Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes

John Cuffe, Jeffrey K. Eliason, A.A. Maznev, Kimberlee C. Collins, Jeremy A. Johnson, Andrey Shchepetov, Mika Prunnila, Jouni Ahopelto, Clivia M. Sotomayor Torres, Gang Chen (Corresponding Author), Keith A. Nelson

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    Abstract

    Knowledge of the mean-free-path distribution of heat-carrying phonons is key to understanding phonon-mediated thermal transport. We demonstrate that thermal conductivity measurements of thin membranes spanning a wide thickness range can be used to characterize how bulk thermal conductivity is distributed over phonon mean free paths. A noncontact transient thermal grating technique was used to measure the thermal conductivity of suspended Si membranes ranging from 15-1500 nm in thickness. A decrease in the thermal conductivity from 74-13% of the bulk value is observed over this thickness range, which is attributed to diffuse phonon boundary scattering. Due to the well-defined relation between the membrane thickness and phonon mean-free-path suppression, combined with the range and accuracy of the measurements, we can reconstruct the bulk thermal conductivity accumulation vs. phonon mean free path, and compare with theoretical models.
    Original languageEnglish
    Article number245423
    JournalPhysical Review B: Condensed Matter and Materials Physics
    Volume91
    Issue number24
    DOIs
    Publication statusPublished - 2015
    MoE publication typeA1 Journal article-refereed

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    Cuffe, J., Eliason, J. K., Maznev, A. A., Collins, K. C., Johnson, J. A., Shchepetov, A., Prunnila, M., Ahopelto, J., Sotomayor Torres, C. M., Chen, G., & Nelson, K. A. (2015). Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes. Physical Review B: Condensed Matter and Materials Physics, 91(24), [245423]. https://doi.org/10.1103/PhysRevB.91.245423