Direct Measurement of Room-Temperature Nondiffusive Thermal Transport Over Micron Distances in a Silicon Membrane

Johnson, Jeremy A.; Maznev, A. A.; Cuffe, John; Eliason, Jeffrey K.; Minnich, Austin J.; Kehoe, Timothy; Torres, Clivia M.  Sotomayor; Chen, Gang; Nelson, Keith A.

doi:10.1103/PhysRevLett.110.025901

Direct Measurement of Room-Temperature Nondiffusive Thermal Transport Over Micron Distances in a Silicon Membrane

Journal Article · Tue Jan 08 00:00:00 EST 2013 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.110.025901· OSTI ID:1081191

Johnson, Jeremy A. ^[1]; Maznev, A. A. ^[1]; Cuffe, John ^[2]; Eliason, Jeffrey K. ^[1]; Minnich, Austin J. ^[3]; Kehoe, Timothy ^[4]; Torres, Clivia M. Sotomayor ^[5]; Chen, Gang ^[3]; Nelson, Keith A. ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Chemistry
Catalan Inst. of Nanotechnology, Barcelona (Spain); Univ. College Cork (Ireland). Dept. of Physics. Tyndall National Inst.
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Mechanical Engineering
Catalan Inst. of Nanotechnology, Barcelona (Spain)
Catalan Inst. of Nanotechnology, Barcelona (Spain); Catalan Inst. for Research and Advanced Studies (ICREA), Barcelona (Spain); Autonomous Univ. of Barcelona (Spain). Dept. of Physics

The “textbook” phonon mean free path of heat carrying phonons in silicon at room temperature is $${\sim}40\text{ }\text{ }\mathrm{nm}$$. However, a large contribution to the thermal conductivity comes from low-frequency phonons with much longer mean free paths. We present here a simple experiment demonstrating that room-temperature thermal transport in Si significantly deviates from the diffusion model already at micron distances. Absorption of crossed laser pulses in a freestanding silicon membrane sets up a sinusoidal temperature profile that is monitored via diffraction of a probe laser beam. By changing the period of the thermal grating we vary the heat transport distance within the range $${\sim}1-10\text{ }\text{ }{\mu}\mathrm{m}$$. At small distances, we observe a reduction in the effective thermal conductivity indicating a transition from the diffusive to the ballistic transport regime for the low-frequency part of the phonon spectrum.

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0001299

OSTI ID:: 1081191

Alternate ID(s):: OSTI ID: 1101856

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 2 Vol. 110; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond Sanchez-Martinez, Miguel-Ángel; Alzina, Francesc; Oyarzo, Juan Nanomaterials, Vol. 9, Issue 3 https://doi.org/10.3390/nano9030414	journal	March 2019
Direct measurement of coherent subterahertz acoustic phonons mean free path in GaAs Legrand, Romain; Huynh, Agnès; Jusserand, Bernard arXiv https://doi.org/10.48550/arxiv.1509.07745	text	January 2015
Monte Carlo Study of Non-diffusive Relaxation of A Transient Thermal Grating in Thin Membranes Zeng, Lingping; Chiloyan, Vazrik; Huberman, Samuel arXiv https://doi.org/10.48550/arxiv.1512.03986	text	January 2015
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Minimizing coherent thermal conductance by controlling the periodicity of two-dimensional phononic crystals Tian, Yaolan; Puurtinen, Tuomas A.; Geng, Zhuoran arXiv https://doi.org/10.48550/arxiv.1904.09102	text	January 2019
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In-plane Thermal Conductivity Measurement with Nanosecond Grating Imaging Technique Jeong, Jihoon; Chen, Ke; Walker, Emily S. Taylor & Francis https://doi.org/10.6084/m9.figshare.5886838.v1	text	January 2018
Generation of coherent phonons by coherent extreme ultraviolet radiation in a transient grating experiment Maznev, A. A.; Bencivenga, F.; Cannizzo, Andrea American Institute of Physics https://doi.org/10.7892/boris.133468	text	January 2018

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