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

Title: Theoretical study of intrinsic defects in cubic silicon carbide 3C-SiC

Abstract

Using the local moment counter charge (LMCC) method to accurately represent the asymptotic electrostatic boundary conditions within density functional theory supercell calculations, we present a comprehensive analysis of the atomic structure and energy levels of point defects in cubic silicon carbide (3C-SiC). Finding that the classical long-range dielectric screening outside the supercell induced by a charged defect is a significant contributor to the total energy. we describe and validate a modified Jost screening model to evaluate this polarization energy. This leads to bulk-converged defect levels in finite size supercells. With the LMCC boundary conditions and a standard Perdew-Burke-Ernzerhof (PBE) exchange correlation functional, the computed defect level spectrum exhibits no band gap problem: the range of defect levels spans ~2.4 eV, an effective defect band gap that agrees with the experimental band gap. Comparing with previous literature, our LMCC-PBE defect results are in consistent agreement with the hybrid-exchange functional results of Oda et al. [J. Chem. Phys. 139, 124707 (2013)] rather than their PBE results. The difference with their PBE results is attributed to their use of a conventional jellium approximation rather than the more rigorous LMCC approach for handling charged supercell boundary conditions. The difference between standard dft and hybridmore » functional results for defect levels lies not in a band gap problem but rather in solving a boundary condition problem. The LMCC-PBE entirely mitigates the effect of the band gap problem on defect levels. The more computationally economical PBE enables a systematic exploration of 3C-SiC defects, where, most notably, we find that the silicon vacancy undergoes Jahn-Teller-induced distortions from the previously assumed Td symmetry, and that the divacancy, like the silicon vacancy, exhibits a site-shift bistability in p -type conditions.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Air Force Research Lab. (AFRL), Kirtland AFB, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1784861
Report Number(s):
SAND-2021-6127J
Journal ID: ISSN 2469-9950; 696339; TRN: US2210235
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 103; Journal Issue: 19; 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; Defects; Wide band gap systems; Density functional theory

Citation Formats

Schultz, Peter A., Van Ginhoven, Renee M., and Edwards, Arthur H. Theoretical study of intrinsic defects in cubic silicon carbide 3C-SiC. United States: N. p., 2021. Web. doi:10.1103/physrevb.103.195202.
Schultz, Peter A., Van Ginhoven, Renee M., & Edwards, Arthur H. Theoretical study of intrinsic defects in cubic silicon carbide 3C-SiC. United States. https://doi.org/10.1103/physrevb.103.195202
Schultz, Peter A., Van Ginhoven, Renee M., and Edwards, Arthur H. Mon . "Theoretical study of intrinsic defects in cubic silicon carbide 3C-SiC". United States. https://doi.org/10.1103/physrevb.103.195202. https://www.osti.gov/servlets/purl/1784861.
@article{osti_1784861,
title = {Theoretical study of intrinsic defects in cubic silicon carbide 3C-SiC},
author = {Schultz, Peter A. and Van Ginhoven, Renee M. and Edwards, Arthur H.},
abstractNote = {Using the local moment counter charge (LMCC) method to accurately represent the asymptotic electrostatic boundary conditions within density functional theory supercell calculations, we present a comprehensive analysis of the atomic structure and energy levels of point defects in cubic silicon carbide (3C-SiC). Finding that the classical long-range dielectric screening outside the supercell induced by a charged defect is a significant contributor to the total energy. we describe and validate a modified Jost screening model to evaluate this polarization energy. This leads to bulk-converged defect levels in finite size supercells. With the LMCC boundary conditions and a standard Perdew-Burke-Ernzerhof (PBE) exchange correlation functional, the computed defect level spectrum exhibits no band gap problem: the range of defect levels spans ~2.4 eV, an effective defect band gap that agrees with the experimental band gap. Comparing with previous literature, our LMCC-PBE defect results are in consistent agreement with the hybrid-exchange functional results of Oda et al. [J. Chem. Phys. 139, 124707 (2013)] rather than their PBE results. The difference with their PBE results is attributed to their use of a conventional jellium approximation rather than the more rigorous LMCC approach for handling charged supercell boundary conditions. The difference between standard dft and hybrid functional results for defect levels lies not in a band gap problem but rather in solving a boundary condition problem. The LMCC-PBE entirely mitigates the effect of the band gap problem on defect levels. The more computationally economical PBE enables a systematic exploration of 3C-SiC defects, where, most notably, we find that the silicon vacancy undergoes Jahn-Teller-induced distortions from the previously assumed Td symmetry, and that the divacancy, like the silicon vacancy, exhibits a site-shift bistability in p -type conditions.},
doi = {10.1103/physrevb.103.195202},
journal = {Physical Review B},
number = 19,
volume = 103,
place = {United States},
year = {Mon May 17 00:00:00 EDT 2021},
month = {Mon May 17 00:00:00 EDT 2021}
}

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

Diffusion and Electrolytic Conduction in Crystals (Ionic Semiconductors)
journal, July 1933


THE FREE ENERGY OF SiC FROM ITS SOLUBILITY IN Fe AND FROM GAS—SOLID EQUILIBRIA WITH SiO 2 , GRAPHITE, AND CO
journal, April 1963

  • Rein, Richard H.; Chipman, John
  • The Journal of Physical Chemistry, Vol. 67, Issue 4
  • DOI: 10.1021/j100798a029

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

Vacancies in SiC: Influence of Jahn-Teller distortions, spin effects, and crystal structure
journal, June 1999


