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Lattice thermal conductivity ($\kappa_{lat}$) of MgSiO$_3$ postperovskite(MgPPv) under the Earth's lower mantle high pressure-temperature conditions isstudied using the phonon quasiparticle approach by combing \textit{ab initio}molecular dynamics and lattice dynamics simulations. Phonon lifetimes areextracted from the phonon quasiparticle calculations, and the phonon groupvelocities are computed from the anharmonic phonon dispersions, which inprinciple capture full anharmonicity. It is found that throughout the lowermostmantle, including the D" region, $\kappa_{lat}$ of MgPPv is ~25% larger thanthat of MgSiO$_3$ perovskite (MgPv), mainly due to MgPPv's higher phononvelocities. Such a difference in phonon velocities between the two phasesoriginates in the MgPPv's relatively smaller primitive cell. Systematic resultsof temperature and pressure dependences of both MgPPv's and MgPv's$\kappa_{lat}$ are demonstrated.

\textit{Ab initio} lattice thermal conductivity of MgSiO$_3$ across perovskite-postperovskite phase transition