Transport in vortex state of d-wave superconductors at zero temperature: Wiedemann-Franz violation

Details Transport in vortex state of d-wave superconductors at zero temperature: Wiedemann-Franz violation Transport in vortex state of d-wave superconductors at zero temperature: Wiedemann-Franz violation

2003-09-26

arxiv.org/abs/cond-mat/0309628v1

Physics

Condensed Matter

Superconductivity

7 figures

Scientific paper

10.1007/s10948-004-0832-6

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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