DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Lattice Anharmonicity and Thermal Conductivity from Compressive Sensing of First-Principles Calculations

Abstract

First-principles prediction of lattice thermal conductivity KL of strongly anharmonic crystals is a long-standing challenge in solid state physics. Using recent advances in information science, we propose a systematic and rigorous approach to this problem, compressive sensing lattice dynamics (CSLD). Compressive sensing is used to select the physically important terms in the lattice dynamics model and determine their values in one shot. Non-intuitively, high accuracy is achieved when the model is trained on first-principles forces in quasi-random atomic configurations. The method is demonstrated for Si, NaCl, and Cu12Sb4S13, an earth-abundant thermoelectric with strong phononphonon interactions that limit the room-temperature KL to values near the amorphous limit.

Authors:
 [1];  [2];  [2];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of California, Los Angeles, CA (United States). Dept. of Materials Science and Engineering
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Revolutionary Materials for Solid State Energy Conversion (RMSSEC); Univ. of California, Los Angeles, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1253343
Alternate Identifier(s):
OSTI ID: 1181325
Grant/Contract Number:  
SC0001054; AC52-07NA27344; AC02-05CH11231; DMR-1106024; AC02-05CH11231.
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 113; Journal Issue: 18; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Zhou, Fei, Nielson, Weston, Xia, Yi, and Ozolins, Vidvuds. Lattice Anharmonicity and Thermal Conductivity from Compressive Sensing of First-Principles Calculations. United States: N. p., 2014. Web. doi:10.1103/PhysRevLett.113.185501.
Zhou, Fei, Nielson, Weston, Xia, Yi, & Ozolins, Vidvuds. Lattice Anharmonicity and Thermal Conductivity from Compressive Sensing of First-Principles Calculations. United States. https://doi.org/10.1103/PhysRevLett.113.185501
Zhou, Fei, Nielson, Weston, Xia, Yi, and Ozolins, Vidvuds. Mon . "Lattice Anharmonicity and Thermal Conductivity from Compressive Sensing of First-Principles Calculations". United States. https://doi.org/10.1103/PhysRevLett.113.185501. https://www.osti.gov/servlets/purl/1253343.
@article{osti_1253343,
title = {Lattice Anharmonicity and Thermal Conductivity from Compressive Sensing of First-Principles Calculations},
author = {Zhou, Fei and Nielson, Weston and Xia, Yi and Ozolins, Vidvuds},
abstractNote = {First-principles prediction of lattice thermal conductivity KL of strongly anharmonic crystals is a long-standing challenge in solid state physics. Using recent advances in information science, we propose a systematic and rigorous approach to this problem, compressive sensing lattice dynamics (CSLD). Compressive sensing is used to select the physically important terms in the lattice dynamics model and determine their values in one shot. Non-intuitively, high accuracy is achieved when the model is trained on first-principles forces in quasi-random atomic configurations. The method is demonstrated for Si, NaCl, and Cu12Sb4S13, an earth-abundant thermoelectric with strong phononphonon interactions that limit the room-temperature KL to values near the amorphous limit.},
doi = {10.1103/PhysRevLett.113.185501},
journal = {Physical Review Letters},
number = 18,
volume = 113,
place = {United States},
year = {Mon Oct 27 00:00:00 EDT 2014},
month = {Mon Oct 27 00:00:00 EDT 2014}
}

Journal Article:

Citation Metrics:
Cited by: 191 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Dynamical Theory of Crystal Lattices
journal, October 1955

  • Born, Max; Huang, Kun; Lax, M.
  • American Journal of Physics, Vol. 23, Issue 7
  • DOI: 10.1119/1.1934059

Charge Density and Structural Properties of Covalent Semiconductors
journal, April 1978


Vibrational frequencies via total-energy calculations. Applications to transition metals
journal, February 1984


Ab Initio Force Constants of GaAs: A New Approach to Calculation of Phonons and Dielectric Properties
journal, February 1982


First-Principles Determination of the Soft Mode in Cubic ZrO 2
journal, May 1997


Phonons and related crystal properties from density-functional perturbation theory
journal, July 2001

  • Baroni, Stefano; de Gironcoli, Stefano; Dal Corso, Andrea
  • Reviews of Modern Physics, Vol. 73, Issue 2
  • DOI: 10.1103/RevModPhys.73.515

On the evaluation of phonon widths and shifts
journal, January 1962

  • Maradudin, A. A.; Fein, A. E.; Vineyard, G. H.
  • physica status solidi (b), Vol. 2, Issue 11
  • DOI: 10.1002/pssb.19620021106

Beyond the isotropic-model approximation in the theory of thermal conductivity
journal, April 1996


Anharmonic Phonon Lifetimes in Semiconductors from Density-Functional Perturbation Theory
journal, August 1995


Intrinsic lattice thermal conductivity of semiconductors from first principles
journal, December 2007

