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Title: Phonon transport properties of two-dimensional electride Ca2N—A first-principles study

Abstract

We investigate phonon transport in dicalcium nitride (Ca2N), an electride with two-dimensional confined electron layers, using first-principles density functional theory and the phonon Boltzmann transport equation. The in-plane (κ[100]) and out-of-plane (κ[001]) lattice thermal conductivities at 300 K are found to be 11.72 W m-1 K-1 and 2.50 W m-1 K-1, respectively. Spectral analysis of lattice thermal conductivity shows that ~85% of $$κ_{[100]}$$ and $$κ_{[001]}$$ is accumulated by phonons with frequencies less than 5.5 THz and 2.5 THz, respectively. Modal decomposition of lattice thermal conductivity further reveals that the optical phonons contribute to ~68% and ~55% of overall $$κ_{[100]}$$ and $$κ_{[001]}$$, respectively. Phonon dispersion suggests that the large optical phonon contribution is a result of low frequency optical phonons with high group velocities and the lack of phonon bandgap between the acoustic and optical phonon branches. We find that the optical phonons with frequencies below ~5.5 THz have similar three-phonon phase space and scattering rates as acoustic phonons. Comparison of the contributions from emission and absorption processes reveals that the three-phonon phase space and scattering rates of phonons—optical or acoustic—with frequencies below 5.5 THz are largely dominated by absorption processes. We conclude that the large contribution to lattice thermal conductivity by optical phonons is due to the presence of multiple low frequency optical phonon modes with high group velocities and similar phase space and scattering rates as the acoustic phonons. This study provides the frequency and temperature dependent lattice thermal conductivity and insights into phonon transport in Ca2N, both of which have important implications for the development of Ca2N based devices.

Authors:
 [1];  [1];  [2]; ORCiD logo [1];  [1]
  1. Georgia Inst. of Technology, Atlanta, GA (United States). G.W. Woodruff School of Mechanical Engineering
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Science (CNMS)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1543886
Alternate Identifier(s):
OSTI ID: 1474771
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Applied Physics Letters
Additional Journal Information:
Journal Volume: 113; Journal Issue: 13; Journal ID: ISSN 0003-6951
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Physics

Citation Formats

Barry, Matthew C., Yan, Zhequan, Yoon, Mina, Kalidindi, Surya R., and Kumar, Satish. Phonon transport properties of two-dimensional electride Ca2N—A first-principles study. United States: N. p., 2018. Web. doi:10.1063/1.5051465.
Barry, Matthew C., Yan, Zhequan, Yoon, Mina, Kalidindi, Surya R., & Kumar, Satish. Phonon transport properties of two-dimensional electride Ca2N—A first-principles study. United States. https://doi.org/10.1063/1.5051465
Barry, Matthew C., Yan, Zhequan, Yoon, Mina, Kalidindi, Surya R., and Kumar, Satish. Fri . "Phonon transport properties of two-dimensional electride Ca2N—A first-principles study". United States. https://doi.org/10.1063/1.5051465. https://www.osti.gov/servlets/purl/1543886.
@article{osti_1543886,
title = {Phonon transport properties of two-dimensional electride Ca2N—A first-principles study},
author = {Barry, Matthew C. and Yan, Zhequan and Yoon, Mina and Kalidindi, Surya R. and Kumar, Satish},
abstractNote = {We investigate phonon transport in dicalcium nitride (Ca2N), an electride with two-dimensional confined electron layers, using first-principles density functional theory and the phonon Boltzmann transport equation. The in-plane (κ[100]) and out-of-plane (κ[001]) lattice thermal conductivities at 300 K are found to be 11.72 W m-1 K-1 and 2.50 W m-1 K-1, respectively. Spectral analysis of lattice thermal conductivity shows that ~85% of $κ_{[100]}$ and $κ_{[001]}$ is accumulated by phonons with frequencies less than 5.5 THz and 2.5 THz, respectively. Modal decomposition of lattice thermal conductivity further reveals that the optical phonons contribute to ~68% and ~55% of overall $κ_{[100]}$ and $κ_{[001]}$, respectively. Phonon dispersion suggests that the large optical phonon contribution is a result of low frequency optical phonons with high group velocities and the lack of phonon bandgap between the acoustic and optical phonon branches. We find that the optical phonons with frequencies below ~5.5 THz have similar three-phonon phase space and scattering rates as acoustic phonons. Comparison of the contributions from emission and absorption processes reveals that the three-phonon phase space and scattering rates of phonons—optical or acoustic—with frequencies below 5.5 THz are largely dominated by absorption processes. We conclude that the large contribution to lattice thermal conductivity by optical phonons is due to the presence of multiple low frequency optical phonon modes with high group velocities and similar phase space and scattering rates as the acoustic phonons. This study provides the frequency and temperature dependent lattice thermal conductivity and insights into phonon transport in Ca2N, both of which have important implications for the development of Ca2N based devices.},
doi = {10.1063/1.5051465},
journal = {Applied Physics Letters},
number = 13,
volume = 113,
place = {United States},
year = {Fri Sep 28 00:00:00 EDT 2018},
month = {Fri Sep 28 00:00:00 EDT 2018}
}

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Figures / Tables:

FIG. 1 FIG. 1: (a) The electron band structure of Ca2N along high symmetry paths in the first Brillouin zone of the conventional hexagonal unit cell. (b) The Brillouin zone of the conventional hexagonal unit cell. (c) The hexagonal unit cell structure with calcium atoms given in green, nitrogen atoms given inmore » red, and a representation of the electron layers given in blue. (d) The phonon dispersion along high symmetry points in the first Brillouin zone of the conventional hexagonal unit cell. (e) The phonon projected density of states.« less

