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Title: Ab initio phonon point defect scattering and thermal transport in graphene

Abstract

Here, we study the scattering of phonons from point defects and their effect on lattice thermal conductivity κ using a parameter-free ab initio Green's function methodology. Specifically, we focus on the scattering of phonons by boron (B), nitrogen (N), and phosphorus substitutions as well as single- and double-carbon vacancies in graphene. We show that changes of the atomic structure and harmonic interatomic force constants locally near defects govern the strength and frequency trends of the scattering of out-of-plane acoustic (ZA) phonons, the dominant heat carriers in graphene. ZA scattering rates due to N substitutions are nearly an order of magnitude smaller than those for B defects despite having similar mass perturbations. Furthermore, ZA phonon scattering rates from N defects decrease with increasing frequency in the lower-frequency spectrum in stark contrast to expected trends from simple models. ZA phonon-vacancy scattering rates are found to have a significantly softer frequency dependence (~ω0) in graphene than typically employed in phenomenological models. The rigorous Green's function calculations demonstrate that typical mass-defect models do not adequately describe ZA phonon-defect scattering rates. Our ab initio calculations capture well the trend of κ vs vacancy density from experiments, though not the magnitudes. In conclusion, this work elucidatesmore » important insights into phonon-defect scattering and thermal transport in graphene, and demonstrates the applicability of first-principles methods toward describing these properties in imperfect materials.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science and Technology Division
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1422989
Alternate Identifier(s):
OSTI ID: 1415670
Grant/Contract Number:  
AC05-00OR22725; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 1; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Polanco, Carlos A., and Lindsay, Lucas R. Ab initio phonon point defect scattering and thermal transport in graphene. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.014303.
Polanco, Carlos A., & Lindsay, Lucas R. Ab initio phonon point defect scattering and thermal transport in graphene. United States. https://doi.org/10.1103/PhysRevB.97.014303
Polanco, Carlos A., and Lindsay, Lucas R. Thu . "Ab initio phonon point defect scattering and thermal transport in graphene". United States. https://doi.org/10.1103/PhysRevB.97.014303. https://www.osti.gov/servlets/purl/1422989.
@article{osti_1422989,
title = {Ab initio phonon point defect scattering and thermal transport in graphene},
author = {Polanco, Carlos A. and Lindsay, Lucas R.},
abstractNote = {Here, we study the scattering of phonons from point defects and their effect on lattice thermal conductivity κ using a parameter-free ab initio Green's function methodology. Specifically, we focus on the scattering of phonons by boron (B), nitrogen (N), and phosphorus substitutions as well as single- and double-carbon vacancies in graphene. We show that changes of the atomic structure and harmonic interatomic force constants locally near defects govern the strength and frequency trends of the scattering of out-of-plane acoustic (ZA) phonons, the dominant heat carriers in graphene. ZA scattering rates due to N substitutions are nearly an order of magnitude smaller than those for B defects despite having similar mass perturbations. Furthermore, ZA phonon scattering rates from N defects decrease with increasing frequency in the lower-frequency spectrum in stark contrast to expected trends from simple models. ZA phonon-vacancy scattering rates are found to have a significantly softer frequency dependence (~ω0) in graphene than typically employed in phenomenological models. The rigorous Green's function calculations demonstrate that typical mass-defect models do not adequately describe ZA phonon-defect scattering rates. Our ab initio calculations capture well the trend of κ vs vacancy density from experiments, though not the magnitudes. In conclusion, this work elucidates important insights into phonon-defect scattering and thermal transport in graphene, and demonstrates the applicability of first-principles methods toward describing these properties in imperfect materials.},
doi = {10.1103/PhysRevB.97.014303},
journal = {Physical Review B},
number = 1,
volume = 97,
place = {United States},
year = {Thu Jan 04 00:00:00 EST 2018},
month = {Thu Jan 04 00:00:00 EST 2018}
}

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Cited by: 48 works
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Works referenced in this record:

