Phonon anharmonicity and thermal conductivity of two-dimensional van der Waals materials: A review
Xuefei Yan, Bowen Wang, Yulong Hai, Devesh R. Kripalani, Qingqing Ke,, and Yongqing Cai

TL;DR
This review discusses the mechanisms of phonon anharmonicity in 2D van der Waals materials and how it influences their thermal conductivity, providing insights for designing materials for energy and thermal management.
Contribution
It systematically summarizes and derives the phonon anharmonicity mechanisms in 2D vdW materials, including size-dependent thermal conductivity analysis.
Findings
Phonon anharmonicity involves three- and four-phonon interactions.
Thermal conductivity in 2D vdW materials is size-dependent.
The review provides methods to evaluate phonon anharmonicity.
Abstract
Two-dimensional (2D) van der Waals (vdW) materials have extraordinary thermal properties due to the effect of quantum confinement, making them promising for thermoelectric energy conversion and thermal management in microelectronic devices. In this review, the mechanism of phonon anharmonicity originating from three- and four-phonon interactions is derived. The phonon anharmonicity of 2D vdW materials, involving the Gr\"uneisen parameter, phonon lifetime, and thermal conductivity, is summarized and derived in detail. The size-dependent thermal conductivity of representative 2D vdW materials is discussed experimentally and theoretically. This review will present fundamental and advanced knowledge on how to evaluate the phonon anharmonicity in 2D vdW materials, which will aid the design of new structures and materials for applications related to energy transfer and conversion.
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