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Title: Accelerated computation of lattice thermal conductivity using neural network interatomic potentials

Journal Article · · Computational Materials Science
 [1];  [1];  [1];  [1];  [2];  [1]
  1. Seoul National University (Korea, Republic of)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

We report with the development of the density functional theory (DFT) and ever-increasing computational capacity, an accurate prediction of lattice thermal conductivity based on the Boltzmann transport theory becomes computationally feasible, contributing to a fundamental understanding of thermal conductivity as well as a choice of the optimal materials for specific applications. However, steep costs in evaluating third-order force constants limit the theoretical investigation to crystals with high symmetry and few atoms in the unit cell. Currently, machine learning potentials are garnering attention as a computationally efficient high-fidelity model of DFT, and several studies have demonstrated that the lattice thermal conductivity could be computed accurately via the machine learning potentials. However, test materials were mostly crystals with high symmetries, and the applicability of machine learning potentials to a wide range of materials has yet to be demonstrated. Furthermore, establishing a standard training set that provides consistent accuracy and computational efficiencies across a wide range of materials would be useful. To address these issues, herein we compute lattice thermal conductivities at 300 K using neural network interatomic potentials. As test materials, we select 25 materials with diverse symmetries and a wide range of lattice thermal conductivities between 10-1 and 103 Wm-1K-1. Among various choices of training sets, we find that molecular dynamics trajectories at 50–700 K consistently provide results at par with DFT for the test materials. In contrast to pure DFT approaches, the computational cost in the present approach is uniform over the test materials, yielding a speed gain of 2–10 folds. When a smaller reduced training set is used, the relative efficiency increases by up to ~50 folds without sacrificing accuracy significantly. The current work will broaden the application scope of machine learning potentials by establishing a robust framework for accurately computing lattice thermal conductivity with machine learning potentials.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); Korea Institute of Ceramic Engineering and Technology (KICET); National Research Foundation of Korea (NRF); Ministry of Science and ICT
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1892139
Report Number(s):
LLNL-JRNL-831802; 1048754
Journal Information:
Computational Materials Science, Journal Name: Computational Materials Science Journal Issue: N/A Vol. 211; ISSN 0927-0256
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (59)

The Hiphive Package for the Extraction of High‐Order Force Constants by Machine Learning journal February 2019
Inorganic thermoelectric materials: A review journal March 2020
Review of current high-ZT thermoelectric materials journal June 2020
Ab initio molecular dynamics for liquid metals journal December 1995
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Thermal barrier coating materials journal June 2005
Thermal conductivity of single-layer MoS2(1−x)Se2x alloys from molecular dynamics simulations with a machine-learning-based interatomic potential journal July 2019
Crystallization of amorphous GeTe simulated by neural network potential addressing medium-range order journal August 2020
Neural network potential for studying the thermal conductivity of Sn journal December 2021
ShengBTE: A solver of the Boltzmann transport equation for phonons journal June 2014
SIMPLE-NN: An efficient package for training and executing neural-network interatomic potentials journal September 2019
a-TDEP: Temperature Dependent Effective Potential for Abinit – Lattice dynamic properties including anharmonicity journal September 2020
Accelerating first-principles estimation of thermal conductivity by machine-learning interatomic potentials: A MTP/ShengBTE solution journal January 2021
Review of thermal conductivity in composites: Mechanisms, parameters and theory journal October 2016
First principles phonon calculations in materials science journal November 2015
Capturing Anharmonicity in a Lattice Thermal Conductivity Model for High-Throughput Predictions journal November 2016
Rapid Prediction of Anisotropic Lattice Thermal Conductivity: Application to Layered Materials journal February 2019
High Thermal Conductivity of Wurtzite Boron Arsenide Predicted by Including Four-Phonon Scattering with Machine Learning Potential journal August 2021
Thermal Conductivity of Silicate Liquid Determined by Machine Learning Potentials journal September 2021
Thermal diffusivity measurement of rock-forming minerals from 300° to 1100°K journal January 1968
Computationally guided discovery of thermoelectric materials journal August 2017
Phonon-engineered extreme thermal conductivity materials journal March 2021
Material descriptors for predicting thermoelectric performance journal January 2015
Electrons and Phonons journal November 1961
Atom-centered symmetry functions for constructing high-dimensional neural network potentials journal February 2011
Properties of single crystalline semiconducting CoSb 3 journal October 1996
Gallium phosphide as a new material for anodically bonded atomic sensors journal August 2014
Anisotropic thermal conductivity in single crystal β-gallium oxide journal March 2015
First principles calculation of lattice thermal conductivity of metals considering phonon-phonon and phonon-electron scattering journal June 2016
A scattering rate model for accelerated evaluation of lattice thermal conductivity bypassing anharmonic force constants journal May 2019
Gaussian approximation potential for studying the thermal conductivity of silicene journal September 2019
Transferability of neural network potentials for varying stoichiometry: Phonons and thermal conductivity of Mn x Ge y compounds journal June 2020
Combining phonon accuracy with high transferability in Gaussian approximation potential models journal July 2020
A deep neural network interatomic potential for studying thermal conductivity of β -Ga 2 O 3 journal October 2020
Machine learning interatomic potential developed for molecular simulations on thermal properties of β-Ga 2 O 3 journal October 2020
The Inorganic Crystal Structure Database (ICSD)—Present and Future journal January 2004
High-temperature phonon transport properties of SnSe from machine-learning interatomic potential journal July 2021
Accessing thermal conductivity of complex compounds by machine learning interatomic potentials journal October 2019
Compressive sensing lattice dynamics. I. General formalism journal November 2019
Nonperturbative phonon scatterings and the two-channel thermal transport in Tl 3 VSe 4 journal June 2021
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Lattice dynamics of anharmonic solids from first principles journal November 2011
Thermal conductivity of diamond nanowires from first principles journal May 2012
Temperature dependent effective potential method for accurate free energy calculations of solids journal March 2013
High-throughput computational screening of thermal conductivity, Debye temperature, and Grüneisen parameter using a quasiharmonic Debye model journal November 2014
Distributions of phonon lifetimes in Brillouin zones journal March 2015
Gaussian Approximation Potentials: The Accuracy of Quantum Mechanics, without the Electrons journal April 2010
First-Principles Determination of Ultrahigh Thermal Conductivity of Boron Arsenide: A Competitor for Diamond? journal July 2013
Lattice Anharmonicity and Thermal Conductivity from Compressive Sensing of First-Principles Calculations journal October 2014
Prediction of Low-Thermal-Conductivity Compounds with First-Principles Anharmonic Lattice-Dynamics Calculations and Bayesian Optimization journal November 2015
Generalized Gradient Approximation Made Simple journal October 1996
High Performance Thermoelectric Tl 9 BiTe 6 with an Extremely Low Thermal Conductivity journal May 2001
First-Principles Calculations of Vibrational Lifetimes and Decay Channels: Hydrogen-Related Modes in Si journal March 2006
Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces journal April 2007
VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data journal October 2011
Unusual high thermal conductivity in boron arsenide bulk crystals journal July 2018
Moment Tensor Potentials: A Class of Systematically Improvable Interatomic Potentials journal January 2016
Simulating lattice thermal conductivity in semiconducting materials using high-dimensional neural network potential journal August 2019