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

Phonon Dispersion in Graphite
journal, February 2004


Effects of functional group mass variance on vibrational properties and thermal transport in graphene
journal, March 2017


Light non-metallic atom (B, N, O and F)-doped graphene: a first-principles study
journal, November 2010


Quantifying Defects in Graphene via Raman Spectroscopy at Different Excitation Energies
journal, July 2011

  • Cançado, L. G.; Jorio, A.; Ferreira, E. H. Martins
  • Nano Letters, Vol. 11, Issue 8, p. 3190-3196
  • DOI: 10.1021/nl201432g

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


Phonon-isotope scattering and thermal conductivity in materials with a large isotope effect: A first-principles study
journal, October 2013


Role of light and heavy embedded nanoparticles on the thermal conductivity of SiGe alloys
journal, September 2011


Phonon dispersion of graphite by inelastic x-ray scattering
journal, July 2007


QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009

  • Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola
  • Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502
  • DOI: 10.1088/0953-8984/21/39/395502

Visualizing Individual Nitrogen Dopants in Monolayer Graphene
journal, August 2011


Thermal properties of graphene and nanostructured carbon materials
journal, August 2011

  • Balandin, Alexander A.
  • Nature Materials, Vol. 10, Issue 8, p. 569-581
  • DOI: 10.1038/nmat3064

Graphene: Status and Prospects
journal, June 2009


Influence of Polymeric Residue on the Thermal Conductivity of Suspended Bilayer Graphene
journal, March 2011

  • Pettes, Michael Thompson; Jo, Insun; Yao, Zhen
  • Nano Letters, Vol. 11, Issue 3, p. 1195-1200
  • DOI: 10.1021/nl104156y

Ab initio study of the effect of vacancies on the thermal conductivity of boron arsenide
journal, July 2016


Gas adsorption on graphene doped with B, N, Al, and S: A theoretical study
journal, December 2009

  • Dai, Jiayu; Yuan, Jianmin; Giannozzi, Paolo
  • Applied Physics Letters, Vol. 95, Issue 23
  • DOI: 10.1063/1.3272008

Thermal Transport in Suspended and Supported Monolayer Graphene Grown by Chemical Vapor Deposition
journal, May 2010

  • Cai, Weiwei; Moore, Arden L.; Zhu, Yanwu
  • Nano Letters, Vol. 10, Issue 5, p. 1645-1651
  • DOI: 10.1021/nl9041966

Thermal conductivity of isotopically modified graphene
journal, January 2012

  • Chen, Shanshan; Wu, Qingzhi; Mishra, Columbia
  • Nature Materials, Vol. 11, Issue 3
  • DOI: 10.1038/nmat3207

Synthesis, Structure, and Properties of Boron- and Nitrogen-Doped Graphene
journal, August 2009


Extremely high thermal conductivity of graphene: Prospects for thermal management applications in nanoelectronic circuits
journal, April 2008

  • Ghosh, S.; Calizo, I.; Teweldebrhan, D.
  • Applied Physics Letters, Vol. 92, Issue 15, Article No. 151911
  • DOI: 10.1063/1.2907977

Role of Surface-Segregation-Driven Intermixing on the Thermal Transport through Planar Si / Ge Superlattices
journal, September 2013


First-Principles Study of Nitrogen-, Boron-Doped Graphene and Co-Doped Graphene as the Potential Catalysts in Nonaqueous Li–O 2 Batteries
journal, March 2016

  • Jiang, H. R.; Zhao, T. S.; Shi, L.
  • The Journal of Physical Chemistry C, Vol. 120, Issue 12
  • DOI: 10.1021/acs.jpcc.6b00136

Ab initio theory of the lattice thermal conductivity in diamond
journal, September 2009


Phonon transport in nanowires coated with an amorphous material: An atomistic Green’s function approach
journal, December 2003


Thermal conductivity of suspended pristine graphene measured by Raman spectroscopy
journal, February 2011


