Lattice Thermal Conductivity of MgSiO_3 Perovskite and Post-Perovskite under Lower Mantle Conditions Calculated by Deep Potential Molecular Dynamics

Lattice thermal conductivity (\kappa_\rm lat) of MgSiO_3 perovskite and post-perovskite is an important parameter for the thermal dynamics in the Earth. Here, we develop a deep potential of density functional theory quality under entire thermodynamic conditions in the lower mantle, and calculate the \kappa_\rm lat by the Green–Kubo relation. Deep potential molecular dynamics captures full-order anharmonicity and considers ill-defined phonons in low-\kappa_\rm lat materials ignored in the phonon gas model. The \kappa_\rm lat shows negative temperature dependence and positive linear pressure dependence. Interestingly, the \kappa_\rm lat undergos an increase at the phase boundary from perovskite to post-perovskite. We demonstrate that, along the geotherm, the \kappa_\rm lat increases by 18.2% at the phase boundary. Our results would be helpful for evaluating Earth's thermal dynamics and improving the Earth model.