  Lattice thermal conductivities of zincblende- and wurtzite-type compounds
with 33 combinations of elements are calculated with the single-mode
relaxation-time approximation and linearized phonon Boltzmann equation from
first-principles anharmonic lattice dynamics calculations. In 9 zincblende-type
compounds, distributions of phonon linewidths (inverse phonon lifetimes) are
discussed in detail. The phonon linewidths vary non-smoothly with respect to
wave vector, which is explained from the imaginary parts of the self energies.
It is presented that detailed combination of phonon-phonon interaction strength
and three phonon selection rule is critically important to determine phonon
lifetime for these compounds. This indicates difficulty to predict phonon
lifetime quantitatively without anharmonic force constants. However it is shown
that joint density of states weighted by phonon numbers, which is calculated
only from harmonic force constants, can be potentially used for a screening of
the lattice thermal conductivity of materials.
