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

doi:10.1115/IMECE2012-87635

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 proceeding › Conference article in proceedings › Scientific › peer-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 language	English
Title of host publication	ASME 2012 International Mechanical Engineering Congress and Exposition
Subtitle of host publication	Volume 9: Micro- and Nano-Systems Engineering and Packaging, Parts A and B
Publisher	American Society of Mechanical Engineers (ASME)
Pages	1081-1088
Volume	9
ISBN (Print)	978-0-7918-4525-7
DOIs	https://doi.org/10.1115/IMECE2012-87635
Publication status	Published - 2012
MoE publication type	A4 Article in a conference publication
Event	ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012 - Houston, TX, United States Duration: 9 Nov 2012 → 15 Nov 2012

Conference

Conference	ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012
Abbreviated title	IMECE 2012
Country/Territory	United States
City	Houston, TX
Period	9/11/12 → 15/11/12

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10.1115/IMECE2012-87635

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Cuffe, J., Chávez, E., Shchepetov, A., Chapuis, P.-O., El Boudouti, E. H., Alzina, F., Pennec, Y., Djafari-Rouhani, B., Prunnila, M., Ahopelto, J., & 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 et al. / 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",

publisher = "American Society of Mechanical Engineers (ASME)",

address = "United States",

note = "ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012, IMECE 2012 ; Conference date: 09-11-2012 Through 15-11-2012",

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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 et al.
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 proceeding › Conference article in proceedings › Scientific › peer-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)

T2 - ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012

Y2 - 9 November 2012 through 15 November 2012

ER -

Cuffe J, Chávez E, Shchepetov A, Chapuis PO, 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 doi: 10.1115/IMECE2012-87635

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

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