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Works referenced in this record:

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

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

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

Measurement of the anisotropic thermal conductivity of molybdenum disulfide by the time-resolved magneto-optic Kerr effect
journal, December 2014

  • Liu, Jun; Choi, Gyung-Min; Cahill, David G.
  • Journal of Applied Physics, Vol. 116, Issue 23
  • DOI: 10.1063/1.4904513

Thermal conductivity of diamond nanowires from first principles
journal, May 2012


Projector augmented-wave method
journal, December 1994


First-Principles Prediction of New Electrides with Nontrivial Band Topology Based on One-Dimensional Building Blocks
journal, January 2018


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


Three-phonon phase space and lattice thermal conductivity in semiconductors
journal, March 2008


Electron excess in alkaline earth sub-nitrides: 2D electron gas or 3D electride?
journal, January 2013

  • Walsh, Aron; Scanlon, David O.
  • Journal of Materials Chemistry C, Vol. 1, Issue 22
  • DOI: 10.1039/c3tc30690a

Thermal conductivity of skutterudite CoSb3 from first principles: Substitution and nanoengineering effects
journal, January 2015

  • Guo, Ruiqiang; Wang, Xinjiang; Huang, Baoling
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep07806

Electronic, Dielectric and Plasmonic Properties of Two-Dimensional Electride Materials X2N (X=Ca, Sr): A First-Principles Study
journal, July 2015

  • Guan, Shan; Yang, Shengyuan A.; Zhu, Liyan
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep12285

Bulk and Surface Electronic Structure of the Layered Sub-Nitrides Ca 2 N and Sr 2 N
journal, July 2000

  • Fang, C. M.; de Wijs, G. A.; de Groot, R. A.
  • Chemistry of Materials, Vol. 12, Issue 7
  • DOI: 10.1021/cm0010102

Influence of defects and doping on phonon transport properties of monolayer MoSe 2
journal, April 2018


CHEMISTRY: Electrons as Anions
journal, August 2003


Theory of thermal transport in multilayer hexagonal boron nitride and nanotubes
journal, January 2012


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


First principles phonon calculations in materials science
journal, November 2015


Electronic Structure and Chemical Bonding in Alkaline Earth Metal Subnitrides: Photoemission Studies and band Structure Calculations
journal, September 1998


Electrides: Early Examples of Quantum Confinement
journal, October 2009

  • Dye, James L.
  • Accounts of Chemical Research, Vol. 42, Issue 10
  • DOI: 10.1021/ar9000857

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


Thermal conductivity of bulk and nanowire Mg 2 Si x Sn 1 x alloys from first principles
journal, November 2012


Thermal conductivities of single- and multi-layer phosphorene: a molecular dynamics study
journal, January 2016

  • Zhang, Ying-Yan; Pei, Qing-Xiang; Jiang, Jin-Wu
  • Nanoscale, Vol. 8, Issue 1
  • DOI: 10.1039/C5NR05451F

First-Principles Prediction of Thermodynamically Stable Two-Dimensional Electrides
journal, November 2016

  • Ming, Wenmei; Yoon, Mina; Du, Mao-Hua
  • Journal of the American Chemical Society, Vol. 138, Issue 47
  • DOI: 10.1021/jacs.6b05586

Dicalcium nitride as a two-dimensional electride with an anionic electron layer
journal, January 2013

  • Lee, Kimoon; Kim, Sung Wng; Toda, Yoshitake
  • Nature, Vol. 494, Issue 7437
  • DOI: 10.1038/nature11812

High-Throughput ab Initio Screening for Two-Dimensional Electride Materials
journal, September 2014

  • Tada, Tomofumi; Takemoto, Seiji; Matsuishi, Satoru
  • Inorganic Chemistry, Vol. 53, Issue 19
  • DOI: 10.1021/ic501362b

Experimental Demonstration of an Electride as a 2D Material
journal, November 2016

  • Druffel, Daniel L.; Kuntz, Kaci L.; Woomer, Adam H.
  • Journal of the American Chemical Society, Vol. 138, Issue 49
  • DOI: 10.1021/jacs.6b10114

Scattering of Neutrons by an Anharmonic Crystal
journal, December 1962


Flexural phonons and thermal transport in multilayer graphene and graphite
journal, June 2011


High-throughput electronic band structure calculations: Challenges and tools
journal, August 2010


Obtaining Two-Dimensional Electron Gas in Free Space without Resorting to Electron Doping: An Electride Based Design
journal, September 2014

  • Zhao, Songtao; Li, Zhenyu; Yang, Jinlong
  • Journal of the American Chemical Society, Vol. 136, Issue 38
  • DOI: 10.1021/ja5065125

Temperature-Dependent Raman Studies and Thermal Conductivity of Few-Layer MoS 2
journal, April 2013

  • Sahoo, Satyaprakash; Gaur, Anand P. S.; Ahmadi, Majid
  • The Journal of Physical Chemistry C, Vol. 117, Issue 17
  • DOI: 10.1021/jp402509w

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


Experimental Demonstration of an Electride as a 2D Material
text, January 2016

  • H., Woomer, Adam; Jun, Hu,; L., Kuntz, Kaci
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/m1rk-vv13

High-throughput electronic band structure calculations: challenges and tools
text, January 2010


Temperature Dependent Raman Studies and Thermal Conductivity of Few Layer MoS2
text, January 2013


First principles phonon calculations in materials science
preprint, January 2015


Works referencing / citing this record:

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

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