Four-phonon scattering significantly reduces intrinsic thermal conductivity of solids

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Wigner Formulation of Thermal Transport in Solids (2021, background): “(42)) as well as for higher-than-third-order phonon scattering processes [20, 99] in the collision operator (38).”
Colloquium: Phononic thermal properties of two-dimensional materials (2017, background): “…studies have shown that four-phonon scatterings might be important for bulk semiconductors with a large frequency gap, such as boron arsenide, due to the much larger phonon scattering phase space of four-phonon scatterings compared to the three-phonon scatterings (Feng, Lindsay, and Ruan, 2017).”