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Title: Quasiparticle and hybrid density functional methods in defect studies: An application to the nitrogen vacancy in GaN

Abstract

Defects in semiconductors can play a vital role in the performance of electronic devices, with native defects often dominating the electronic properties of the semiconductor. Understanding the relationship between structural defects and electronic function will be central to the design of new high-performance materials. In particular, it is necessary to quantitatively understand the energy and lifetime of electronic states associated with the defect. In this work, we apply first-principles density functional theory (DFT) and many-body perturbation theory within the GW approximation to understand the nature and energy of the defect states associated with a charged nitrogen vacancy on the electronic properties of gallium nitride (GaN), as a model of a well-studied and important wide gap semiconductor grown with defects. We systematically investigate the sources of error associated with the GW approximation and the role of the underlying atomic structure on the predicted defect state energies. Additionally, analysis of the computed electronic density of states (DOS) reveals that there is one occupied defect state 0.2 eV below the valence band maximum and three unoccupied defect states at energy of 0.2–0.4 eV above the conduction band minimum, suggesting that this defect in the +1 charge state will not behave as a carriermore » trap. Furthermore, we compare the character and energy of the defect state obtained from GW and DFT using the HSE approximate density functional and find excellent agreement. This systematic study provides a more complete understanding of how to obtain quantitative defect energy states in bulk semiconductors.« less

Authors:
 [1];  [1];  [2];  [3]
  1. Boston Univ., MA (United States). Dept. of Electrical and Computer Engineering
  2. Boston Univ., MA (United States). Dept. of Electrical and Computer Engineering and Dept. of Materials Science and Engineering
  3. Boston Univ., MA (United States). Dept. of Electrical and Computer Engineering, Dept. of Materials Science and Engineering and Dept. of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC); US Army Research Laboratory (USARL); National Science Foundation (NSF)
OSTI Identifier:
1544347
Alternate Identifier(s):
OSTI ID: 1413819
Grant/Contract Number:  
AC02-05CH11231; W911NF-12–2-0023; ACI-1548562
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 23; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Lewis, D. K., Matsubara, M., Bellotti, E., and Sharifzadeh, S. Quasiparticle and hybrid density functional methods in defect studies: An application to the nitrogen vacancy in GaN. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.235203.
Lewis, D. K., Matsubara, M., Bellotti, E., & Sharifzadeh, S. Quasiparticle and hybrid density functional methods in defect studies: An application to the nitrogen vacancy in GaN. United States. https://doi.org/10.1103/PhysRevB.96.235203
Lewis, D. K., Matsubara, M., Bellotti, E., and Sharifzadeh, S. Mon . "Quasiparticle and hybrid density functional methods in defect studies: An application to the nitrogen vacancy in GaN". United States. https://doi.org/10.1103/PhysRevB.96.235203. https://www.osti.gov/servlets/purl/1544347.
@article{osti_1544347,
title = {Quasiparticle and hybrid density functional methods in defect studies: An application to the nitrogen vacancy in GaN},
author = {Lewis, D. K. and Matsubara, M. and Bellotti, E. and Sharifzadeh, S.},
abstractNote = {Defects in semiconductors can play a vital role in the performance of electronic devices, with native defects often dominating the electronic properties of the semiconductor. Understanding the relationship between structural defects and electronic function will be central to the design of new high-performance materials. In particular, it is necessary to quantitatively understand the energy and lifetime of electronic states associated with the defect. In this work, we apply first-principles density functional theory (DFT) and many-body perturbation theory within the GW approximation to understand the nature and energy of the defect states associated with a charged nitrogen vacancy on the electronic properties of gallium nitride (GaN), as a model of a well-studied and important wide gap semiconductor grown with defects. We systematically investigate the sources of error associated with the GW approximation and the role of the underlying atomic structure on the predicted defect state energies. Additionally, analysis of the computed electronic density of states (DOS) reveals that there is one occupied defect state 0.2 eV below the valence band maximum and three unoccupied defect states at energy of 0.2–0.4 eV above the conduction band minimum, suggesting that this defect in the +1 charge state will not behave as a carrier trap. Furthermore, we compare the character and energy of the defect state obtained from GW and DFT using the HSE approximate density functional and find excellent agreement. This systematic study provides a more complete understanding of how to obtain quantitative defect energy states in bulk semiconductors.},
doi = {10.1103/PhysRevB.96.235203},
journal = {Physical Review B},
number = 23,
volume = 96,
place = {United States},
year = {Mon Dec 18 00:00:00 EST 2017},
month = {Mon Dec 18 00:00:00 EST 2017}
}

