Weak-Field Thermal Hall Conductivity in the Mixed State of d-Wave Superconductors

Abstract

Thermal transport in the mixed state of a d-wave superconductor is considered within the weak-field regime. We express the thermal conductivity, ${\kappa }_{xx}$, and the thermal Hall conductivity, ${\kappa }_{xy}$, in terms of the cross section for quasiparticle scattering from a single vortex. Solving for the cross section (neglecting the Berry phase contribution and the anisotropy of the gap nodes), we obtain ${\kappa }_{xx}(H,T)$ and ${\kappa }_{xy}(H,T)$ in surprisingly good agreement with the qualitative features of the experimental results for YBa${}_2$Cu${}_3$O${}_{6.99}$. In particular, we show that the simple, yet previously unexpected, weak-field behavior, ${\kappa }_{xy}(H,T)\sim T\sqrt{H}$, is that of thermally-excited nodal quasiparticles, scattering primarily from impurities, with a small skew component provided by vortex scattering.

5 pages, 2 figures; final version as published in Phys Rev Lett

References in corpus (2)

• Quasiparticle Hall Transport of d-wave Superconductors in Vortex State
• Dirac Nodes and Quantized Thermal Hall Effect in the Mixed State of d-wave Superconductors

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