Skip to main content

Superconductor-insulator transition with non-universal conductivity

Abstract

Motivated by experimental evidence for the importance of fermionic degrees of freedom near the superconductor-insulator transition, we take into account gapless electronic excitations for the description of the transition. Integrating them out yields a damping for the phase of the superconducting grains. We derive a Ginzburg-Landau-Wilson description for the onset of superfluidity which shows a non-ohmic dynamics. This dynamics depends qualitatively on the strength of the damping. Sufficiently strong damping modifies both, the critical behavior and the response near the transition. The critical exponents depend on the damping strength. The conductivity at the transition is finite but non-universal.

This is a preview of subscription content, access via your institution.

References

  1. [1]

    H.M. Jaeger, D.B. Haviland, B.G. Orr, and A.M. Goldman, Phys. Rev.B 40, 182 (1989); D.B. Haviland, Y. Liu, and A.M. Goldman, Phys. Rev. Lett.62, 2180 (1989); R.P. Barber, Jr. and R.C. Dynes, Phys. Rev.B 48, 10618 (1993); A. Yazdani and A. Kapitulnik, Phys. Rev. Lett.74, 3037 (1995). S.-Y. Hsu, J.A. Chervenak, and J.M. Valles, Jr. Phys. Rev. Lett.75, 132 (1995).

    Article  ADS  Google Scholar 

  2. [2]

    M.P.A. Fisher, G. Grinstein, and S.M. Girvin, Phys. Rev. Lett.64, 587 (1990); M.-C. Cha, M.P.A. Fisher, S.M. Girvin, M. Wallin, and A.P. Young, Phys. Rev.B 44, 6883 (1991).

    Article  ADS  Google Scholar 

  3. [3]

    S. Charravarty, G.-L. Ingold, S. Kivelson, and A. Luther,Phys. Lev. Lett.56, 2303 (1986); S. Chakravarty, G.-L. Ingold, S. Kivelson, and G. Zimanyi, Phys. Rev. B37 3283 (1988).

    Article  ADS  Google Scholar 

  4. [4]

    S. Doniach Phys. Rev. B24, 5063 (1981).

    Article  ADS  Google Scholar 

  5. [5]

    A. van Otterlo, K.-H. Wagenblast, R. Fazio, and G. Schön Phys. Rev. B48, 3316 (1993).

    Article  ADS  Google Scholar 

Download references

Author information

Affiliations

Authors

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Wagenblast, KH., Fazio, R., Schön, G. et al. Superconductor-insulator transition with non-universal conductivity. Czech J Phys 46, 607–608 (1996). https://doi.org/10.1007/BF02583611

Download citation

Keywords

  • Critical Exponent
  • Unpaired Electron
  • Critical Behavior
  • Quantum Phase Transition
  • Critical Coupling