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Cited by: 11 works
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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

Unraveling the Jahn-Teller effect in Mn-doped GaN using the Heyd-Scuseria-Ernzerhof hybrid functional
journal, May 2009


Insights and challenges of applying the GW method to transition metal oxides
journal, October 2014


Methodological aspects of the GW calculation of the carbon vacancy in 3C-SiC
journal, April 2012

  • Bruneval, Fabien
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 277
  • DOI: 10.1016/j.nimb.2011.12.052

Ab initio study of oxygen point defects in GaAs, GaN, and AlN
journal, December 1996


Coulomb-hole summations and energies for G W calculations with limited number of empty orbitals: A modified static remainder approach
journal, April 2013


Native defects in Al2O3 and their impact on III-V/Al2O3 metal-oxide-semiconductor-based devices
journal, February 2011

  • Weber, J. R.; Janotti, A.; Van de Walle, C. G.
  • Journal of Applied Physics, Vol. 109, Issue 3
  • DOI: 10.1063/1.3544310

Dopant and defect energetics: Si in GaAs
journal, March 1993


Projector augmented-wave method
journal, December 1994


Hybrid functionals based on a screened Coulomb potential
journal, May 2003

  • Heyd, Jochen; Scuseria, Gustavo E.; Ernzerhof, Matthias
  • The Journal of Chemical Physics, Vol. 118, Issue 18
  • DOI: 10.1063/1.1564060

Screened hybrid density functionals applied to solids
journal, April 2006

  • Paier, J.; Marsman, M.; Hummer, K.
  • The Journal of Chemical Physics, Vol. 124, Issue 15
  • DOI: 10.1063/1.2187006

Energy band gaps and lattice parameters evaluated with the Heyd-Scuseria-Ernzerhof screened hybrid functional
journal, November 2005

  • Heyd, Jochen; Peralta, Juan E.; Scuseria, Gustavo E.
  • The Journal of Chemical Physics, Vol. 123, Issue 17
  • DOI: 10.1063/1.2085170

Electrostatic interactions between charged defects in supercells
journal, December 2010

  • Freysoldt, Christoph; Neugebauer, Jörg; Van de Walle, Chris G.
  • physica status solidi (b), Vol. 248, Issue 5
  • DOI: 10.1002/pssb.201046289

BerkeleyGW: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures
journal, June 2012

  • Deslippe, Jack; Samsonidze, Georgy; Strubbe, David A.
  • Computer Physics Communications, Vol. 183, Issue 6
  • DOI: 10.1016/j.cpc.2011.12.006

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

Understanding defects in semiconductors as key to advancing device technology
journal, December 2003


Theory of hydrogen diffusion and reactions in crystalline silicon
journal, May 1989

  • Van de Walle, Chris G.; Denteneer, P. J. H.; Bar-Yam, Y.
  • Physical Review B, Vol. 39, Issue 15
  • DOI: 10.1103/PhysRevB.39.10791

Fully Ab Initio Finite-Size Corrections for Charged-Defect Supercell Calculations
journal, January 2009


First-principles study of fully relaxed vacancies in GaAs
journal, February 1992


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


Atomic geometry and electronic structure of native defects in GaN
journal, September 1994


Accuracy of G W for calculating defect energy levels in solids
journal, July 2017


Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies
journal, October 1986


Accurate prediction of defect properties in density functional supercell calculations
journal, November 2009


Modeling charged defects inside density functional theory band gaps
journal, May 2014

  • Schultz, Peter A.; Edwards, Arthur H.
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 327
  • DOI: 10.1016/j.nimb.2013.09.046

Density functional theory and the band gap problem
journal, March 1985

  • Perdew, John P.
  • International Journal of Quantum Chemistry, Vol. 28, Issue S19
  • DOI: 10.1002/qua.560280846

