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

Title: Anharmonic stabilization and lattice heat transport in rocksalt β-GeTe

Abstract

Peierls-Boltzmann transport equation, coupled with third-order anharmonic lattice dynamics calculations, has been widely used to model lattice thermal conductivity (κl) in bulk crystals. However, its application to materials with structural phase transition at relatively high temperature is fundamentally challenged by the presence of lattice instabilities (imaginary phonon modes). Additionally, its accuracy suffers from the absence of higher-than-third-order phonon scattering processes, which are important near/above the Debye temperature. In this letter, we present an effective scheme that combines temperature-induced anharmonic phonon renormalization and four-phonon scattering to resolve these two theoretical challenges. Here, we apply this scheme to investigate the lattice dynamics and thermal transport properties of GeTe, which undergoes a second-order ferroelectric phase transition from rhombohedral α-GeTe to rocksalt β-GeTe at about 700 K. Our results on the high-temperature phase β-GeTe at 800 K confirm the stabilization of β-GeTe by temperature effects. We find that considering only three-phonon scattering leads to significantly overestimated κl of 3.8 W/mK at 800 K, whereas including four-phonon scattering reduces κl to 1.7 W/mK, a value comparable with experiments. To explore the possibility to further suppress κl, we show that alloying β-GeTe with heavy cations such as Pb and Bi can effectively reduce κl to aboutmore » 1.0 W/mK, whereas particle size needs to be around 10 nm through nanostructuring to achieve a comparable reduction in κl.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1491401
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Applied Physics Letters
Additional Journal Information:
Journal Volume: 113; Journal Issue: 19; Journal ID: ISSN 0003-6951
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Xia, Yi, and Chan, Maria K. Y. Anharmonic stabilization and lattice heat transport in rocksalt β-GeTe. United States: N. p., 2018. Web. doi:10.1063/1.5048814.
Xia, Yi, & Chan, Maria K. Y. Anharmonic stabilization and lattice heat transport in rocksalt β-GeTe. United States. https://doi.org/10.1063/1.5048814
Xia, Yi, and Chan, Maria K. Y. Mon . "Anharmonic stabilization and lattice heat transport in rocksalt β-GeTe". United States. https://doi.org/10.1063/1.5048814. https://www.osti.gov/servlets/purl/1491401.
@article{osti_1491401,
title = {Anharmonic stabilization and lattice heat transport in rocksalt β-GeTe},
author = {Xia, Yi and Chan, Maria K. Y.},
abstractNote = {Peierls-Boltzmann transport equation, coupled with third-order anharmonic lattice dynamics calculations, has been widely used to model lattice thermal conductivity (κl) in bulk crystals. However, its application to materials with structural phase transition at relatively high temperature is fundamentally challenged by the presence of lattice instabilities (imaginary phonon modes). Additionally, its accuracy suffers from the absence of higher-than-third-order phonon scattering processes, which are important near/above the Debye temperature. In this letter, we present an effective scheme that combines temperature-induced anharmonic phonon renormalization and four-phonon scattering to resolve these two theoretical challenges. Here, we apply this scheme to investigate the lattice dynamics and thermal transport properties of GeTe, which undergoes a second-order ferroelectric phase transition from rhombohedral α-GeTe to rocksalt β-GeTe at about 700 K. Our results on the high-temperature phase β-GeTe at 800 K confirm the stabilization of β-GeTe by temperature effects. We find that considering only three-phonon scattering leads to significantly overestimated κl of 3.8 W/mK at 800 K, whereas including four-phonon scattering reduces κl to 1.7 W/mK, a value comparable with experiments. To explore the possibility to further suppress κl, we show that alloying β-GeTe with heavy cations such as Pb and Bi can effectively reduce κl to about 1.0 W/mK, whereas particle size needs to be around 10 nm through nanostructuring to achieve a comparable reduction in κl.},
doi = {10.1063/1.5048814},
journal = {Applied Physics Letters},
number = 19,
volume = 113,
place = {United States},
year = {Mon Nov 05 00:00:00 EST 2018},
month = {Mon Nov 05 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 25 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Neutron diffraction study on the structural phase transition in GeTe
journal, April 1987

  • Chattopadhyay, T.; Boucherle, J. X.; vonSchnering, H. G.
  • Journal of Physics C: Solid State Physics, Vol. 20, Issue 10
  • DOI: 10.1088/0022-3719/20/10/012

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

Quantum mechanical prediction of four-phonon scattering rates and reduced thermal conductivity of solids
journal, January 2016


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

Isotope scattering of dispersive phonons in Ge
journal, January 1983


Soft phonon mode and ferroelectricity in GeTe
journal, August 1970


Projector augmented-wave method
journal, December 1994


Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996


Four-phonon scattering significantly reduces intrinsic thermal conductivity of solids
journal, October 2017


Origin of the High Performance in GeTe-Based Thermoelectric Materials upon Bi 2 Te 3 Doping
journal, August 2014

  • Wu, Di; Zhao, Li-Dong; Hao, Shiqiang
  • Journal of the American Chemical Society, Vol. 136, Issue 32
  • DOI: 10.1021/ja504896a

