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

    Research output: Contribution to journalArticleScientificpeer-review

    69 Citations (Scopus)

    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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    mean free path
    Thermal conductivity
    thermal conductivity
    membranes
    Membranes
    Phonons
    phonons
    retarding
    gratings
    Scattering
    heat
    scattering
    Hot Temperature

    Cite this

    Cuffe, J., Eliason, J. K., Maznev, A. A., Collins, K. C., Johnson, J. A., Shchepetov, A., ... 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
    Cuffe, John ; Eliason, Jeffrey K. ; Maznev, A.A. ; Collins, Kimberlee C. ; Johnson, Jeremy A. ; Shchepetov, Andrey ; Prunnila, Mika ; Ahopelto, Jouni ; Sotomayor Torres, Clivia M. ; Chen, Gang ; Nelson, Keith A. / Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes. In: Physical Review B: Condensed Matter and Materials Physics. 2015 ; Vol. 91, No. 24.
    @article{5a331ab65b934d7685d95a108e4227d8,
    title = "Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes",
    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.",
    author = "John Cuffe and Eliason, {Jeffrey K.} and A.A. Maznev and Collins, {Kimberlee C.} and Johnson, {Jeremy A.} and Andrey Shchepetov and Mika Prunnila and Jouni Ahopelto and {Sotomayor Torres}, {Clivia M.} and Gang Chen and Nelson, {Keith A.}",
    year = "2015",
    doi = "10.1103/PhysRevB.91.245423",
    language = "English",
    volume = "91",
    journal = "Physical Review B",
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    Cuffe, J, Eliason, JK, Maznev, AA, Collins, KC, Johnson, JA, Shchepetov, A, Prunnila, M, Ahopelto, J, Sotomayor Torres, CM, Chen, G & Nelson, KA 2015, 'Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes', Physical Review B: Condensed Matter and Materials Physics, vol. 91, no. 24, 245423. https://doi.org/10.1103/PhysRevB.91.245423

    Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes. / Cuffe, John; Eliason, Jeffrey K.; Maznev, A.A.; Collins, Kimberlee C.; Johnson, Jeremy A.; Shchepetov, Andrey; Prunnila, Mika; Ahopelto, Jouni; Sotomayor Torres, Clivia M.; Chen, Gang (Corresponding Author); Nelson, Keith A.

    In: Physical Review B: Condensed Matter and Materials Physics, Vol. 91, No. 24, 245423, 2015.

    Research output: Contribution to journalArticleScientificpeer-review

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    AU - Cuffe, John

    AU - Eliason, Jeffrey K.

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    AU - Collins, Kimberlee C.

    AU - Johnson, Jeremy A.

    AU - Shchepetov, Andrey

    AU - Prunnila, Mika

    AU - Ahopelto, Jouni

    AU - Sotomayor Torres, Clivia M.

    AU - Chen, Gang

    AU - Nelson, Keith A.

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    AB - 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.

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