Exact scattering cross section for lattice-defect scattering of phonons using the atomistic Green's function method

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Exact scattering cross section for lattice-defect scattering of phonons using the atomistic Green's function method
Title:
Exact scattering cross section for lattice-defect scattering of phonons using the atomistic Green's function method
Journal Title:
Physical Review B
Publication Date:
17 September 2024
Citation:
Ong, Z.-Y. (2024). Exact scattering cross section for lattice-defect scattering of phonons using the atomistic Green’s function method. Physical Review B, 110(10). https://doi.org/10.1103/physrevb.110.104306
Abstract:
The use of structurally complex lattice defects, such as functional groups, embedded nanoparticles, and nanopillars to generate phonon scattering is a popular approach in phonon engineering for thermoelectric applications. However, the theoretical treatment of this scattering phenomenon remains a formidable challenge, especially with regard to the determination of the scattering cross sections and rates associated with such lattice defects. Using the extended atomistic Green's function (AGF) method, we describe how the numerically exact mode-resolved scattering cross section šœŽ can be computed for a phonon scattered by a single lattice defect. We illustrate the generality and utility of the AGF-based treatment with two examples. In the first example, we treat the isotopic scattering of phonons in a harmonic chain of atoms. In the second example, we treat the more complex problem of phonon scattering in a carbon nanotube (CNT) containing an encapsulated C60 molecule which acts as a scatterer of the CNT phonons. The application of this method can enable a more precise characterization of lattice-defect scattering and result in a more controlled use of nanostructuring and lattice defects in phonon engineering for thermoelectric applications.
License type:
Publisher Copyright
Funding Info:
This research / project is supported by the Agency for Science, Technology and Research - Manufacturing, Trade and Connectivity (MTC) Programmatic Grant - Advanced Models for Additive Manufacturing (AM2)
Grant Reference no. : M22L2b0111

This research / project is supported by the Agency for Science, Technology and Research - Science and Engineering Research Council - Polymer Matrix Composites Program
Grant Reference no. : A19C9a004
Description:
ISSN:
2469-9950
2469-9969
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