Phonons and thermal transport in graphene and graphene-based materials
journal, January 2017


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


Structural Defects in Graphene
journal, November 2010

  • Banhart, Florian; Kotakoski, Jani; Krasheninnikov, Arkady V.
  • ACS Nano, Vol. 5, Issue 1
  • DOI: 10.1021/nn102598m

Isotope scattering of dispersive phonons in Ge
journal, January 1983


Effect of nitrogen and vacancy defects on the thermal conductivity of diamond: An ab initio Green's function approach
journal, September 2014


Quantum thermal transport in nanostructures
journal, April 2008


Ab initio study of the interactions between boron and nitrogen dopants in graphene
journal, August 2012

  • Al-Aqtash, Nabil; Al-Tarawneh, Khaldoun M.; Tawalbeh, Tarek
  • Journal of Applied Physics, Vol. 112, Issue 3
  • DOI: 10.1063/1.4742063

Thermal and thermoelectric transport measurements of an individual boron arsenide microstructure
journal, May 2016

  • Kim, Jaehyun; Evans, Daniel A.; Sellan, Daniel P.
  • Applied Physics Letters, Vol. 108, Issue 20
  • DOI: 10.1063/1.4950970

The Scattering of Low-Frequency Lattice Waves by Static Imperfections
journal, December 1955


Thermal Conductivity of Graphene in Corbino Membrane Geometry
journal, March 2010

  • Faugeras, Clement; Faugeras, Blaise; Orlita, Milan
  • ACS Nano, Vol. 4, Issue 4
  • DOI: 10.1021/nn9016229

Superior Thermal Conductivity of Single-Layer Graphene
journal, March 2008

  • Balandin, Alexander A.; Ghosh, Suchismita; Bao, Wenzhong
  • Nano Letters, Vol. 8, Issue 3, p. 902-907
  • DOI: 10.1021/nl0731872

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

Effect of grain boundaries on thermal transport in graphene
journal, January 2013

  • Serov, Andrey Y.; Ong, Zhun-Yong; Pop, Eric
  • Applied Physics Letters, Vol. 102, Issue 3
  • DOI: 10.1063/1.4776667

Cluster scattering effects on phonon conduction in graphene
journal, January 2010


Role of graphene defects in corrosion of graphene-coated Cu(111) surface
journal, March 2013

  • Wlasny, I.; Dabrowski, P.; Rogala, M.
  • Applied Physics Letters, Vol. 102, Issue 11
  • DOI: 10.1063/1.4795861

First-Principles Determination of Ultrahigh Thermal Conductivity of Boron Arsenide: A Competitor for Diamond?
journal, July 2013


Probing the Nature of Defects in Graphene by Raman Spectroscopy
journal, July 2012

  • Eckmann, Axel; Felten, Alexandre; Mishchenko, Artem
  • Nano Letters, Vol. 12, Issue 8
  • DOI: 10.1021/nl300901a

Raman Measurements of Thermal Transport in Suspended Monolayer Graphene of Variable Sizes in Vacuum and Gaseous Environments
journal, December 2010

  • Chen, Shanshan; Moore, Arden L.; Cai, Weiwei
  • ACS Nano, Vol. 5, Issue 1
  • DOI: 10.1021/nn102915x

Hydrodynamic phonon transport in suspended graphene
journal, February 2015

  • Lee, Sangyeop; Broido, David; Esfarjani, Keivan
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7290

The rise of graphene
journal, March 2007

  • Geim, A. K.; Novoselov, K. S.
  • Nature Materials, Vol. 6, Issue 3, p. 183-191
  • DOI: 10.1038/nmat1849

Experimental study of the proposed super-thermal-conductor: BAs
journal, February 2015

  • Lv, Bing; Lan, Yucheng; Wang, Xiqu
  • Applied Physics Letters, Vol. 106, Issue 7
  • DOI: 10.1063/1.4913441

Theory of the lattice thermal conductivity in bulk and films of GaN
journal, May 2010


