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Title: First principles Peierls-Boltzmann phonon thermal transport: A topical review

Journal Article · · Nanoscale and Microscale Thermophysical Engineering
 [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

The advent of coupled thermal transport calculations with interatomic forces derived from density functional theory has ushered in a new era of fundamental microscopic insight into lattice thermal conductivity. Subsequently, significant new understanding of phonon transport behavior has been developed with these methods, and because they are parameter free and successfully benchmarked against a variety of systems, they also provide reliable predictions of thermal transport in systems for which little is known. This topical review will describe the foundation from which first principles Peierls-Boltzmann transport equation methods have been developed, and briefly describe important necessary ingredients for accurate calculations. Sample highlights of reported work will be presented to illustrate the capabilities and challenges of these techniques, and to demonstrate the suite of tools available, with an emphasis on thermal transport in micro- and nano-scale systems. In conclusion, future challenges and opportunities will be discussed, drawing attention to prospects for methods development and applications.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1331089
Journal Information:
Nanoscale and Microscale Thermophysical Engineering, Vol. 20, Issue 2; ISSN 1556-7265
Publisher:
Taylor & FrancisCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 70 works
Citation information provided by
Web of Science

References (137)

Intrinsic lattice thermal conductivity of semiconductors from first principles journal December 2007
High figures of merit and natural nanostructures in Mg2Si0.4Sn0.6 based thermoelectric materials journal September 2008
Ab initio thermal transport in compound semiconductors journal April 2013
Quantum mechanical prediction of four-phonon scattering rates and reduced thermal conductivity of solids journal January 2016
Influence of the optical-acoustic phonon hybridization on phonon scattering and thermal conductivity journal May 2016
Nitrogen in diamond: evidence from thermal conductivity journal November 1975
Deviational simulation of phonon transport in graphene ribbons with ab initio scattering journal October 2014
Pressure Dependence of Raman Linewidth in Semiconductors journal January 2001
Entropy Driven Stabilization of Energetically Unstable Crystal Structures Explained from First Principles Theory journal March 2008
Reexamination of basal plane thermal conductivity of suspended graphene samples measured by electro-thermal micro-bridge methods journal May 2015
Low thermal conductivity and triaxial phononic anisotropy of SnSe journal September 2014
Thermal conductivity of a boron phosphide single‐crystal wafer up to high temperature journal March 1989
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Coexistence of size-dependent and size-independent thermal conductivities in phosphorene journal December 2014
Spectral and Fermi surface properties from Wannier interpolation journal May 2007
Computer engineering: Feeling the heat journal December 2012
Large tunability of lattice thermal conductivity of monolayer silicene via mechanical strain journal February 2016
Electronic and thermal transport properties of Mg2Sn crystals containing finely dispersed eutectic structures journal November 2010
Anisotropic intrinsic lattice thermal conductivity of phosphorene from first principles journal January 2015
Thermal Conductivity of Graphene and Graphite: Collective Excitations and Mean Free Paths journal October 2014
Lattice thermal conductivity of single-walled carbon nanotubes: Beyond the relaxation time approximation and phonon-phonon scattering selection rules journal September 2009
Effect of exchange–correlation on first-principles-driven lattice thermal conductivity predictions of crystalline silicon journal December 2015
A method for distinguishing between propagons, diffusions, and locons journal July 2016
Lattice Anharmonicity and Thermal Conductivity from Compressive Sensing of First-Principles Calculations journal October 2014
An iterative approach to the phonon Boltzmann equation in the theory of thermal conductivity journal July 1995
Thermal Conductivity and Large Isotope Effect in GaN from First Principles journal August 2012
Self-consistent phonon calculations of lattice dynamical properties in cubic SrTiO 3 with first-principles anharmonic force constants journal August 2015
Thermal conductivity of silicene from first-principles journal March 2014
Model for Lattice Thermal Conductivity at Low Temperatures journal February 1959
Beyond the isotropic-model approximation in the theory of thermal conductivity journal April 1996
Thermal Conductivity of Elements with Complex Lattices: B, P, S journal July 1965
Thermal conductivity and phonon linewidths of monolayer MoS 2 from first principles journal December 2013
