Papers › A Unified Understanding of Minimum Lattice Thermal Conductivity
A Unified Understanding of Minimum Lattice Thermal Conductivity
Yi Xia, Dale Gaines II, Jiangang He, Koushik Pal, Mercouri G. Kanatzidis, Vidvuds Ozolins, Chris Wolverton
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We propose a first-principles model of minimum lattice thermal conductivity (κ_Lᵐⁱⁿ) based on a unified theoretical treatment of thermal transport in crystals and glasses. We apply this model to thousands of inorganic compounds and discover a universal behavior of κ_Lᵐⁱⁿ in crystals in the high-temperature limit: the isotropically averaged κ_Lᵐⁱⁿ is independent of structural complexity and bounded within a range from ∼0.1 to ∼2.6 W/[m·K], in striking contrast to the conventional phonon gas model which predicts no lower bound. We unveil the underlying physics by showing that for a given parent compound κ_Lᵐⁱⁿ is bounded from below by a value that is approximately insensitive to disorder, but the relative importance of different heat transport channels (phonon gas versus diffuson) depends strongly on the degree of disorder. Moreover, we propose that the diffuson-dominated κ_Lᵐⁱⁿ in complex and disordered compounds might be effectively approximated by the phonon gas model for an ordered compound by averaging out disorder and applying phonon unfolding. With these insights, we further bridge the knowledge gap between our model and the well-known Cahill-Watson-Pohl (CWP) model, rationalizing the successes and limitations of the CWP model in the absence of heat transfer mediated by diffusons. Finally, we construct graph network and random forest machine learning models to extend our predictions to all compounds within the Inorganic Crystal Structure Database (ICSD), which were validated against thermoelectric materials possessing experimentally measured ultralow κ_L. Our work offers a unified understanding of κ_Lᵐⁱⁿ, which can guide the rational engineering of materials to achieve κ_Lᵐⁱⁿ.
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