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- W1990972497 abstract "Thermal transport in the mixed state of a $d$-wave superconductor is considered within the weak-field regime. We express the thermal conductivity, ${ensuremath{kappa}}_{xx}$, and the thermal Hall conductivity, ${ensuremath{kappa}}_{xy}$, 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 ${ensuremath{kappa}}_{xx}(H,T)$ and ${ensuremath{kappa}}_{xy}(H,T)$ in surprisingly good agreement with the qualitative features of the experimental results for ${mathrm{Y}mathrm{B}mathrm{a}}_{2}{mathrm{C}mathrm{u}}_{3}{mathrm{O}}_{6.99}$. In particular, we show that the simple, yet previously unexpected, weak-field behavior, ${ensuremath{kappa}}_{xy}(H,T)ensuremath{sim}Tsqrt{H}$, is that of thermally excited nodal quasiparticles, scattering primarily from impurities, with a small skew component provided by vortex scattering." @default.
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- W1990972497 date "2003-05-08" @default.
- W1990972497 modified "2023-10-18" @default.
- W1990972497 title "Weak-Field Thermal Hall Conductivity in the Mixed State of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>d</mml:mi></mml:math>-Wave Superconductors" @default.
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- W1990972497 doi "https://doi.org/10.1103/physrevlett.90.187002" @default.
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