Thermal physics of the lead chalcogenides PbS, PbSe, and PbTe from first principles journal May 2014
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Role of Disorder and Anharmonicity in the Thermal Conductivity of Silicon-Germanium Alloys: A First-Principles Study journal January 2011
Zur Theorie der spezifischen Wärmen journal January 1912
Phonon linewidth in III-V semiconductors from density-functional perturbation theory journal May 1998
ShengBTE: A solver of the Boltzmann transport equation for phonons journal June 2014
Thermal Conductivity of Wurtzite Zinc-Oxide from First-Principles Lattice Dynamics – a Comparative Study with Gallium Nitride journal March 2016
Ab initio calculation of phonon dispersions in semiconductors journal March 1991
Effect of nitrogen and vacancy defects on the thermal conductivity of diamond: An ab initio Green's function approach journal September 2014
First principles calculation of lattice thermal conductivity of metals considering phonon-phonon and phonon-electron scattering journal June 2016
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Three-phonon phase space and lattice thermal conductivity in semiconductors journal March 2008
Ultralow lattice thermal conductivity of the fully filled skutterudite YbFe 4 Sb 12 due to the flat avoided-crossing filler modes journal April 2015
Superior Thermal Conductivity of Single-Layer Graphene journal March 2008
Anisotropic in-plane thermal conductivity observed in few-layer black phosphorus journal October 2015
Thermal conductivity of bulk and nanowire Mg 2 Si x Sn 1 x alloys from first principles journal November 2012
Hydrodynamic phonon transport in suspended graphene journal February 2015
Anharmonic Phonon Lifetimes in Semiconductors from Density-Functional Perturbation Theory journal August 1995
Estimation of the isotope effect on the lattice thermal conductivity of group IV and group III-V semiconductors journal November 2002
Ab initio variational approach for evaluating lattice thermal conductivity journal July 2013
Structural stability of single-layer MoS 2 under large strain journal February 2015
Computational Study of In-Plane Phonon Transport in Si Thin Films journal September 2014
Anisotropic Thermal Conductivity of Exfoliated Black Phosphorus journal October 2015
Frequency dependence of the thermal conductivity of semiconductor alloys journal August 2007
Thermal conductivity of individual silicon nanowires journal October 2003
Thermal conductivity of isotopically modified single crystal diamond journal June 1993
Raman tensor calculated from the 2 n + 1 theorem in density-functional theory journal September 2002
Intrinsic lifetimes and anharmonic frequency shifts of long-wavelength optical phonons in polar crystals journal January 2004
First-principles prediction of phononic thermal conductivity of silicene: A comparison with graphene journal January 2015
Phonon hydrodynamics in solids journal July 1974
Improved Callaway model for lattice thermal conductivity journal October 2013
Temperature-dependent effective third-order interatomic force constants from first principles journal October 2013
Calculation of the lattice constant of solids with semilocal functionals journal February 2009
Phonon Anharmonicities in Graphite and Graphene journal October 2007
Low lattice thermal conductivity of stanene journal February 2016
Tensile strains give rise to strong size effects for thermal conductivities of silicene, germanene and stanene journal January 2016
Phonon-isotope scattering and thermal conductivity in materials with a large isotope effect: A first-principles study journal October 2013
Thermal conductivity of skutterudite CoSb3 from first principles: Substitution and nanoengineering effects journal January 2015
Strongly anisotropic in-plane thermal transport in single-layer black phosphorene journal February 2015
Thermoelectric properties of Bi-doped Mg2Si semiconductors journal July 2005
Some aspects of the thermal conductivity of isotopically enriched diamond single crystals journal May 1992
Thermal conductivity of diamond between 170 and 1200 K and the isotope effect journal June 1993
Lattice Dynamics of Alkali Halide Crystals. II. Experimental Studies of KBr and NaI journal August 1963
Method to extract anharmonic force constants from first principles calculations journal April 2008
Thermal conductivity of isotopically modified graphene journal January 2012
Distributions of phonon lifetimes in Brillouin zones journal March 2015
Isotope effect in the thermal conductivity of germanium single crystals journal March 1996
Direct Measurement of Room-Temperature Nondiffusive Thermal Transport Over Micron Distances in a Silicon Membrane journal January 2013
Diameter Dependence of Lattice Thermal Conductivity of Single-Walled Carbon Nanotubes: Study from Ab Initio journal October 2015
Phonon Dispersion Curves in Wurtzite-Structure GaN Determined by Inelastic X-Ray Scattering journal January 2001
Ab initio theory of the lattice thermal conductivity in diamond journal September 2009
Ab initio calculation of the thermal conductivity of indium antimonide journal November 2014
