Heat Transport Driven by the Coupling of Polaritons and Phonons in a Polar Nanowire

Yangyu Guo, Masahiro Nomura, Sebastian Volz and Jose Ordonez-Miranda
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Yangyu Guo: Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan
Masahiro Nomura: Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan
Sebastian Volz: Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan
Jose Ordonez-Miranda: Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan

Energies, 2021, vol. 14, issue 16, 1-11

Abstract: Heat transport guided by the combined dynamics of surface phonon-polaritons (SPhPs) and phonons propagating in a polar nanowire is theoretically modeled and analyzed. This is achieved by solving numerically and analytically the Boltzmann transport equation for SPhPs and the Fourier’s heat diffusion equation for phonons. An explicit expression for the SPhP thermal conductance is derived and its predictions are found to be in excellent agreement with its numerical counterparts obtained for a SiN nanowire at different lengths and temperatures. It is shown that the SPhP heat transport is characterized by two fingerprints: (i) The characteristic quantum of SPhP thermal conductance independent of the material properties. This quantization appears in SiN nanowires shorter than 1 μ m supporting the ballistic propagation of SPhPs. (ii) The deviation of the temperature profile from its typical linear behavior predicted by the Fourier’s law in absence of heat sources. For a 150 μ m-long SiN nanowire maintaining a quasi-ballistic SPhP propagation, this deviation can be as large as 1 K, which is measurable by the current state-of-the-art infrared thermometers.

Keywords: surface phonon-polaritons; polar nanowire; thermal conductance; ballistic heat transport; quantum of thermal conductance (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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