Thermal Hall Conductivity of High Temperature Superconductors: Quantization and Scaling

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Presented is the theory of thermal Hall conductivity $κ_{xy}$ in the vortex state of high temperature cuprate superconductors in the clean limit. We show that $\lim_{T \to 0} κ_{xy}/T$ is a {\em staircase} function of 1/B with an envelope that scales as 1/B. The relation to the experiments is discussed.
3 pages, 3 figures

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