Nonmetallic crystals with high thermal conductivity journal January 1973
Thermal barrier coating materials journal June 2005
Phonon Self-Energy and Origin of Anomalous Neutron Scattering Spectra in SnTe and PbTe Thermoelectrics journal April 2014
Anharmonic force constants extracted from first-principles molecular dynamics: applications to heat transfer simulations journal May 2014
Phonons in single-layer and few-layer MoS 2 and WS 2 journal October 2011
Direct Solution to the Linearized Phonon Boltzmann Equation journal June 2013
Isotope scattering of dispersive phonons in Ge journal January 1983
First-Principles Theory of Anharmonicity and the Inverse Isotope Effect in Superconducting Palladium-Hydride Compounds journal October 2013
Coherent Phonon Heat Conduction in Superlattices journal November 2012
Calculated transport properties of CdO: Thermal conductivity and thermoelectric power factor journal October 2015
Phonons and related crystal properties from density-functional perturbation theory journal July 2001
Thermal conductivity of half-Heusler compounds from first-principles calculations journal September 2011
High Thermal Conductivity in Short-Period Superlattices journal December 2011
Nanoscale thermal transport. II. 2003–2012 journal March 2014
Special points for Brillouin-zone integrations journal June 1976
Thermal conductivity of disordered harmonic solids journal November 1993
First-principles computation of material properties: the ABINIT software project journal November 2002
On the Numerical Calculation of the Density of States and Related Properties journal December 1972
Thermal transport by phonons and electrons in aluminum, silver, and gold from first principles journal February 2016
Inhomogeneous Electron Gas journal November 1964
First-Principles Determination of Ultrahigh Thermal Conductivity of Boron Arsenide: A Competitor for Diamond? journal July 2013
Raman Measurements of Thermal Transport in Suspended Monolayer Graphene of Variable Sizes in Vacuum and Gaseous Environments journal December 2010
Physically founded phonon dispersions of few-layer materials and the case of borophene journal April 2016
Vibrational spectra and lattice thermal conductivity of kesterite-structured Cu 2 ZnSnS 4 and Cu 2 ZnSnSe 4 journal April 2015
On the importance of optical phonons to thermal conductivity in nanostructures journal August 2011
Lattice dynamics of anharmonic solids from first principles journal November 2011
Comprehensive Review of heat Transfer in Thermoelectric Materials and Devices journal January 2014
Isotope scattering of large-wave-vector phonons in GaAs and InSb: Deformation-dipole and overlap-shell models journal July 1984
Thermal conductivity of bulk and nanowire InAs, AlN, and BeO polymorphs from first principles journal November 2013
Phonon thermal transport in strained and unstrained graphene from first principles journal April 2014
Broadband phonon mean free path contributions to thermal conductivity measured using frequency domain thermoreflectance journal March 2013
Phonon hydrodynamics in two-dimensional materials journal March 2015
Disparate Strain Dependent Thermal Conductivity of Two-dimensional Penta-Structures journal May 2016
Ab initio calculation of the linewidth of various phonon modes in germanium and silicon journal April 2003
On the isotope effect in thermal conductivity of silicon journal November 2004
Phonon Transport Simulator (PhonTS) journal July 2015
Resonant bonding leads to low lattice thermal conductivity journal April 2014
Length-dependent thermal conductivity in suspended single-layer graphene journal April 2014
Strongly anisotropic in-plane thermal transport in single-layer black phosphorene. text January 2018
Diameter Dependence of Lattice Thermal Conductivity of Single-Walled Carbon Nanotubes: Study from Ab Initio text January 2015
High-resolution X-ray luminescence extension imaging journal February 2021
Strongly anisotropic in-plane thermal transport in single-layer black phosphorene. text January 2015
Raman tensor calculated from the 2n+1 theorem in density-functional theory text January 2002
Physically founded phonon dispersions of few-layer materials and the case of borophene [Supplemental information] other November 2015
Inhomogeneous Electron Gas journal March 1973
First-Principles Theory of Anharmonicity and the Inverse Isotope Effect in Superconducting Palladium-Hydride Compounds text January 2013
Length-dependent thermal conductivity in suspended single-layer graphene text January 2014
Thermal physics of the lead chalcogenides PbS, PbSe, and PbTe from first principles text January 2014
Low thermal conductivity and triaxial phononic anisotropy of SnSe text January 2014
Tensile Strains Give Rise to Strong Size Effects for Thermal Conductivities of Silicene, Germanene and Stanene text January 2015
Spectral and Fermi surface properties from Wannier interpolation text January 2007
Intrinsic lifetimes and anharmonic frequency shifts of long-wavelength optical phonons in polar crystals text January 2004
Ab initio theory of the lattice thermal conductivity in diamond text January 2009