  • Broido, D. A.; Malorny, M.; Birner, G.
  • Applied Physics Letters, Vol. 91, Issue 23
  • DOI: 10.1063/1.2822891

Role of Disorder and Anharmonicity in the Thermal Conductivity of Silicon-Germanium Alloys: A First-Principles Study
journal, January 2011


Heat transport in silicon from first-principles calculations
journal, August 2011


Lower limit to the thermal conductivity of disordered crystals
journal, September 1992

  • Cahill, David G.; Watson, S. K.; Pohl, R. O.
  • Physical Review B, Vol. 46, Issue 10, p. 6131-6140
  • DOI: 10.1103/PhysRevB.46.6131

Generalized cluster description of multicomponent systems
journal, November 1984

  • Sanchez, J. M.; Ducastelle, F.; Gratias, D.
  • Physica A: Statistical Mechanics and its Applications, Vol. 128, Issue 1-2
  • DOI: 10.1016/0378-4371(84)90096-7

Compressive sensing as a paradigm for building physics models
journal, January 2013


Cluster expansion made easy with Bayesian compressive sensing
journal, October 2013


Stable signal recovery from incomplete and inaccurate measurements
journal, January 2006

  • Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
  • Communications on Pure and Applied Mathematics, Vol. 59, Issue 8, p. 1207-1223
  • DOI: 10.1002/cpa.20124

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
journal, February 2006

  • Candes, E.J.; Romberg, J.; Tao, T.
  • IEEE Transactions on Information Theory, Vol. 52, Issue 2, p. 489-509
  • DOI: 10.1109/TIT.2005.862083

Uncertainty principles and ideal atomic decomposition
journal, January 2001

  • Donoho, D. L.; Huo, X.
  • IEEE Transactions on Information Theory, Vol. 47, Issue 7
  • DOI: 10.1109/18.959265

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Projector augmented-wave method
journal, December 1994


From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999


ShengBTE: A solver of the Boltzmann transport equation for phonons
journal, June 2014

  • Li, Wu; Carrete, Jesús; A. Katcho, Nebil
  • Computer Physics Communications, Vol. 185, Issue 6
  • DOI: 10.1016/j.cpc.2014.02.015

Markoff Random Processes and the Statistical Mechanics of Time‐Dependent Phenomena. II. Irreversible Processes in Fluids
journal, March 1954

  • Green, Melville S.
  • The Journal of Chemical Physics, Vol. 22, Issue 3
  • DOI: 10.1063/1.1740082

A simple nonequilibrium molecular dynamics method for calculating the thermal conductivity
journal, April 1997

  • Müller-Plathe, Florian
  • The Journal of Chemical Physics, Vol. 106, Issue 14
  • DOI: 10.1063/1.473271

Thermal conductivity and heat capacity of solid NaCl and NaI under pressure
journal, January 1986


Low Temperature System for Thermal Conductivity Measurements
journal, October 1966

  • Klein, Miles V.; Caldwell, R. F.
  • Review of Scientific Instruments, Vol. 37, Issue 10
  • DOI: 10.1063/1.1719962

Thermal Conductivity of Eight Halide Crystals in the Temperature Range 220°K to 390°K
journal, August 1960

  • McCarthy, Kathryn A.; Ballard, Stanley S.
  • Journal of Applied Physics, Vol. 31, Issue 8
  • DOI: 10.1063/1.1735853

High Performance Thermoelectricity in Earth-Abundant Compounds Based on Natural Mineral Tetrahedrites
journal, October 2012

  • Lu, Xu; Morelli, Donald T.; Xia, Yi
  • Advanced Energy Materials, Vol. 3, Issue 3, p. 342-348
  • DOI: 10.1002/aenm.201200650

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021


Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020


Heat transport in silicon from first principles calculations
text, January 2011


Cluster expansion made easy with Bayesian compressive sensing
text, January 2013


Works referencing / citing this record:

Retreat from Stress: Rattling in a Planar Coordination
journal, February 2018

  • Suekuni, Koichiro; Lee, Chul Ho; Tanaka, Hiromi I.
  • Advanced Materials, Vol. 30, Issue 13
  • DOI: 10.1002/adma.201706230

The Hiphive Package for the Extraction of High‐Order Force Constants by Machine Learning
journal, February 2019

  • Eriksson, Fredrik; Fransson, Erik; Erhart, Paul
  • Advanced Theory and Simulations, Vol. 2, Issue 5
  • DOI: 10.1002/adts.201800184

Slow thermal equilibration in methylammonium lead iodide revealed by transient mid-infrared spectroscopy
journal, July 2018


Designing chemical analogs to PbTe with intrinsic high band degeneracy and low lattice thermal conductivity
journal, February 2019


Empirical interatomic potentials optimized for phonon properties
journal, July 2017

  • Rohskopf, Andrew; Seyf, Hamid R.; Gordiz, Kiarash
  • npj Computational Materials, Vol. 3, Issue 1
  • DOI: 10.1038/s41524-017-0026-y