Self-interaction correction to density-functional approximations for many-electron systems
journal, May 1981


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


Ab initio variational approach for evaluating lattice thermal conductivity
journal, July 2013


Ab initio phonon scattering by dislocations
journal, June 2017


Phonon thermal transport in strained and unstrained graphene from first principles
journal, April 2014


Phonon hydrodynamics in two-dimensional materials
journal, March 2015

  • Cepellotti, Andrea; Fugallo, Giorgia; Paulatto, Lorenzo
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7400

Flexural phonons and thermal transport in graphene
journal, September 2010


The rise of graphene
book, August 2009

  • Rodgers, Peter; Geim, A. K.; Novoselov, K. S.
  • Nanoscience and Technology: A Collection of Reviews from Nature Journals, p. 11-19
  • DOI: 10.1142/9789814287005_0002

Quantifying defects in graphene via Raman spectroscopy at different excitation energies.
text, January 2011

  • Cançado, Lg; Jorio, A.; Ferreira, EH Martins
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.33425

Ab initio theory of the lattice thermal conductivity in diamond
text, January 2009

  • Ward, Alister; Broido, David; Stewart, Derek A.
  • Universität Regensburg
  • DOI: 10.5283/epub.9466

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


Visualizing Individual Nitrogen Dopants in Monolayer Graphene
text, January 2011


Probing the Nature of Defects in Graphene by Raman Spectroscopy
text, January 2012


Phonons and Thermal Transport in Graphene and Graphene-Based Materials
text, January 2016


Works referencing / citing this record:

Delocalized Nonlinear Vibrational Modes in Graphene: Second Harmonic Generation and Negative Pressure
journal, December 2018

  • Korznikova, Elena A.; Shcherbinin, Stepan A.; Ryabov, Denis S.
  • physica status solidi (b), Vol. 256, Issue 1
  • DOI: 10.1002/pssb.201800061

First-principles Modeling of Thermal Transport in Materials: Achievements, Opportunities, and Challenges
journal, December 2019

  • Ma, Tengfei; Chakraborty, Pranay; Guo, Xixi
  • International Journal of Thermophysics, Vol. 41, Issue 1
  • DOI: 10.1007/s10765-019-2583-4

Dislocation-induced thermal transport anisotropy in single-crystal group-III nitride films
journal, December 2018


Thermal conductivity of two-dimensional BC 3 : a comparative study with two-dimensional C 3 N
journal, January 2019

  • Song, Jieren; Xu, Zhonghai; He, Xiaodong
  • Physical Chemistry Chemical Physics, Vol. 21, Issue 24
  • DOI: 10.1039/c9cp01943j

Enhanced n-doping of epitaxial graphene on SiC by bismuth
journal, July 2018

  • Hu, Tingwei; Fang, Qinglong; Zhang, Xiaohe
  • Applied Physics Letters, Vol. 113, Issue 1
  • DOI: 10.1063/1.5029541

Enhancement of thermoelectric figure-of-merit of graphene upon BN-doping and sample length reduction
journal, September 2018

  • D’Souza, Ransell; Mukherjee, Sugata
  • Journal of Applied Physics, Vol. 124, Issue 12
  • DOI: 10.1063/1.5046339

Phonon interaction with ripples and defects in thin layered molybdenum disulfide
journal, June 2019

  • Smith, Brandon; Lindsay, Lucas; Kim, Jaehyun
  • Applied Physics Letters, Vol. 114, Issue 22
  • DOI: 10.1063/1.5099103

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

Molecular Dynamics Study on the Reverse Osmosis Using Multilayer Porous Graphene Membranes
journal, October 2018

  • Zhang, Zhongqiang; Zhang, Fujian; Liu, Zhen
  • Nanomaterials, Vol. 8, Issue 10
  • DOI: 10.3390/nano8100805

Dislocation-induced thermal transport anisotropy in single-crystal group-III nitride films
text, January 2018