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The effect of out-of-plane impurities on the thermal Hall conductivity$\kappa_{xy}$ of in-plane marginal-Fermi-liquid (MFL) quasiparticles inhigh-$T_c$ cuprates is examined by following the work on electrical Hallconductivity $\sigma_{xy}$ by Varma and Abraham [Phys. Rev. Lett. 86, 4652(2001)]. It is shown that the effective Lorentz force exerted by theseimpurities is a weak function of energies of the MFL quasiparticles, resultingin nearly the same temperature dependence of $\kappa_{xy}/T$ and $\sigma_{xy}$,indicative of obedience of the Wiedemann-Franz law. The inconsistency of thetheoretical result with the experimental one is speculated to be theconsequence of the different amounts of out-of-plane impurities in the twoYBaCuO samples used for the $\kappa_{xy}$ and $\sigma_{xy}$ measurements.Comment: 5 pages, 2 eps figures; final versio

physical review. b, condensed matter

Thermal Hall conductivity of marginal Fermi liquids subject to out-of-plane impurities in high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>cuprates

Thermal Hall conductivity of marginal Fermi liquids subject to out-of-plane impurities in high-Tccuprates