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
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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.",
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doi = "10.1115/IMECE2012-87635",
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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