Entropy transport in high-Tc superconductors in the fluctuation regime

Abstract

Making use of the expression for the heat current associated with the space-time-dependent order parameter for the s-wave superconductor, we calculate, in the clean limit, the heat current induced by an electric field. In the absence of a magnetic field we find an extra Peltier coefficient associated with the fluctuations, which diverges logarithmically as the temperature T approaches the transition temperature Tc. In the presence of a magnetic field perpendicular to the ab plane, the fluctuation gives rise to the Ettingshausen effect. In a small magnetic field, the corresponding entropy transported by magnetic flux is calculated: 〈Sφ〉f=[2π3τT/21ζ(3)d](h/ɛ)(1 +2α)−1/2 where τ and d are the transport lifetime and the interlayer spacing, ζ(3)=1.202. . ., h=2eξa2B, ɛ=ln(T/Tc), and α=2(ξc/d)2ɛ−1. The result is compared with a recent observation of the Ettinghausen effect in a single crystal of YBa2Cu3O7.

Source-reported materials — not catalogue approval

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