Phase fluctuations, dissipation, and superfluid stiffness in d-wave superconductors

L. Benfatto, S. Caprara, C. Castellani, A. Paramekanti, and M. Randeria
Phys. Rev. B 63, 174513 – Published 16 April 2001
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Abstract

We study the effect of dissipation on quantum- and thermal-phase fluctuations in d-wave superconductors. Dissipation, arising from a nonzero low-frequency optical conductivity that has been measured in experiments below Tc, has two effects: (1) a reduction of zero-point phase fluctuations, and (2) a reduction of the temperature at which one crosses over to classical thermal fluctuations. For parameter values relevant to the cuprates, we show that the crossover temperature is still too large for classical phase fluctuations to play a significant role at low temperature. Quasiparticles are thus crucial in determining the linear temperature dependence of the in-plane superfluid stiffness. Thermal phase fluctuations become important at higher temperatures and play a role near Tc.

  • Received 28 September 2000

DOI:https://doi.org/10.1103/PhysRevB.63.174513

©2001 American Physical Society

Authors & Affiliations

L. Benfatto1, S. Caprara1, C. Castellani1, A. Paramekanti2, and M. Randeria2

  • 1Università di Roma “La Sapienza” and Istituto Nazionale per la Fisica della Materia, Unità di Roma 1, Piazzale Aldo Moro, 5, 00185 Roma, Italy
  • 2Tata Institute of Fundamental Research, Mumbai 400005, India

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Vol. 63, Iss. 17 — 1 May 2001

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