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

Journal Article · · Physical Review Letters
 [1];  [2];  [2];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of California, Los Angeles, CA (United States)

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

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Revolutionary Materials for Solid State Energy Conversion (RMSSEC); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
DMR-1106024; SC0001054; AC52-07NA27344; AC02-05CH11231.
OSTI ID:
1165812
Journal Information:
Physical Review Letters, Vol. 113, Issue 18; ISSN 0031-9007: PRLTAO
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

References (45)

Dynamical Theory of Crystal Lattices journal October 1955
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
Perspectives on thermoelectrics: from fundamentals to device applications journal January 2012
On the evaluation of phonon widths and shifts journal January 1962
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
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
Lone pair electrons minimize lattice thermal conductivity journal January 2013
Density-functional approach to nonlinear-response coefficients of solids journal June 1989
An Introduction To Compressive Sampling journal March 2008
Method to extract anharmonic force constants from first principles calculations journal April 2008
Temperature-dependent effective third-order interatomic force constants from first principles journal October 2013
Generalized cluster description of multicomponent systems journal November 1984
Compressive sensing as a paradigm for building physics models journal January 2013
Cluster expansion made easy with Bayesian compressive sensing journal October 2013
Decoding by Linear Programming journal December 2005
Stable signal recovery from incomplete and inaccurate measurements
  • Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
  • Communications on Pure and Applied Mathematics, Vol. 59, Issue 8, p. 1207-1223 https://doi.org/10.1002/cpa.20124
journal January 2006
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information journal February 2006
Dynamical matrices, Born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory journal April 1997
Uncertainty principles and ideal atomic decomposition journal January 2001
Generalized Gradient Approximation Made Simple journal October 1996
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
Thermal Conductivity of Silicon and Germanium from 3°K to the Melting Point journal May 1964
Markoff Random Processes and the Statistical Mechanics of Time‐Dependent Phenomena. II. Irreversible Processes in Fluids journal March 1954
Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems journal June 1957
A simple nonequilibrium molecular dynamics method for calculating the thermal conductivity journal April 1997
Homogeneous NEMD algorithm for thermal conductivity—Application of non-canonical linear response theory journal October 1982
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
Thermal Conductivity of Eight Halide Crystals in the Temperature Range 220°K to 390°K journal August 1960
High Performance Thermoelectricity in Earth-Abundant Compounds Based on Natural Mineral Tetrahedrites journal October 2012
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
Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information preprint January 2004

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Ultralow Thermal Conductivity in Full Heusler Semiconductors journal July 2016
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