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Title: Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [1];  [1];  [1];  [2];  [3];  [3];  [3];  [4];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Brigham Young Univ., Provo, UT (United States)
  3. VTT Technical Research Centre of Finland Ltd., Espoo (Finland)
  4. ICN2-Catalan Inst. of Nanoscience and Nanotechnology, Bellaterra (Spain); Catalan Inst. for Research and Advanced Studies ICREA, Barcelona (Spain)

Knowledge of the mean-free-path distribution of heat-carrying phonons is key to understanding phonon-mediated thermal transport. We show that thermal conductivity measurements of thin membranes spanning a wide thickness range can be used to characterize how bulk thermal conductivity is distributed over phonon mean free paths. A noncontact transient thermal grating technique was used to measure the thermal conductivity of suspended Si membranes ranging from 15–1500 nm in thickness. A decrease in the thermal conductivity from 74–13% of the bulk value is observed over this thickness range, which is attributed to diffuse phonon boundary scattering. Because of the well-defined relation between the membrane thickness and phonon mean-free-path suppression, combined with the range and accuracy of the measurements, we can reconstruct the bulk thermal conductivity accumulation vs. phonon mean free path, and compare with theoretical models.

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 Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0001299; FG02-09ER46577
OSTI ID:
1370995
Alternate ID(s):
OSTI ID: 1185130
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 91, Issue 24; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 102 works
Citation information provided by
Web of Science

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Cited By (30)

2D Phononic Crystals: Progress and Prospects in Hypersound and Thermal Transport Engineering journal August 2019
A review of computational phononics: the bulk, interfaces, and surfaces journal October 2017
Thermal conductivity and air-mediated losses in periodic porous silicon membranes at high temperatures journal September 2017
Measuring Phonon Mean Free Path Distributions by Probing Quasiballistic Phonon Transport in Grating Nanostructures journal November 2015
Monte Carlo study of non-diffusive relaxation of a transient thermal grating in thin membranes journal February 2016
Role of low-energy phonons with mean-free-paths >0.8 μm in heat conduction in silicon journal June 2016
Thermal transport size effects in silicon membranes featuring nanopillars as local resonators journal June 2016
Surface scattering controlled heat conduction in semiconductor thin films journal November 2016
Thermal transport in suspended silicon membranes measured by laser-induced transient gratings journal December 2016
Phonon conduction in GaN-diamond composite substrates journal February 2017
Thermal conductivity reduction in highly doped mesoporous silicon: The effect of nano-crystal formation journal August 2018
Reevaluating the suppression function for phonon transport in nanostructures by Monte Carlo techniques journal January 2019
Specular reflection leads to maximum reduction in cross-plane thermal conductivity journal June 2019
Modeling ballistic phonon transport from a cylindrical electron beam heat source journal September 2019
Mapping phonon modes from reduced-dimensional to bulk systems journal October 2019
First-principles calculations of thermal, electrical, and thermoelectric transport properties of semiconductors journal March 2016
Reconstruction of an effective magnon mean free path distribution from spin Seebeck measurements in thin films journal January 2017
Finite-size effect of the thermal conductivity in one dimensional chain journal December 2019
Long mean free paths of room-temperature THz acoustic phonons in a high thermal conductivity material journal September 2019
Direct simulation of second sound in graphene by solving the phonon Boltzmann equation via a multiscale scheme journal October 2019
Phonon confinement and transport in ultrathin films journal January 2020
Direct measurement of coherent subterahertz acoustic phonons mean free path in GaAs journal May 2016
Dynamical thermal conductivity of suspended graphene ribbons in the hydrodynamic regime journal July 2018
Unifying first-principles theoretical predictions and experimental measurements of size effects in thermal transport in SiGe alloys journal October 2017
Spectrally Resolved Specular Reflections of Thermal Phonons from Atomically Rough Surfaces journal October 2018
Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond journal March 2019
Direct measurement of coherent subterahertz acoustic phonons mean free path in GaAs text January 2015
Monte Carlo Study of Non-diffusive Relaxation of A Transient Thermal Grating in Thin Membranes text January 2015
Two orders of magnitude reduction in silicon membrane thermal conductivity by resonance hybridizations text January 2016
Mapping Phonon Modes from Reduced-Dimensional to Bulk Systems text January 2019

Figures / Tables (3)