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Thermal conductivity of silicon bulk and nanowires: Effects of isotopic composition, phonon confinement, and surface roughness
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10.1063/1.3340973
/content/aip/journal/jap/107/8/10.1063/1.3340973
http://aip.metastore.ingenta.com/content/aip/journal/jap/107/8/10.1063/1.3340973

Figures

Image of FIG. 1.
FIG. 1.

Phonon dispersion curves for silicon calculated from the full Weber adiabatic bond charge model.

Image of FIG. 2.
FIG. 2.

Thermal conductivity of natural abundance and isotopically enriched silicon bulk samples. Symbols: experimental data. Dashed lines: theoretical results obtained from the conventional full Callaway model and single mode approximation. Solid lines: theoretical results obtained from the theoretical approach described in the present work which includes the contribution of the decay of the optical phonon into acoustic phonons to the lattice thermal conductivity.

Image of FIG. 3.
FIG. 3.

Contribution of and components to the overall lattice conductivity of natural bulk silicon. Dashed lines: when the optical phonon decay is not taken into account. Solid lines: when the optical phonon decay is taken into account.

Image of FIG. 4.
FIG. 4.

Calculated mean free paths for the optical, , and acoustic, , phonons as a function of temperature.

Image of FIG. 5.
FIG. 5.

Elastic continuum approximation prediction of the dispersion relations for longitudinal (solid lines) and transversal (dashed lines) modes in silicon NWs of cross sections 115, 56, 37, and 22 nm.

Image of FIG. 6.
FIG. 6.

Thermal conductivity of individual silicon NWs. Symbols: experimental data. Solid lines: theoretical results obtained from the theoretical approach described in the present work which considers the optical phonons decay into acoustic phonons as acoustic phonon generation rate. Dashed lines: theoretical results obtained from the theoretical approach described in the present work without accounting for the optical phonon decay.

Image of FIG. 7.
FIG. 7.

Thermal conductivity of rough silicon NWs. Symbols: experimental results. Solid lines: theoretical results obtained from the theoretical approach described in the present work.

Image of FIG. 8.
FIG. 8.

Contribution of and components to the overall lattice thermal conductivity of . Symbols: experimental data on rough silicon nanowire with diameter of 115 nm. Dashed lines: contribution of and . Solid line: the total thermal conductivity , i.e., .

Tables

Generic image for table
Table I.

Parameters obtained from the least-squares best fit to the experimental data on the lattice thermal conductivity of Si bulk samples differing in their isotope composition and NWs differing in their cross section and surface roughness.

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/content/aip/journal/jap/107/8/10.1063/1.3340973
2010-04-21
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Thermal conductivity of silicon bulk and nanowires: Effects of isotopic composition, phonon confinement, and surface roughness
http://aip.metastore.ingenta.com/content/aip/journal/jap/107/8/10.1063/1.3340973
10.1063/1.3340973
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