Thermal interface conductance in Si/Ge superlattices by equilibrium molecular dynamics
Abstract
We provide here a derivation allowing the calculation of thermal conductance at interfaces by equilibrium molecular dynamics simulations and illustrate our approach by studying thermal conduction mechanisms in Si/Ge superlattices. Thermal conductance calculations of superlattices with period thicknesses ranging from 0.5 to 60 nm are presented as well as the temperature dependence. Results have been compared to complementary Green-Kubo thermal conductivity calculations demonstrating that thermal conductivity of perfect superlattices can be directly deduced from interfacial conductance in the investigated period range. This confirms the predominant role of interfaces in materials with large phonon mean free paths.
- Authors:
-
- Ecole Centrale Paris (France). Macroscopic and Molecular Energy Lab.; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Mechanical Engineering Dept.
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Mechanical Engineering Dept.
- Georgia Inst. of Technology, Atlanta, GA (United States). George W. Woodruff School of Mechanical Engineering
- Ecole Centrale Paris (France). Macroscopic and Molecular Energy Lab.
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1067085
- Grant/Contract Number:
- SC0001299; FG02-09ER46577
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 85; Journal Issue: 19; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Chalopin, Y., Esfarjani, K., Henry, A., Volz, S., and Chen, G.. Thermal interface conductance in Si/Ge superlattices by equilibrium molecular dynamics. United States: N. p., 2012.
Web. doi:10.1103/PhysRevB.85.195302.
Chalopin, Y., Esfarjani, K., Henry, A., Volz, S., & Chen, G.. Thermal interface conductance in Si/Ge superlattices by equilibrium molecular dynamics. United States. https://doi.org/10.1103/PhysRevB.85.195302
Chalopin, Y., Esfarjani, K., Henry, A., Volz, S., and Chen, G.. Tue .
"Thermal interface conductance in Si/Ge superlattices by equilibrium molecular dynamics". United States. https://doi.org/10.1103/PhysRevB.85.195302. https://www.osti.gov/servlets/purl/1067085.
@article{osti_1067085,
title = {Thermal interface conductance in Si/Ge superlattices by equilibrium molecular dynamics},
author = {Chalopin, Y. and Esfarjani, K. and Henry, A. and Volz, S. and Chen, G.},
abstractNote = {We provide here a derivation allowing the calculation of thermal conductance at interfaces by equilibrium molecular dynamics simulations and illustrate our approach by studying thermal conduction mechanisms in Si/Ge superlattices. Thermal conductance calculations of superlattices with period thicknesses ranging from 0.5 to 60 nm are presented as well as the temperature dependence. Results have been compared to complementary Green-Kubo thermal conductivity calculations demonstrating that thermal conductivity of perfect superlattices can be directly deduced from interfacial conductance in the investigated period range. This confirms the predominant role of interfaces in materials with large phonon mean free paths.},
doi = {10.1103/PhysRevB.85.195302},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 19,
volume = 85,
place = {United States},
year = {2012},
month = {5}
}
Web of Science
Figures / Tables:

Works referenced in this record:
Computation of thermal conductivity of Si/Ge superlattices by molecular dynamics techniques
journal, October 2000
- Volz, S.; Saulnier, J. B.; Chen, G.
- Microelectronics Journal, Vol. 31, Issue 9-10
Modification of Stillinger-Weber potentials for Si and Ge
journal, June 1990
- Zi Jian,
- Physical Review B, Vol. 41, Issue 18
Phonon superlattice transport
journal, November 1997
- Hyldgaard, Per; Mahan, G. D.
- Physical Review B, Vol. 56, Issue 17
Epitaxial growth of Si 1− x Ge x on Si(100)2 × 1: A molecular-dynamics study
journal, October 1992
- Ethier, Stéphane; Lewis, Laurent J.
- Journal of Materials Research, Vol. 7, Issue 10
Nanostructured Interfaces for Thermoelectrics
journal, June 2010
- Gao, Y.; Marconnet, A. M.; Panzer, M. A.
- Journal of Electronic Materials, Vol. 39, Issue 9
Interfacial thermal transport in atomic junctions
journal, February 2011
- Zhang, Lifa; Keblinski, Pawel; Wang, Jian-Sheng
- Physical Review B, Vol. 83, Issue 6
Molecular dynamics calculation of the thermal conductivity of superlattices
journal, June 2002
- Daly, Brian C.; Maris, Humphrey J.; Imamura, K.
- Physical Review B, Vol. 66, Issue 2
A Review of Heat Transfer Physics
journal, January 2008
- Carey, V. P.; Chen, G.; Grigoropoulos, C.
