Continuous Two-Dimensional Melting of Vortex-Solid in High Temperature Superconductors

Abstract

A model of continuous two-dimensional melting in the mixed state of high temperature superconductors is proposed. Two-dimensional melting sets in at a cross-over temperature Tx(H) below the three-dimensinal phase transition Tx(H) due to finite size effects, and Tx(H) is a function of the sample thickness (lc), applied magnetic field (H), and k(= λ/ξ) For a given zero-field transition temperature Tc0 and material properties, (such as defect density), the onset temperature of 2D-melting (Tx(H)) decreases with decreasing sample thickness and increasing magnetic field. In transport studies, thermally induced melting is further complicated by the depinning effect of high current densities.

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

References

  1. 1

    D. R. Nelson and H. S. Seung, Phys. Rev. B3.9, 9153 (1989).

    CAS  Article  Google Scholar 

  2. 2

    M. P. A. Fisher, Phys. Rev. Lett. 62, 1415 (1988).

    Article  Google Scholar 

  3. 3

    N.-C. Yeh, Phys. Rev. B40, 4566 (1989).

    CAS  Article  Google Scholar 

  4. 4

    E. H. Brandt, Phys. Rev. Lett. 63, 1106 (1989).

    CAS  Article  Google Scholar 

  5. 5

    P. L. Gammel, L. F. Schneemeyer, J. V. Waszczak, and D. J. Bishop, Phys. Rev. Lett, 61, 1666 (1988).

    CAS  Article  Google Scholar 

  6. 6

    T. T. M. Palstra, B. Batlogg, L. F. Schneemeyer, and J. V. Waszczak, Phys. Rev. Lett, 61, 1662 (1988).

    CAS  Article  Google Scholar 

  7. 7

    M. Tinkham, Phys. Rev. Lett. 61, 1658 (1988).

    CAS  Article  Google Scholar 

  8. 8

    A. P. Malozemoff, T. K. Worthington, E. Zeldov, N.-C. Yeh, M. W. McElfresh, and F. Holtzberg, in “Strong Correlations and Superconductivity”, Springer Verlag, Heidelberg (1989), ed. by H. Fukuyama, S. Maekawa, and A. P. Malozemoff.

    Google Scholar 

  9. 9

    R. Koch, V. Foglietti, W. J. Gallagher, G. Koren, A. Gupta, and M. P. A. Fisher, Phys. Rev. Lett. 61, 1511 (1989).

    Article  Google Scholar 

  10. 10

    T. K. Worthington, F. Holtzberg, and C. Field, preprint.

  11. 11

    P. C. Hohenberg, A. Aharony, B. I. Halperin, and E. D. Siggia, Phys. Rev. B13, 2986 (1979).

    Article  Google Scholar 

  12. 12

    N.-C. Yeh, to be published.

  13. 13

    B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978).

    CAS  Article  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to N. C. Yeh.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Yeh, N.C. Continuous Two-Dimensional Melting of Vortex-Solid in High Temperature Superconductors. MRS Online Proceedings Library 169, 23–26 (1989). https://doi.org/10.1557/PROC-169-23

Download citation