Energetics of the As vacancy in GaAs: The stability of the 3+ charge state
journal, August 1994


Theory of Carriers Transport in III-Nitride Materials: State of the Art and Future Outlook
journal, October 2013

  • Bellotti, Enrico; Bertazzi, Francesco; Shishehchi, Sara
  • IEEE Transactions on Electron Devices, Vol. 60, Issue 10
  • DOI: 10.1109/TED.2013.2266577

Computationally predicted energies and properties of defects in GaN
journal, March 2017


First-Principles Theory of Quasiparticles: Calculation of Band Gaps in Semiconductors and Insulators
journal, September 1985


First-principles determination of defect energy levels through hybrid density functionals and GW
journal, March 2015


Assessment of correction methods for the band-gap problem and for finite-size effects in supercell defect calculations: Case studies for ZnO and GaAs
journal, December 2008


XSEDE: Accelerating Scientific Discovery
journal, September 2014

  • Towns, John; Cockerill, Timothy; Dahan, Maytal
  • Computing in Science & Engineering, Vol. 16, Issue 5
  • DOI: 10.1109/MCSE.2014.80

Charged Oxygen Defects in SiO 2 : Going beyond Local and Semilocal Approximations to Density Functional Theory
journal, February 2010


The electronic structure of impurities and other point defects in semiconductors
journal, October 1978


Role of nitrogen vacancies in the luminescence of Mg-doped GaN
journal, April 2012

  • Yan, Qimin; Janotti, Anderson; Scheffler, Matthias
  • Applied Physics Letters, Vol. 100, Issue 14
  • DOI: 10.1063/1.3699009

Green luminescence in Mg-doped GaN
journal, July 2014


A hybrid density functional study of lithium in ZnO: Stability, ionization levels, and diffusion
journal, November 2009


Fundamental energy gap of GaN from photoluminescence excitation spectra
journal, July 1974


Properties of the yellow luminescence in undoped GaN epitaxial layers
journal, December 1995


First-principles calculations of self-interstitial defect structures and diffusion paths in silicon
journal, December 1999


Oxygen and dioxygen centers in Si and Ge: Density-functional calculations
journal, October 2000


Migration mechanisms and diffusion barriers of carbon and native point defects in GaN
journal, June 2016


Efficient pseudopotentials for plane-wave calculations
journal, January 1991


Diffusivity of native defects in GaN
journal, January 2004


First-principles calculation of band offsets, optical bowings, and defects in CdS, CdSe, CdTe, and their alloys
journal, February 2000

  • Wei, Su-Huai; Zhang, S. B.; Zunger, Alex
  • Journal of Applied Physics, Vol. 87, Issue 3
  • DOI: 10.1063/1.372014

The Theory of Electronic Semi-Conductors. II
journal, November 1931

  • Wilson, A. H.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 134, Issue 823
  • DOI: 10.1098/rspa.1931.0196

New Perspective on Formation Energies and Energy Levels of Point Defects in Nonmetals
journal, February 2012


Charged point defects in semiconductors
journal, December 2006

  • Seebauer, Edmund G.; Kratzer, Meredith C.
  • Materials Science and Engineering: R: Reports, Vol. 55, Issue 3-6
  • DOI: 10.1016/j.mser.2006.01.002

First-principles calculations for defects and impurities: Applications to III-nitrides
journal, April 2004

  • Van de Walle, Chris G.; Neugebauer, Jörg
  • Journal of Applied Physics, Vol. 95, Issue 8
  • DOI: 10.1063/1.1682673

Neutral‐donor‐bound exciton recombination dynamics in GaN grown by metalorganic chemical vapor deposition
journal, September 1995

  • Chen, G. D.; Smith, M.; Lin, J. Y.
  • Applied Physics Letters, Vol. 67, Issue 12
  • DOI: 10.1063/1.115046

Band-edge problem in the theoretical determination of defect energy levels: The O vacancy in ZnO as a benchmark case
journal, September 2011


Native Point Defects in GaN: A Hybrid-Functional Study
journal, December 2016


Self-compensation due to point defects in Mg-doped GaN
journal, April 2016


A first-principles study of carbon-related energy levels in GaN. II. Complexes formed by carbon and hydrogen, silicon or oxygen
journal, May 2017