Antisites in silicon carbide
journal, March 1998


Local electrostatic moments and periodic boundary conditions
journal, July 1999


Optically detected magnetic resonance studies of defects in electron-irradiated 3C SiC layers
journal, February 1997


Elastic properties of β-SiC films by Brillouin light scattering
journal, March 2004

  • Djemia, Philippe; Roussigné, Yves; Dirras, Guy F.
  • Journal of Applied Physics, Vol. 95, Issue 5
  • DOI: 10.1063/1.1642281

Spin state of vacancies: From magnetic Jahn-Teller distortions to multiplets
journal, September 2000


Detailed band structure for 3 C -, 2 H -, 4 H -, 6 H -SiC, and Si around the fundamental band gap
journal, October 1996


The E 1– E 2 center in gallium arsenide is the divacancy
journal, January 2015


Self-interstitials in 3C-SiC
journal, February 2004


Silicon vacancy in SiC: A high-spin state defect
journal, January 1999

  • Torpo, L.; Nieminen, R. M.; Laasonen, K. E.
  • Applied Physics Letters, Vol. 74, Issue 2
  • DOI: 10.1063/1.123299

Periodic boundary conditions in ab initio calculations
journal, February 1995


Defects as qubits in 3 C and 4 H SiC
journal, July 2015


Phonon Dispersion Curves by Raman Scattering in SiC, Polytypes 3 C , 4 H , 6 H , 1 5 R , and 2 1 R
journal, September 1968


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

Study of intrinsic defects in 3C-SiC using first-principles calculation with a hybrid functional
journal, September 2013

  • Oda, Takuji; Zhang, Yanwen; Weber, William J.
  • The Journal of Chemical Physics, Vol. 139, Issue 12
  • DOI: 10.1063/1.4821937

Static Dielectric Constant of SiC
journal, September 1970


Stability and mobility of screw dislocations in 4H, 2H and 3C silicon carbide
journal, October 2014


Relativistic band structure calculation of cubic and hexagonal SiC polytypes
journal, December 1997

  • Persson, C.; Lindefelt, U.
  • Journal of Applied Physics, Vol. 82, Issue 11
  • DOI: 10.1063/1.365578

First-principles study of neutral silicon interstitials in 3C- and 4H-SiC
journal, September 2009


Formation energies, abundances, and the electronic structure of native defects in cubic SiC
journal, December 1988


Simple intrinsic defects in gallium arsenide
journal, November 2009

  • Schultz, Peter A.; von Lilienfeld, O. Anatole
  • Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 8
  • DOI: 10.1088/0965-0393/17/8/084007

Structural and electronic properties of cubic, 2 H , 4 H , and 6 H SiC
journal, February 1994


Ab initio study of the migration of intrinsic defects in 3 C SiC
journal, November 2003


Native defects and complexes in SiC
journal, September 2001


Developing silicon carbide for quantum spintronics
journal, May 2020

  • Son, Nguyen T.; Anderson, Christopher P.; Bourassa, Alexandre
  • Applied Physics Letters, Vol. 116, Issue 19
  • DOI: 10.1063/5.0004454

The effect of the atomic relaxation around defects on the electronic structure and optical properties of β-SiC
journal, January 1999


Thermodynamic and kinetic properties of intrinsic defects and Mg transmutants in 3C–SiC determined by density functional theory
journal, May 2014


EPR identification of intrinsic defects in SiC
journal, July 2008


Ab initio calculation of structural and lattice-dynamical properties of silicon carbide
journal, December 1994


Wavelength modulated absorption in SiC
journal, July 1981


Negative-U Properties for Point Defects in Silicon
journal, March 1980


Cubic silicon carbide as a potential photovoltaic material
journal, February 2016


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


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


Carbon vacancy in SiC: A negative- U system
journal, November 1998


Status of silicon carbide (SiC) as a wide-bandgap semiconductor for high-temperature applications: A review
journal, October 1996


Theoretical study of helium insertion and diffusion in 3C-SiC
journal, January 2006

  • Van Ginhoven, Renée M.; Chartier, Alain; Meis, Constantin
  • Journal of Nuclear Materials, Vol. 348, Issue 1-2
  • DOI: 10.1016/j.jnucmat.2005.09.006

Thermal expansion of the cubic (3C) polytype of SiC
journal, December 1986

  • Li, Z.; Bradt, R. C.
  • Journal of Materials Science, Vol. 21, Issue 12
  • DOI: 10.1007/BF01106557

Charged Local Defects in Extended Systems
journal, February 2000


Importance of elastic finite-size effects: Neutral defects in ionic compounds
journal, September 2017


Signature of intrinsic defects in SiC: Ab initio calculations of hyperfine tensors
journal, May 2003


Intrinsic Defects in Cubic Silicon Carbide
journal, July 1997


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


Optimization of a hybrid exchange–correlation functional for silicon carbides
journal, July 2013


Divacancy in 3 C and 4 H SiC : An extremely stable defect
journal, January 2002


Off-center Tl and Na dopant centers in CsI
journal, November 2013


Defects in Cubic SiC on Si
journal, January 1990

  • Nagesh, V.; Farmer, J. W.; Davis, R. F.
  • Radiation Effects and Defects in Solids, Vol. 112, Issue 3
  • DOI: 10.1080/10420159008213033

Characterization of a silicon-related defect detected by its excited triplet state in electron-irradiated 3C-SiC
journal, February 2011


The spin state of the neutral silicon vacancy in 3C–SiC
journal, October 1999

  • Deák, P.; Miró, J.; Gali, A.
  • Applied Physics Letters, Vol. 75, Issue 14
  • DOI: 10.1063/1.124930