Thermal Transport by First-Principles Anharmonic Lattice Dynamics

Predictive methodologies for calculating lattice thermal transport and related properties have been recently developed and benchmarked successfully against measurements in a wide range of materials, from bulk to the nanoscale. This chapter presents an overview of the theoretical underpinnings of typical numerical methods for solving the Peierls-Boltzmann equation (PBE) for phonon transport when coupled with density functional theory (DFT). We discuss how these numerical methods may be employed to advance fundamental understanding of thermal transport, particularly as applied to measurements of anharmonic properties (e.g., linewidths, lattice expansion) in materials. In particular, calculations of interatomic force constants, integration methods, and construction of transport properties will be explained in detail with reference to relevant research in the literature. Furthermore, this chapter will provide an overview of applications and methods for calculations of thermal conductivities beyond perfect infinite crystals (including phonon-defect scattering) and of other measured observables, including mean free path accumulation, linewidths, and densities of states from scattering experiments.