  • Matsubara, Masahiko; Bellotti, Enrico
  • Journal of Applied Physics, Vol. 121, Issue 19
  • DOI: 10.1063/1.4983453

The energy and elastic dipole tensor of defects in ionic crystals calculated by the supercell method
journal, February 1985


Theory of the Atomic and Electronic Structure of DX Centers in GaAs and Al x Ga 1 x As Alloys
journal, August 1988


Shallow versus Deep Nature of Mg Acceptors in Nitride Semiconductors
journal, April 2012


Energetics and metastability of the silicon vacancy in cubic SiC
journal, April 2011


Quasiparticle Corrections to the Electronic Properties of Anion Vacancies at GaAs(110) and InP(110)
journal, November 2006


Intrinsic defects in ZnO calculated by screened exchange and hybrid density functionals
journal, March 2010


Yellow Luminescence of Gallium Nitride Generated by Carbon Defect Complexes
journal, February 2013


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


Chemical potential dependence of defect formation energies in GaAs: Application to Ga self-diffusion
journal, October 1991


Carbon impurities and the yellow luminescence in GaN
journal, October 2010

  • Lyons, J. L.; Janotti, A.; Van de Walle, C. G.
  • Applied Physics Letters, Vol. 97, Issue 15
  • DOI: 10.1063/1.3492841

Defect-Related Donors, Acceptors, and Traps in GaN
journal, November 2001


Periodic boundary conditions in ab initio calculations. II. Brillouin-zone sampling for aperiodic systems
journal, June 1996


Defect levels through hybrid density functionals: Insights and applications
journal, March 2011

  • Alkauskas, Audrius; Broqvist, Peter; Pasquarello, Alfredo
  • physica status solidi (b), Vol. 248, Issue 4
  • DOI: 10.1002/pssb.201046195

Interactions of hydrogen with native defects in GaN
journal, October 1997


Luminescence properties of defects in GaN
journal, March 2005

  • Reshchikov, Michael A.; Morkoç, Hadis
  • Journal of Applied Physics, Vol. 97, Issue 6
  • DOI: 10.1063/1.1868059

Ground State of the Electron Gas by a Stochastic Method
journal, August 1980


Nitrogen Vacancies as Major Point Defects in Gallium Nitride
journal, May 2006


Deep versus Shallow Behavior of Intrinsic Defects in Rutile and Anatase TiO 2 Polymorphs
journal, November 2010

  • Mattioli, Giuseppe; Alippi, Paola; Filippone, Francesco
  • The Journal of Physical Chemistry C, Vol. 114, Issue 49
  • DOI: 10.1021/jp1041316

Elastic constants of gallium nitride
journal, March 1996

  • Polian, A.; Grimsditch, M.; Grzegory, I.
  • Journal of Applied Physics, Vol. 79, Issue 6
  • DOI: 10.1063/1.361236

Electron removal energies in Kohn-Sham density-functional theory
journal, November 1982


Major deep levels with the same microstructures observed in n-type 4H–SiC and 6H–SiC
journal, January 2011

  • Sasaki, S.; Kawahara, K.; Feng, G.
  • Journal of Applied Physics, Vol. 109, Issue 1
  • DOI: 10.1063/1.3528124

First-principles DFT + G W study of oxygen vacancies in rutile TiO 2
journal, February 2014


Analysis of the Heyd-Scuseria-Ernzerhof density functional parameter space
journal, May 2012

  • Moussa, Jonathan E.; Schultz, Peter A.; Chelikowsky, James R.
  • The Journal of Chemical Physics, Vol. 136, Issue 20
  • DOI: 10.1063/1.4722993

Quantitative molecular orbital energies within a G0W0 approximation
journal, September 2012


Isolated arsenic-antisite defect in GaAs and the properties of EL 2
journal, November 1989


Quasiparticle Excitations and Charge Transition Levels of Oxygen Vacancies in Hafnia
journal, November 2011


Correspondence of defect energy levels in hybrid density functional theory and many-body perturbation theory
journal, September 2013


A Fourfold Coordinated Point Defect in Silicon
journal, May 2002