Cited By (28)

Dislocation-induced thermal transport anisotropy in single-crystal group-III nitride films journal December 2018
Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials journal October 2018
Phonon properties and thermal conductivity from first principles, lattice dynamics, and the Boltzmann transport equation journal January 2019
A scattering rate model for accelerated evaluation of lattice thermal conductivity bypassing anharmonic force constants journal May 2019
Perspective on ab initio phonon thermal transport journal August 2019
A Review of Thermal Transport in Low-Dimensional Materials Under External Perturbation: Effect of Strain, Substrate, and Clustering journal January 2017
A lower bound to the thermal diffusivity of insulators journal July 2019
Ab initio investigation of single-layer high thermal conductivity boron compounds journal August 2019
Glass-like thermal conductivity in nanostructures of a complex anisotropic crystal journal December 2017
Ab initio phonon point defect scattering and thermal transport in graphene journal January 2018
Phonon hydrodynamics for nanoscale heat transport at ordinary temperatures journal January 2018
Lattice thermal conductivities of two SiO 2 polymorphs by first-principles calculations and the phonon Boltzmann transport equation journal June 2018
Infrared reflectance, transmittance, and emittance spectra of MgO from first principles journal November 2018
Quartic Anharmonicity of Rattlers and Its Effect on Lattice Thermal Conductivity of Clathrates from First Principles journal March 2018
Thermal Expansion for Charring Ablative Materials journal July 2019
A review of computational phononics: the bulk, interfaces, and surfaces journal October 2017
Pressure induced excellent thermoelectric behavior in skutterudites CoSb 3 and IrSb 3 journal January 2019
Phonon interaction with ripples and defects in thin layered molybdenum disulfide journal June 2019
Lattice thermal transport in L a 3 C u 3 X 4 compounds ( X = P , As , Sb , Bi ) : Interplay of anharmonicity and scattering phase space journal June 2017
Generalization of Fourier’s Law into Viscous Heat Equations journal January 2020
Thermal conductivity of InN with point defects from first principles journal July 2018
Modulating the thermal conductivity in hexagonal boron nitride via controlled boron isotope concentration journal May 2019
Thermal Transport in Disordered Materials journal November 2018
An efficient and accurate framework for calculating lattice thermal conductivity of solids: AFLOW—AAPL Automatic Anharmonic Phonon Library journal October 2017
Dislocation-induced thermal transport anisotropy in single-crystal group-III nitride films text January 2018
A lower bound to the thermal diffusivity of insulators text January 2019
Deducing Phonon Scattering from Normal Mode Excitations journal May 2019
Tailoring phononic, electronic, and thermoelectric properties of orthorhombic GeSe through hydrostatic pressure journal July 2019

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