- Nanoscale and Microscale Thermophysical Engineering, Vol. 12, Issue 1
Local Heating in Nanoscale Conductors
journal, December 2003
- Chen, Yu-Chang; Zwolak, Michael; Di Ventra, Massimiliano
- Nano Letters, Vol. 3, Issue 12, p. 1691-1694
Lattice-dynamical calculation of phonon scattering at ideal Si–Ge interfaces
journal, January 2005
- Zhao, H.; Freund, J. B.
- Journal of Applied Physics, Vol. 97, Issue 2
Numerical study of heat and mass transfer in an enthalpy exchanger with a hydrophobic-hydrophilic composite membrane core
journal, March 2007
- Zhang, Li-Zhi
- Numerical Heat Transfer, Part A: Applications, Vol. 51, Issue 7
Thermal resistance between low-dimensional nanostructures and semi-infinite media
journal, May 2008
- Panzer, Matthew A.; Goodson, Ken E.
- Journal of Applied Physics, Vol. 103, Issue 9
Effect of interfacial species mixing on phonon transport in semiconductor superlattices
journal, February 2009
- Landry, E. S.; McGaughey, A. J. H.
- Physical Review B, Vol. 79, Issue 7
Effect of film thickness on the thermal resistance of confined semiconductor thin films
journal, January 2010
- Landry, E. S.; McGaughey, A. J. H.
- Journal of Applied Physics, Vol. 107, Issue 1
Thermal conductivity and ballistic-phonon transport in the cross-plane direction of superlattices
journal, June 1998
- Chen, G.
- Physical Review B, Vol. 57, Issue 23, p. 14958-14973
Thermal boundary resistance
journal, July 1989
- Swartz, E. T.; Pohl, R. O.
- Reviews of Modern Physics, Vol. 61, Issue 3, p. 605-668
Upper bound to the thermal conductivity of carbon nanotube pellets
journal, April 2009
- Chalopin, Yann; Volz, Sebastian; Mingo, Natalio
- Journal of Applied Physics, Vol. 105, Issue 8
Thermal boundary resistance predictions from molecular dynamics simulations and theoretical calculations
journal, October 2009
- Landry, E. S.; McGaughey, A. J. H.
- Physical Review B, Vol. 80, Issue 16
Nonequilibrium molecular dynamics simulation of the in-plane thermal conductivity of superlattices with rough interfaces
journal, June 2009
- Termentzidis, Konstantinos; Chantrenne, Patrice; Keblinski, Pawel
- Physical Review B, Vol. 79, Issue 21
Interfacial phonon scattering in semiconductor nanowires by molecular-dynamics simulation
journal, June 2006
- Becker, Brian; Schelling, Patrick K.; Phillpot, Simon R.
- Journal of Applied Physics, Vol. 99, Issue 12
Predominance of thermal contact resistance in a silicon nanowire on a planar substrate
journal, June 2008
- Chalopin, Yann; Gillet, Jean-Numa; Volz, Sebastian
- Physical Review B, Vol. 77, Issue 23
Minimum superlattice thermal conductivity from molecular dynamics
journal, November 2005
- Chen, Yunfei; Li, Deyu; Lukes, Jennifer R.
- Physical Review B, Vol. 72, Issue 17
Computer simulation of local order in condensed phases of silicon
journal, April 1985
- Stillinger, Frank H.; Weber, Thomas A.
- Physical Review B, Vol. 31, Issue 8
Size and Interface Effects on Thermal Conductivity of Superlattices and Periodic Thin-Film Structures
journal, May 1997
- Chen, G.
- Journal of Heat Transfer, Vol. 119, Issue 2
Theory of interface scattering of phonons in superlattices
journal, October 2010
- Hepplestone, S. P.; Srivastava, G. P.
- Physical Review B, Vol. 82, Issue 14
Simulation of phonon transport across a non-polar nanowire junction using an atomistic Green’s function method
journal, November 2007
- Zhang, W.; Mingo, N.; Fisher, T. S.
- Physical Review B, Vol. 76, Issue 19
Phonon transport in nanowires coated with an amorphous material: An atomistic Green’s function approach
journal, December 2003
- Mingo, N.; Yang, Liu
- Physical Review B, Vol. 68, Issue 24
Phonon wave-packet dynamics at semiconductor interfaces by molecular-dynamics simulation
journal, April 2002
- Schelling, P. K.; Phillpot, S. R.; Keblinski, P.
- Applied Physics Letters, Vol. 80, Issue 14
Molecular dynamics simulation of thermal boundary conductance between carbon nanotubes and
journal, April 2010
- Ong, Zhun-Yong; Pop, Eric
- Physical Review B, Vol. 81, Issue 15
Modeling study of thermoelectric SiGe nanocomposites
journal, October 2009
- Minnich, A. J.; Lee, H.; Wang, X. W.
