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Superfluid density near the critical temperature in the presence of random planar defects

D. Dalidovich, A. J. Berlinsky, and C. Kallin
Phys. Rev. B 78, 214508 – Published 8 December 2008
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  • INTRODUCTION
  • METHOD OF EXPANSION IN POWERS OF THE…
  • SUPERFLUID DENSITY
  • DISCUSSION AND CONCLUSIONS
  • ACKNOWLEDGEMENTS
  • APPENDICES
    • References

    Abstract

    The superfluid density near the superconducting transition is investigated in the presence of spatial inhomogeneity in the critical temperature. Disorder is accounted for by means of a random Tc term in the conventional Ginzburg-Landau action for the superconducting order parameter. Focusing on the case where a low density of randomly distributed planar defects is responsible for the variation in Tc, we derive the lowest-order correction to the superfluid density in powers of the defect concentration. The correction is calculated assuming a broad Gaussian distribution for the strengths of the defect potentials. Our results are in a qualitative agreement with the superfluid density measurements in the underdoped regime of high-quality YBCO crystals by Broun and co-workers.

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    • Received 7 August 2008

    DOI:https://doi.org/10.1103/PhysRevB.78.214508

    ©2008 American Physical Society

    Authors & Affiliations

    D. Dalidovich, A. J. Berlinsky, and C. Kallin

    • Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada L8S 4M1

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    Issue

    Vol. 78, Iss. 21 — 1 December 2008

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    • Figure 1
      Figure 1
      (Color online) Order parameter Ψ0(1) plotted as a function of x using Eq. (34) for m=2.0, b=1.0, and u=0.5 and two values of α shown in the figure.Reuse & Permissions
    • Figure 2
      Figure 2
      (Color online) Order parameter Ψ0(1) plotted as a function of x using Eq. (43) for m=2.0, b=1.0, and u=0.5 (a), u=−0.5 (b). The values of α corresponding to each curve are displayed in the figures.Reuse & Permissions
    • Figure 3
      Figure 3
      (Color online) The figures show the dependence of bρs¯(T) as a function of α(T)=a(T−Tc(0))/Tc(0) (a=1) calculated from Eq. (52) for the rescaled by means of Eq. (55) parameters ni=0.1, um=3W for figure (a) and ni=0.1, um=5W for figure (b), respectively. The widths of the disorder distribution W=0.0, W=0.1, and W=0.2 in both figures are represented by the solid, dashed, and dashed-dotted lines, respectively.Reuse & Permissions
    • Figure 4
      Figure 4
      (Color online) Measured superfluid density in the underdoped regime of YBa2Cu3O6.333 taken from Ref. 14. The data suggest the presence of decreasing superconducting response above some temperature. The meaning of the curves is explained in the text.Reuse & Permissions
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