Reduction of thermal conductivity through nanostructuring enhances the thermoelectric figure of merit in Ge 1−x Bi x Te
journal, January 2016

  • Perumal, Suresh; Roychowdhury, Subhajit; Biswas, Kanishka
  • Inorganic Chemistry Frontiers, Vol. 3, Issue 1
  • DOI: 10.1039/C5QI00230C

Grüneisen parameters and thermal conductivity in the phase change compound GeTe
journal, August 2017

  • Bosoni, Emanuele; Sosso, Gabriele Cesare; Bernasconi, Marco
  • Journal of Computational Electronics, Vol. 16, Issue 4
  • DOI: 10.1007/s10825-017-1040-5

Revisiting PbTe to identify how thermal conductivity is really limited
journal, May 2018


Low-Symmetry Rhombohedral GeTe Thermoelectrics
journal, May 2018


Resonant bonding leads to low lattice thermal conductivity
journal, April 2014

  • Lee, Sangyeop; Esfarjani, Keivan; Luo, Tengfei
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4525

Low Thermal Conductivity and High Thermoelectric Performance in Sb and Bi Codoped GeTe: Complementary Effect of Band Convergence and Nanostructuring
journal, November 2017


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


Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


Scattering of phonons by vacancies
journal, November 1987

  • Ratsifaritana, C. A.; Klemens, P. G.
  • International Journal of Thermophysics, Vol. 8, Issue 6
  • DOI: 10.1007/BF00500791

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


Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium
journal, May 1994


Anharmonic, dimensionality and size effects in phonon transport
journal, November 2017

  • Thomas, Iorwerth O.; Srivastava, G. P.
  • Journal of Physics: Condensed Matter, Vol. 29, Issue 50
  • DOI: 10.1088/1361-648X/aa995e

Inhomogeneous Electron Gas
journal, November 1964


Anomalous thermal conductivity and suppression of negative thermal expansion in ScF 3
journal, July 2016


Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces
journal, April 2008


Electronic origin of the high thermoelectric performance of GeTe among the p-type group IV monotellurides
journal, March 2017

  • Li, Juan; Chen, Zhiwei; Zhang, Xinyue
  • NPG Asia Materials, Vol. 9, Issue 3
  • DOI: 10.1038/am.2017.8

Ab initiomolecular dynamics for liquid metals
journal, January 1993


Self-compensation induced vacancies for significant phonon scattering in InSb
journal, June 2018


Realizing zT of 2.3 in Ge 1− x y Sb x In y Te via Reducing the Phase-Transition Temperature and Introducing Resonant Energy Doping
journal, January 2018


High thermoelectric potential of Bi 2 Te 3 alloyed GeTe-rich phases
journal, July 2016

  • Madar, Naor; Givon, Tom; Mogilyansky, Dmitry
  • Journal of Applied Physics, Vol. 120, Issue 3
  • DOI: 10.1063/1.4958973

First-principles calculation of lattice thermal conductivity in crystalline phase change materials: GeTe, Sb 2 Te 3 , and Ge 2 Sb 2 Te 5
journal, January 2017


Realizing the High Thermoelectric Performance of GeTe by Sb-Doping and Se-Alloying
journal, December 2016


Ultralow thermal conductivity and high thermoelectric figure of merit in SnSe crystals
journal, April 2014

  • Zhao, Li-Dong; Lo, Shih-Han; Zhang, Yongsheng
  • Nature, Vol. 508, Issue 7496, p. 373-377
  • DOI: 10.1038/nature13184

An iterative approach to the phonon Boltzmann equation in the theory of thermal conductivity
journal, July 1995


Copper ion liquid-like thermoelectrics
journal, March 2012

  • Liu, Huili; Shi, Xun; Xu, Fangfang
  • Nature Materials, Vol. 11, Issue 5, p. 422-425
  • DOI: 10.1038/nmat3273

Electronic and thermal transport in GeTe: A versatile base for thermoelectric materials
journal, August 2013

  • Levin, E. M.; Besser, M. F.; Hanus, R.
  • Journal of Applied Physics, Vol. 114, Issue 8
  • DOI: 10.1063/1.4819222

Soft-phonon mediated structural phase transition in GeTe
journal, June 2014


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


High performance thermoelectric materials and devices based on GeTe
journal, January 2016

  • Perumal, Suresh; Roychowdhury, Subhajit; Biswas, Kanishka
  • Journal of Materials Chemistry C, Vol. 4, Issue 32
  • DOI: 10.1039/C6TC02501C

Nanostructure thermal conductivity prediction by Monte Carlo sampling of phonon free paths
journal, February 2012

  • McGaughey, Alan J. H.; Jain, Ankit
  • Applied Physics Letters, Vol. 100, Issue 6
  • DOI: 10.1063/1.3683539

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


High-resolution X-ray luminescence extension imaging
journal, February 2021


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


Nanostructure thermal conductivity prediction by Monte Carlo sampling of phonon free paths
text, January 2012


Nanostructure thermal conductivity prediction by Monte Carlo sampling of phonon free paths
text, January 2012


Temperature dependent effective potential method for accurate free energy calculations of solids
text, January 2013


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


Works referencing / citing this record:

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