceptibility behaves as \(\chi (\omega ) \propto \sqrt \omega \ln \omega\).

Keywords

Magnetic Field Phase Transition Field Theory Elementary Particle Glass Transition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. P. Bouchaud and M. Mezard, J. Phys. I 4, 1109 (1994); S. Franz and J. Herz, Phys. Rev. Lett. 74, 2114 (1995); L. F. Cugliandolo, J. Kurchan, R. Monasson, and G. Parisi, J. Phys. A 29, 1347 (1996).Google Scholar
  2. 2.
    E. Marinari, G. Parisi, and F. Ritort, J. Phys. A 28, 4481 (1995); M. Potters and G. Parisi, J. Phys. A 28, 5267 (1996) and references therein.ADSMathSciNetGoogle Scholar
  3. 3.
    J.-P. Bouchaud, L. Cugliandolo, J. Kurchan, and M. Mezard, Physica A 226, 243 (1996).CrossRefADSGoogle Scholar
  4. 4.
    P. Chandra, L. B. Ioffe, and D. Sherrington, Phys. Rev. Lett. 75, 713 (1995).CrossRefADSGoogle Scholar
  5. 5.
    P. Chandra, M. V. Feigelman, and L. B. Ioffe, Phys. Rev. Lett. 76, 4805 (1996).CrossRefADSGoogle Scholar
  6. 6.
    P. Chandra, M. V. Feigelman, M. E. Gershenson, and L. B. Ioffe, in Complex Behavior of Glassy Systems, ed. by M. Rubi and C. Perez-Vicente, Springer-Verlag, Berlin (1997), p. 376.Google Scholar
  7. 7.
    P. Chandra, M. V. Feigelman, L. B. Ioffe, and D. M. Kagan, Phys. Rev. B 56, 11553 (1997).Google Scholar
  8. 8.
    H. R. Shea and M. Tinkham, E-prints archive cond-mat/9706179.Google Scholar
  9. 9.
    J. Miller and D. A. Huse, Phys. Rev. Lett. 70, 3147 (1993).CrossRefADSGoogle Scholar
  10. 10.
    J. Ye, S. Sachdev, and N. Read, Phys. Rev. Lett. 70, 4011 (1993).CrossRefADSGoogle Scholar
  11. 11.
    N. Read, S. Sachdev, and J. Ye, Phys. Rev. B 52, 384 (1995).ADSGoogle Scholar
  12. 12.
    J. Jose and T. K. Kopec, Phys. Rev. B 52, 16140 (1995).Google Scholar
  13. 13.
    M. Mezard, G. Parisi, N. Sourlas, G. Toulouse, and M. Virasoro, J. de Phys. 45, 843 (1984); M. Mezard, G. Parisi, and M. Virasoro, J. de Phys. Lett. 46, L217 (1985).MathSciNetGoogle Scholar
  14. 14.
    A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996); L. B. Ioffe et al., Nature 398, 679 (1999).CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    L. Cugliandolo and G. Lozano, Phys. Rev. Lett. 80, 4979 (1998).CrossRefADSGoogle Scholar
  16. 16.
    H. S. J. van der Zant, F. C. Fritschy, W. J. Elion, L. J. Geerlings, and J. E. Mooji, Phys. Rev. Lett. 69, 2971 (1992); H. S. J. van der Zant, W. J. Elion, L. J. Geerlings, and J. E. Mooji, Phys. Rev. B 54, 10081 (1996).ADSGoogle Scholar
  17. 17.
    P. Delsing, C. D. Chen, D. B. Haviland, Y. Harada, and T. Claeson, Phys. Rev. B 50, 3959 (1994).CrossRefADSGoogle Scholar
  18. 18.
    R. Fazio and G. Schön, Phys. Rev. B 43, 5307 (1991); R. Fazio et al., Helv. Phys. Acta 65, 228 (1992).CrossRefADSGoogle Scholar
  19. 19.
    V. M. Vinokur, L. B. Ioffe, A. I. Larkin, and M. V. Feigelman, Zh. Éksp. Teor. Fiz. 93, 343 (1987) [Sov. Phys. JETP 66, 198 (1987)].ADSMathSciNetGoogle Scholar
  20. 20.
    D. Sherrington and S. Kirkpatrick, Phys. Rev. B 35, 1792 (1975).ADSGoogle Scholar
  21. 21.
    D. J. Thouless, P. W. Anderson, and R. G. Palmer, Philos. Mag. 35, 593 (1977).Google Scholar

Copyright information

© American Institute of Physics 1999

Authors and Affiliations

  • D. M. Kagan
    • 1
    • 3
  • M. V. Feigel’man
    • 1
  • L. B. Ioffe
    • 1
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Department of PhysicsRutgers UniversityPiscatawayUSA
  3. 3.ABBYYMoscowRussia

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