Three-phonon phase space and lattice thermal conductivity in semiconductors

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Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons (2015, background): “Though higher-order scattering processes are predicted to be significantly weaker than three-phonon processes [143, 144], they may become important for optic modes with severely restricted three-phonon phase space, especially at higher temperatures.”
ShengBTE: A solver of the Boltzmann transport equation for phonons (2014, background): “When the only scattering sources are the two- and three-phonon processes, the resulting linearized BTE can then be written as [8,9,40,17,16]:”
Survey of ab initio phonon thermal transport (2018, background): “semiconductors [67], four-phonon scattering rates from simple models of carbon nanotubes [68], and qualitative assessment of”
Lattice thermal conductivity of penta-graphene (2016, background): “To find out which scattering channels manipulate the three-phonon scattering, we examine the allowed three-phonon phase space P3 including both the absorption (P3þ) and the emission (P3 ) processes [42].”