Thermal transport of flexural phonons in a rectangular plate

The quantum thermal transport of elastic excitations through a two-dimensional elastic waveguide between two thermal reservoirs is studied. We solve the classical Kirchhoff–Love equation for rectangular plates and explore the dispersion relation for both the symmetric and antisymmetric solutions. Th...

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Published inJournal of applied physics Vol. 136; no. 13
Main Authors Rivas Álvarez, G., Benítez Rodríguez, E., Bastarrachea-Magnani, M. A., Martínez-Mares, M., Méndez-Sánchez, R. A.
Format Journal Article
LanguageEnglish
Published 07.10.2024
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Summary:The quantum thermal transport of elastic excitations through a two-dimensional elastic waveguide between two thermal reservoirs is studied. We solve the classical Kirchhoff–Love equation for rectangular plates and explore the dispersion relation for both the symmetric and antisymmetric solutions. Then, we study the phonon transport of these modes within the second quantization framework by analyzing the mean quadratic displacement, from which the energy density current, the temperature field, and conductance are determined. We identify the relevant modes contributing to thermal transport and explore the average temperature difference to reach the high-temperature limit. We expect our results to pave the way for understanding phonon-mediated thermal transport in two-dimensional mesoscopic quantum devices.
ISSN:0021-8979
1089-7550
DOI:10.1063/5.0225916