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Transport in Vortex State of d-Wave Superconductors at Zero Temperature: Wiedemann–Franz Violation

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Abstract

We show that the Wiedemann–Franz law is violated at zero temperature in the vortex state of a d-wave BCS superconductor with isotropic impurity scattering. We use a semiclassical approach to include the Doppler shift experienced by the quasiparticles due to the circulating supercurrents and consider as well the Andreev scattering from an array of vortices assumed to be randomly distributed. We also show that the vertex corrections to the electric conductivity, which can be large when there is significant anisotropy in the impurity scattering, become unimportant as the magnetic field is increased. For the thermal conductivity, the corrections remain negligible as in the absence of a magnetic field.

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Authors and Affiliations

  1. Department of Physics, University of Alberta, Edmonton, Alberta, Canada, T6G 2J1

    W. Kim & F. Marsiglio

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

    J. P. Carbotte

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  1. W. Kim
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  2. F. Marsiglio
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  3. J. P. Carbotte
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Kim, W., Marsiglio, F. & Carbotte, J.P. Transport in Vortex State of d-Wave Superconductors at Zero Temperature: Wiedemann–Franz Violation. J Supercond 17, 725–737 (2004). https://doi.org/10.1007/s10948-004-0832-6

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  • DOI: https://doi.org/10.1007/s10948-004-0832-6

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