Phonon and magnetic structure in δ-plutonium from density-functional theory
journal, October 2015

  • Söderlind, Per; Zhou, F.; Landa, A.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep15958

SnO as a potential oxide thermoelectric candidate
journal, January 2017

  • Miller, Samuel A.; Gorai, Prashun; Aydemir, Umut
  • Journal of Materials Chemistry C, Vol. 5, Issue 34
  • DOI: 10.1039/c7tc01623a

Promoted high temperature carrier mobility and thermoelectric performance of InTe enabled by altering scattering mechanism
journal, January 2019

  • Zhu, Huaxing; Zhang, Bin; Wang, Guiwen
  • Journal of Materials Chemistry A, Vol. 7, Issue 19
  • DOI: 10.1039/c9ta00475k

Research Update: Cu–S based synthetic minerals as efficient thermoelectric materials at medium temperatures
journal, October 2016

  • Suekuni, Koichiro; Takabatake, Toshiro
  • APL Materials, Vol. 4, Issue 10
  • DOI: 10.1063/1.4955398

Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas
journal, March 2018

  • Zhang, Shuai; Militzer, Burkhard; Benedict, Lorin X.
  • The Journal of Chemical Physics, Vol. 148, Issue 10
  • DOI: 10.1063/1.5001208

Lattice thermal transport in group II-alloyed PbTe
journal, April 2018

  • Xia, Yi; Hodges, James M.; Kanatzidis, Mercouri G.
  • Applied Physics Letters, Vol. 112, Issue 18
  • DOI: 10.1063/1.5002587

Revisiting lattice thermal transport in PbTe: The crucial role of quartic anharmonicity
journal, August 2018


Anharmonic stabilization and lattice heat transport in rocksalt β -GeTe
journal, November 2018

  • Xia, Yi; Chan, Maria K. Y.
  • Applied Physics Letters, Vol. 113, Issue 19
  • DOI: 10.1063/1.5048814

Enhanced thermoelectric performance in single-crystal-like semiconducting flexible GaAs films
journal, March 2019

  • Singh, S.; Dutta, P.; Rathi, M.
  • APL Materials, Vol. 7, Issue 3
  • DOI: 10.1063/1.5086061

First-principles assessment of thermoelectric properties of CuFeS2
journal, March 2019

  • Park, Junsoo; Xia, Yi; Ozoliņš, Vidvuds
  • Journal of Applied Physics, Vol. 125, Issue 12
  • DOI: 10.1063/1.5088165

Perspective on ab initio phonon thermal transport
journal, August 2019

  • Lindsay, Lucas; Katre, Ankita; Cepellotti, Andrea
  • Journal of Applied Physics, Vol. 126, Issue 5
  • DOI: 10.1063/1.5108651

First Principles Peierls-Boltzmann Phonon Thermal Transport: A Topical Review
journal, April 2016


First-principles calculations of thermal, electrical, and thermoelectric transport properties of semiconductors
journal, March 2016


Quaternary compounds Ag 2 XYSe 4 (X  =  Ba, Sr; Y  =  Sn, Ge) as novel potential thermoelectric materials
journal, January 2020

  • Hong, A. J.; Yuan, C. L.; Liu, J-M
  • Journal of Physics D: Applied Physics, Vol. 53, Issue 11
  • DOI: 10.1088/1361-6463/ab6056

Learning physical descriptors for materials science by compressed sensing
journal, February 2017

  • Ghiringhelli, Luca M.; Vybiral, Jan; Ahmetcik, Emre
  • New Journal of Physics, Vol. 19, Issue 2
  • DOI: 10.1088/1367-2630/aa57bf

Exploring a potential energy surface by machine learning for characterizing atomic transport
journal, March 2018


Origin of the transition entropy in vanadium dioxide
journal, February 2019


Promising thermoelectric materials of Cu 3 VX 4 (X=S, Se, Te): A Cu-V-X framework plus void tunnels
journal, August 2019

  • Liu, Xiao-Peng; Feng, Zhen-Zhen; Guo, Shu-Ping
  • International Journal of Modern Physics C, Vol. 30, Issue 08
  • DOI: 10.1142/s0129183119500451

Ultralow Thermal Conductivity in Full Heusler Semiconductors
text, January 2016


Phonon lifetimes throughout the Brillouin zone at elevated temperatures from experiment and ab Initio
collection, January 2019

  • Glensk, Albert; Grabowski, Blazej; Hickel, Tilmann
  • Universität Stuttgart
  • DOI: 10.18419/opus-11337

Representation of compounds for machine-learning prediction of physical properties
text, January 2016


Lattice thermal transport in group II-alloyed PbTe
text, January 2017


Compressive sensing lattice dynamics. I. General formalism
text, January 2018


The hiphive package for the extraction of high-order force constants by machine learning
text, January 2018