- Physical Review B, Vol. 80, Issue 15
A Quantum-statistical Theory of Transport Processes
journal, October 1956
- Mori, Hazime
- Journal of the Physical Society of Japan, Vol. 11, Issue 10
Nanoscale thermal transport
journal, January 2003
- Cahill, David G.; Ford, Wayne K.; Goodson, Kenneth E.
- Journal of Applied Physics, Vol. 93, Issue 2, p. 793-818
Lattice thermal conductivity of wires
journal, March 1999
- Walkauskas, S. G.; Broido, D. A.; Kempa, K.
- Journal of Applied Physics, Vol. 85, Issue 5
Local Heating in Nanoscale Conductors
journal, March 2005
- Chen, Yu-Chang; Zwolak, Michael; Di Ventra, Massimiliano
- Nano Letters, Vol. 5, Issue 4
Effect of film thickness on the thermal resistance of confined semiconductor thin films
text, January 2010
- Landry, Eric S.; McGaughey, Alan J. H.
- Carnegie Mellon University
Thermal Boundary Resistance.
journal, August 1971
- Budd, H.; Vannimenus, J.
- Physical Review Letters, Vol. 27, Issue 6
Thermal Boundary Resistance
journal, June 1971
- Budd, H.; Vannimenus, J.
- Physical Review Letters, Vol. 26, Issue 26
Works referencing / citing this record:
A Review of Experimental and Computational Advances in Thermal Boundary Conductance and Nanoscale Thermal Transport across Solid Interfaces
journal, August 2019
- Giri, Ashutosh; Hopkins, Patrick E.
- Advanced Functional Materials
Thermal conductivity of silicon nanowires: From fundamentals to phononic engineering: Thermal conductivity of silicon nanowires: From fundamentals to phononic engineering
journal, June 2013
- Zhang, Gang; Zhang, Yong-Wei
- physica status solidi (RRL) - Rapid Research Letters, Vol. 7, Issue 10
Phonon Transport at Crystalline Si/Ge Interfaces: The Role of Interfacial Modes of Vibration
journal, March 2016
- Gordiz, Kiarash; Henry, Asegun
- Scientific Reports, Vol. 6, Issue 1
Emerging interface materials for electronics thermal management: experiments, modeling, and new opportunities
journal, January 2020
- Cui, Ying; Li, Man; Hu, Yongjie
- Journal of Materials Chemistry C, Vol. 8, Issue 31
A microscopic formulation of the phonon transmission at the nanoscale
journal, July 2013
- Chalopin, Y.; Volz, S.
- Applied Physics Letters, Vol. 103, Issue 5
The importance of anharmonicity in thermal transport across solid-solid interfaces
journal, January 2014
- Wu, Xufei; Luo, Tengfei
- Journal of Applied Physics, Vol. 115, Issue 1
Ensemble averaging vs. time averaging in molecular dynamics simulations of thermal conductivity
journal, January 2015
- Gordiz, Kiarash; Singh, David J.; Henry, Asegun
- Journal of Applied Physics, Vol. 117, Issue 4
A detailed microscopic study of the heat transfer at a water gold interface coated with a polymer
journal, March 2015
- Soussi, J.; Volz, S.; Palpant, B.
- Applied Physics Letters, Vol. 106, Issue 9
Size- and structure-dependence of thermal and mechanical behaviors of single-crystalline and polytypic superlattice ZnS nanowires
journal, June 2015
- Moon, Junghwan; Cho, Maenghyo; Zhou, Min
- Journal of Applied Physics, Vol. 117, Issue 21
Kapitza resistance and the thermal conductivity of amorphous superlattices
journal, October 2015
- Giri, Ashutosh; Hopkins, Patrick E.; Wessel, James G.
