Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes

J. Cuffe, E. Chávez, Andrey Shchepetov, P.-O. Chapuis, E.H. El Boudouti, F. Alzina, Y. Pennec, B. Djafari-Rouhani, Mika Prunnila, Jouni Ahopelto, C.M. Sotomayor Torres

    Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

    Abstract

    The effect of confinement on the acoustic phonon dispersion relation and heat capacity in free-standing silicon membranes is investigated, with thickness values down ~ 8 nm. The discrete phonon branches are observed by angle-resolved inelastic light scattering spectroscopy. The fundamental flexural mode was observed to have a scattering intensity nearly two orders of magnitude larger than the fundamental dilatational mode, which is ascribed to its large out-of-plane density of states and quadratic dispersion. The quadratic dispersion also results in a reduction of the phase and group velocities of the fundamental flexural mode by more than one order of magnitude compared to bulk values. To investigate the effect of this behavior on the thermal conductivity, we perform calculations based on continuum elasticity theory to estimate corresponding changes in the heat capacity. This work provides a basis to investigate the effects of the frequency and dimension dependence of other phonon properties, in particular in the sub-20 nm regime, where phonon-phonon relaxation times, density of states and thermal conductivity are expected to possess different spectral dependencies than for bulk materials.
    Original languageEnglish
    Title of host publicationASME 2012 International Mechanical Engineering Congress and Exposition
    Subtitle of host publicationVolume 9: Micro- and Nano-Systems Engineering and Packaging, Parts A and B
    PublisherAmerican Society of Mechanical Engineers ASME
    Pages1081-1088
    Volume9
    ISBN (Print)978-0-7918-4525-7
    DOIs
    Publication statusPublished - 2012
    MoE publication typeA4 Article in a conference publication
    EventASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012 - Houston, TX, United States
    Duration: 9 Nov 201215 Nov 2012

    Conference

    ConferenceASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012
    Abbreviated titleIMECE 2012
    CountryUnited States
    CityHouston, TX
    Period9/11/1215/11/12

    Fingerprint

    specific heat
    membranes
    thermal conductivity
    phase velocity
    group velocity
    inelastic scattering
    light scattering
    elastic properties
    relaxation time
    continuums
    conductivity
    acoustics
    silicon
    estimates
    scattering
    spectroscopy

    Cite this

    Cuffe, J., Chávez, E., Shchepetov, A., Chapuis, P-O., El Boudouti, E. H., Alzina, F., ... Sotomayor Torres, C. M. (2012). Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes. In ASME 2012 International Mechanical Engineering Congress and Exposition: Volume 9: Micro- and Nano-Systems Engineering and Packaging, Parts A and B (Vol. 9, pp. 1081-1088). American Society of Mechanical Engineers ASME. https://doi.org/10.1115/IMECE2012-87635
    Cuffe, J. ; Chávez, E. ; Shchepetov, Andrey ; Chapuis, P.-O. ; El Boudouti, E.H. ; Alzina, F. ; Pennec, Y. ; Djafari-Rouhani, B. ; Prunnila, Mika ; Ahopelto, Jouni ; Sotomayor Torres, C.M. / Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes. ASME 2012 International Mechanical Engineering Congress and Exposition: Volume 9: Micro- and Nano-Systems Engineering and Packaging, Parts A and B. Vol. 9 American Society of Mechanical Engineers ASME, 2012. pp. 1081-1088
    @inproceedings{d2ab49e783474844a6f0ef01188d576a,
    title = "Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes",
    abstract = "The effect of confinement on the acoustic phonon dispersion relation and heat capacity in free-standing silicon membranes is investigated, with thickness values down ~ 8 nm. The discrete phonon branches are observed by angle-resolved inelastic light scattering spectroscopy. The fundamental flexural mode was observed to have a scattering intensity nearly two orders of magnitude larger than the fundamental dilatational mode, which is ascribed to its large out-of-plane density of states and quadratic dispersion. The quadratic dispersion also results in a reduction of the phase and group velocities of the fundamental flexural mode by more than one order of magnitude compared to bulk values. To investigate the effect of this behavior on the thermal conductivity, we perform calculations based on continuum elasticity theory to estimate corresponding changes in the heat capacity. This work provides a basis to investigate the effects of the frequency and dimension dependence of other phonon properties, in particular in the sub-20 nm regime, where phonon-phonon relaxation times, density of states and thermal conductivity are expected to possess different spectral dependencies than for bulk materials.",
    author = "J. Cuffe and E. Ch{\'a}vez and Andrey Shchepetov and P.-O. Chapuis and {El Boudouti}, E.H. and F. Alzina and Y. Pennec and B. Djafari-Rouhani and Mika Prunnila and Jouni Ahopelto and {Sotomayor Torres}, C.M.",
    year = "2012",
    doi = "10.1115/IMECE2012-87635",
    language = "English",
    isbn = "978-0-7918-4525-7",
    volume = "9",
    pages = "1081--1088",
    booktitle = "ASME 2012 International Mechanical Engineering Congress and Exposition",
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    Cuffe, J, Chávez, E, Shchepetov, A, Chapuis, P-O, El Boudouti, EH, Alzina, F, Pennec, Y, Djafari-Rouhani, B, Prunnila, M, Ahopelto, J & Sotomayor Torres, CM 2012, Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes. in ASME 2012 International Mechanical Engineering Congress and Exposition: Volume 9: Micro- and Nano-Systems Engineering and Packaging, Parts A and B. vol. 9, American Society of Mechanical Engineers ASME, pp. 1081-1088, ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012, Houston, TX, United States, 9/11/12. https://doi.org/10.1115/IMECE2012-87635

    Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes. / Cuffe, J.; Chávez, E.; Shchepetov, Andrey; Chapuis, P.-O.; El Boudouti, E.H.; Alzina, F.; Pennec, Y.; Djafari-Rouhani, B.; Prunnila, Mika; Ahopelto, Jouni; Sotomayor Torres, C.M.

    ASME 2012 International Mechanical Engineering Congress and Exposition: Volume 9: Micro- and Nano-Systems Engineering and Packaging, Parts A and B. Vol. 9 American Society of Mechanical Engineers ASME, 2012. p. 1081-1088.

    Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

    TY - GEN

    T1 - Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes

    AU - Cuffe, J.

    AU - Chávez, E.

    AU - Shchepetov, Andrey

    AU - Chapuis, P.-O.

    AU - El Boudouti, E.H.

    AU - Alzina, F.

    AU - Pennec, Y.

    AU - Djafari-Rouhani, B.

    AU - Prunnila, Mika

    AU - Ahopelto, Jouni

    AU - Sotomayor Torres, C.M.

    PY - 2012

    Y1 - 2012

    N2 - The effect of confinement on the acoustic phonon dispersion relation and heat capacity in free-standing silicon membranes is investigated, with thickness values down ~ 8 nm. The discrete phonon branches are observed by angle-resolved inelastic light scattering spectroscopy. The fundamental flexural mode was observed to have a scattering intensity nearly two orders of magnitude larger than the fundamental dilatational mode, which is ascribed to its large out-of-plane density of states and quadratic dispersion. The quadratic dispersion also results in a reduction of the phase and group velocities of the fundamental flexural mode by more than one order of magnitude compared to bulk values. To investigate the effect of this behavior on the thermal conductivity, we perform calculations based on continuum elasticity theory to estimate corresponding changes in the heat capacity. This work provides a basis to investigate the effects of the frequency and dimension dependence of other phonon properties, in particular in the sub-20 nm regime, where phonon-phonon relaxation times, density of states and thermal conductivity are expected to possess different spectral dependencies than for bulk materials.

    AB - The effect of confinement on the acoustic phonon dispersion relation and heat capacity in free-standing silicon membranes is investigated, with thickness values down ~ 8 nm. The discrete phonon branches are observed by angle-resolved inelastic light scattering spectroscopy. The fundamental flexural mode was observed to have a scattering intensity nearly two orders of magnitude larger than the fundamental dilatational mode, which is ascribed to its large out-of-plane density of states and quadratic dispersion. The quadratic dispersion also results in a reduction of the phase and group velocities of the fundamental flexural mode by more than one order of magnitude compared to bulk values. To investigate the effect of this behavior on the thermal conductivity, we perform calculations based on continuum elasticity theory to estimate corresponding changes in the heat capacity. This work provides a basis to investigate the effects of the frequency and dimension dependence of other phonon properties, in particular in the sub-20 nm regime, where phonon-phonon relaxation times, density of states and thermal conductivity are expected to possess different spectral dependencies than for bulk materials.

    U2 - 10.1115/IMECE2012-87635

    DO - 10.1115/IMECE2012-87635

    M3 - Conference article in proceedings

    SN - 978-0-7918-4525-7

    VL - 9

    SP - 1081

    EP - 1088

    BT - ASME 2012 International Mechanical Engineering Congress and Exposition

    PB - American Society of Mechanical Engineers ASME

    ER -

    Cuffe J, Chávez E, Shchepetov A, Chapuis P-O, El Boudouti EH, Alzina F et al. Effect of phonon confinement on the dispersion relation and heat capacity in nanoscale Si membranes. In ASME 2012 International Mechanical Engineering Congress and Exposition: Volume 9: Micro- and Nano-Systems Engineering and Packaging, Parts A and B. Vol. 9. American Society of Mechanical Engineers ASME. 2012. p. 1081-1088 https://doi.org/10.1115/IMECE2012-87635