skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Unifying first-principles theoretical predictions and experimental measurements of size effects in thermal transport in SiGe alloys

Journal Article · · Physical Review Materials
 [1];  [1];  [2];  [1];  [3];  [2];  [3];  [2];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Mechanical Engineering
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Chemistry
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Materials Science and Engineering

We demonstrate the agreement between first-principles calculations and experimental measurements of size effects in thermal transport in SiGe alloys without fitting parameters. Transient thermal grating (TTG) is used to measure the effect of the grating period on the temperature decay. The virtual crystal approximation under the density-functional-theory framework combined with impurity scattering is used to determine the phonon properties for the exact alloy composition of the measured samples. With these properties, classical size effects are calculated for the experimental geometry of reflection mode TTG using the recently developed variational solution to the phonon Boltzmann transport equation, which is verified against established Monte Carlo simulations. Here, we find agreement between theoretical predictions and experimental measurements in the reduction of thermal conductivity (as much as fourfold of the bulk value) across grating periods spanning one order of magnitude. This paper provides a framework for the study of size effects in thermal transport in opaque materials.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0001299; FG02-09ER46577
OSTI ID:
1470057
Alternate ID(s):
OSTI ID: 1398153
Journal Information:
Physical Review Materials, Vol. 1, Issue 5; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; ISSN 2475-9953
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (53)

Determining Phonon Mean Free Paths from Observations of Quasiballistic Thermal Transport journal November 2012
Experimental metrology to obtain thermal phonon transmission coefficients at solid interfaces journal May 2017
Measuring Phonon Mean Free Path Distributions by Probing Quasiballistic Phonon Transport in Grating Nanostructures journal November 2015
Role of Disorder and Anharmonicity in the Thermal Conductivity of Silicon-Germanium Alloys: A First-Principles Study journal January 2011
Intrinsic lattice thermal conductivity of semiconductors from first principles journal December 2007
ShengBTE: A solver of the Boltzmann transport equation for phonons journal June 2014
Phase-controlled, heterodyne laser-induced transient grating measurements of thermal transport properties in opaque material journal January 2012
Optical heterodyne detection of laser-induced gratings journal January 1998
Isotope scattering of dispersive phonons in Ge journal January 1983
Intrinsic Optical Absorption in Germanium-Silicon Alloys journal February 1958
Heat transport in silicon from first-principles calculations journal August 2011
Non-diffusive relaxation of a transient thermal grating analyzed with the Boltzmann transport equation journal September 2013
Lattice Thermal Conductivity of Disordered Semiconductor Alloys at High Temperatures journal September 1963
Laser-induced transient grating setup with continuously tunable period journal December 2015
Non-diffusive thermal transport in GaAs at micron length scales journal October 2015
Über Zweistoffsysteme mit Germanium. I. Germanium/Aluminium, Germanium/Zinn und Germanium/Silicium journal June 1939
Superdiffusive heat conduction in semiconductor alloys. II. Truncated Lévy formalism for experimental analysis journal February 2015
Superdiffusive heat conduction in semiconductor alloys. I. Theoretical foundations journal February 2015
Analytical interpretation of nondiffusive phonon transport in thermoreflectance thermal conductivity measurements journal August 2014
Raman Scattering by Local Modes in Germanium-Rich Silicon-Germanium Alloys journal December 1966
Raman scattering in germanium-silicon alloys under hydrostatic pressure journal July 1993
Lattice Thermal Conductivity of Germanium-Silicon Alloy Single Crystals at Low Temperatures journal April 1961
Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations journal April 2014
Efficient simulation of multidimensional phonon transport using energy-based variance-reduced Monte Carlo formulations journal November 2011
Analytical Green's function of the multidimensional frequency-dependent phonon Boltzmann equation journal December 2014
Coupling between phonon-phonon and phonon-impurity scattering: A critical revisit of the spectral Matthiessen's rule journal December 2015
Upper limit to the thermal penetration depth during modulated heating of multilayer thin films with pulsed and continuous wave lasers: A numerical study journal May 2017
Spectral mapping of thermal conductivity through nanoscale ballistic transport journal June 2015
Role of phonon anharmonicity in time-domain thermoreflectance measurements journal August 2012
An alternative approach to efficient simulation of micro/nanoscale phonon transport journal October 2012
Mean free path spectra as a tool to understand thermal conductivity in bulk and nanostructures journal January 2013
Temperature-Induced Topological Phase Transitions: Promoted versus Suppressed Nontrivial Topology journal December 2016
Anharmonic properties from a generalized third-order ab initio approach: Theory and applications to graphite and graphene journal June 2013
Variational approach to solving the spectral Boltzmann transport equation in transient thermal grating for thin films journal July 2016
Thermal Conductivity of Ge-Si Alloys at High Temperatures journal January 1962
Photographic surveying of minority carrier diffusion length in polycrystalline silicon solar cells by electroluminescence journal June 2005
Limits to Fourier theory in high thermal conductivity single crystals journal November 2015
Lattice thermal conductivity of silicon from empirical interatomic potentials journal July 2005
Controlling threading dislocation densities in Ge on Si using graded SiGe layers and chemical-mechanical polishing journal April 1998
Frequency dependence of the thermal conductivity of semiconductor alloys journal August 2007
Variational approach to extracting the phonon mean free path distribution from the spectral Boltzmann transport equation journal April 2016
Reconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes journal June 2015
Anisotropic failure of Fourier theory in time-domain thermoreflectance experiments journal October 2014
Microscale Heat Conduction in Dielectric Thin Films journal February 1993
Analytical interpretation of nondiffusive phonon transport in thermoreflectance thermal conductivity measurements text January 2014
Analytical interpretation of nondiffusive phonon transport in thermoreflectance thermal conductivity measurements text January 2014
Heat transport in silicon from first principles calculations text January 2011
Phase-controlled, heterodyne laser-induced transient grating measurements of thermal transport properties in opaque material text January 2011
Anharmonic properties from a generalized third order ab~initio approach: theory and applications to graphite and graphene text January 2013
Coupling between Phonon-Phonon and Phonon-Impurity Scattering: A Critical Revisit of the Spectral Matthiessen's Rule text January 2015
Temperature-induced topological phase transitions: promoted vs. suppressed non-trivial topology text January 2016
Role of thermalizing and nonthermalizing walls in phonon heat conduction along thin films journal January 2016
Nanostructured thermoelectric energy conversion and refrigeration devices conference June 2012

Cited By (1)

Thermal diffusivity determination using heterodyne phase insensitive transient grating spectroscopy journal June 2018