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Thermal Hall conductivity of marginal Fermi liquids subject to out-of plane impurities in high-$T_c$ cuprates

Mei-Rong Li
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Abstract

The effect of out-of-plane impurities on the thermal Hall conductivity $κ_{xy}$ of in-plane marginal-Fermi-liquid (MFL) quasiparticles in high-$T_c$ cuprates is examined by following the work on electrical Hall conductivity $σ_{xy}$ by Varma and Abraham [Phys. Rev. Lett. 86, 4652 (2001)]. It is shown that the effective Lorentz force exerted by these impurities is a weak function of energies of the MFL quasiparticles, resulting in nearly the same temperature dependence of $κ_{xy}/T$ and $σ_{xy}$, indicative of obedience of the Wiedemann-Franz law. The inconsistency of the theoretical result with the experimental one is speculated to be the consequence of the different amounts of out-of-plane impurities in the two YBaCuO samples used for the $κ_{xy}$ and $σ_{xy}$ measurements.

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Mei-Rong Li. 2002-06-09. Thermal Hall conductivity of marginal Fermi liquids subject to out-of plane impurities in high-$T_c$ cuprates. https://doi.org/10.1103/physrevb.65.184515

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