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We report a theoretical investigation of coherent-to-incoherent heat conduction in multilayer nanostructures. In the coherent regime where the phonon motion is quasi-harmonic, the elastic continuum model gives accurate cross-plane thermal conductivity predictions of upper limits and demonstrates that the coherent transport is the result of the interplay between intrinsic wave effects. As the temperature or system size increases, the phonon dephasing scattering results in the deviation of thermal conductivity from the coherent-limit calculation. By further introducing the incoherence of phonons, we reproduce the classical minimum thermal conductivity, indicating the feasibility of extending the pure wave model into the wave-particle crossing regime.


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Heat conduction of multilayer nanostructures with consideration of coherent and incoherent phonon transport

Show Author's information Bin Liu1Yangyu Guo2Vladimir I. Khvesyuk1Alexander A. Barinov1Moran Wang3( )
Department of Thermophysics, Bauman Moscow State Technical University, Moscow 105005, Russia
Institut Lumière Matière, Université Claude Bernard Lyon 1-CNRS, Université de Lyon, Villeurbanne 69622, France
Key Laboratory for Thermal Science and Power Engineering of Ministry of Education and Center for Flexible Electronics Technology, Tsinghua University, Beijing 100084, China

Abstract

We report a theoretical investigation of coherent-to-incoherent heat conduction in multilayer nanostructures. In the coherent regime where the phonon motion is quasi-harmonic, the elastic continuum model gives accurate cross-plane thermal conductivity predictions of upper limits and demonstrates that the coherent transport is the result of the interplay between intrinsic wave effects. As the temperature or system size increases, the phonon dephasing scattering results in the deviation of thermal conductivity from the coherent-limit calculation. By further introducing the incoherence of phonons, we reproduce the classical minimum thermal conductivity, indicating the feasibility of extending the pure wave model into the wave-particle crossing regime.

Keywords: thermal conductivity, GaAs/AlAs superlattices, coherent and incoherent phonon transport, continuum model

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Publication history
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Acknowledgements

Publication history

Received: 14 April 2022
Revised: 13 May 2022
Accepted: 22 May 2022
Published: 06 July 2022
Issue date: October 2022

Copyright

© Tsinghua University Press 2022

Acknowledgements

Acknowledgements

The authors thank the Tsinghua University Initiative Scientific Research Program for financial support.

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