- Journal of Applied Physics, Vol. 118, Issue 16
Phonon transport at interfaces: Determining the correct modes of vibration
journal, January 2016
- Gordiz, Kiarash; Henry, Asegun
- Journal of Applied Physics, Vol. 119, Issue 1
Phonon wave interference in graphene and boron nitride superlattice
journal, July 2016
- Chen, Xue-Kun; Xie, Zhong-Xiang; Zhou, Wu-Xing
- Applied Physics Letters, Vol. 109, Issue 2
Phonon transport at interfaces between different phases of silicon and germanium
journal, January 2017
- Gordiz, Kiarash; Henry, Asegun
- Journal of Applied Physics, Vol. 121, Issue 2
Phonon optimized interatomic potential for aluminum
journal, December 2017
- Muraleedharan, Murali Gopal; Rohskopf, Andrew; Yang, Vigor
- AIP Advances, Vol. 7, Issue 12
Flexural resonance mechanism of thermal transport across graphene-SiO 2 interfaces
journal, March 2018
- Ong, Zhun-Yong; Qiu, Bo; Xu, Shanglong
- Journal of Applied Physics, Vol. 123, Issue 11
Tutorial: Determination of thermal boundary resistance by molecular dynamics simulations
journal, May 2018
- Liang, Zhi; Hu, Ming
- Journal of Applied Physics, Vol. 123, Issue 19
Phonon transport across a Si–Ge interface: The role of inelastic bulk scattering
journal, January 2019
- Maassen, Jesse; Askarpour, Vahid
- APL Materials, Vol. 7, Issue 1
Cross-plane thermal conduction in superlattices: Impact of multiple length scales on phonon transport
journal, January 2019
- Malhotra, Abhinav; Kothari, Kartik; Maldovan, Martin
- Journal of Applied Physics, Vol. 125, Issue 4
Using Green-Kubo modal analysis (GKMA) and interface conductance modal analysis (ICMA) to study phonon transport with molecular dynamics
journal, February 2019
- Seyf, Hamid Reza; Gordiz, Kiarash; DeAngelis, Freddy
- Journal of Applied Physics, Vol. 125, Issue 8
Resonant phonon modes in fullerene functionalized graphene lead to large tunability of thermal conductivity without impacting the mechanical properties
journal, May 2019
- Giri, Ashutosh; Hopkins, Patrick E.
- Journal of Applied Physics, Vol. 125, Issue 20
Roughness and amorphization impact on thermal conductivity of nanofilms and nanowires: Making atomistic modeling more realistic
journal, October 2019
- Verdier, Maxime; Lacroix, David; Termentzidis, Konstantinos
- Journal of Applied Physics, Vol. 126, Issue 16
Prediction of Kapitza resistance at fluid-solid interfaces
journal, November 2019
- Alosious, Sobin; Kannam, Sridhar Kumar; Sathian, Sarith P.
- The Journal of Chemical Physics, Vol. 151, Issue 19
Effects of Aperiodicity and Roughness on Coherent Heat Conduction in Superlattices
journal, October 2015
- Qiu, Bo; Chen, Gang; Tian, Zhiting
- Nanoscale and Microscale Thermophysical Engineering, Vol. 19, Issue 4
Advances in the measurement and computation of thermal phonon transport properties
journal, January 2015
- Minnich, A. J.
- Journal of Physics: Condensed Matter, Vol. 27, Issue 5
Phonon transport in periodically and quasi-periodically modulated cylindrical nanowires
journal, September 2019
- Xie, Zhong-Xiang; Zhang, Yong; Chen, Xue-Kun
- Journal of Physics: Condensed Matter, Vol. 31, Issue 50
Phonon thermal transport in silicene-germanene superlattice: a molecular dynamics study
journal, June 2017
- Wang, Xinyu; Hong, Yang; Chan, Paddy K. L.
- Nanotechnology, Vol. 28, Issue 25
A formalism for calculating the modal contributions to thermal interface conductance
journal, September 2015
- Gordiz, Kiarash; Henry, Asegun
- New Journal of Physics, Vol. 17, Issue 10
Screw dislocation induced phonon transport suppression in SiGe superlattices
journal, August 2019
- Hu, Song; Zhang, Hongping; Xiong, Shiyun
- Physical Review B, Vol. 100, Issue 7
Unexpected high inelastic phonon transport across solid-solid interface: Modal nonequilibrium molecular dynamics simulations and Landauer analysis
journal, January 2019
- Feng, Tianli; Zhong, Yang; Shi, Jingjing
- Physical Review B, Vol. 99, Issue 4
Tuning Phonon Transport: From Interfaces to Nanostructures
journal, May 2013
- Norris, Pamela M.; Le, Nam Q.; Baker, Christopher H.
- Journal of Heat Transfer, Vol. 135, Issue 6
Nanocomposites for thermoelectrics and thermal engineering
journal, September 2015
- Liao, Bolin; Chen, Gang
- MRS Bulletin, Vol. 40, Issue 9
An excellent candidate for largely reducing interfacial thermal resistance: a nano-confined mass graded interface
text, January 2016
- Zhou, Yanguang; Zhang, Xiaoliang; Hu, Ming
- RWTH Aachen University
Role of anharmonic phonon scattering in the spectrally decomposed thermal conductance at planar interfaces
text, January 2014
- Sääskilahti, K.; Oksanen, J.; Tulkki, J.
- arXiv
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