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

Abstract

We study the effect of dissipation on quantum phase fluctuations in d-wave superconductors. Dissipation, arising from a nonzero low frequency optical conductivity which has been measured in experiments below $T_c$, 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 $T_c$.

Presentation improved, new references added (10 latex pages, 3 eps figures). submitted to PRB

References in corpus (3)

• Renormalization of spectral lineshape and dispersion below Tc in Bi2Sr2CaCu2O8+d
• Nodal Quasiparticle Lifetime in the Superconducting State of BSCCO(2212)
• On Effect of Equilibrium Fluctuations on Superfluid Density in Layered Superconductors

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