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Updated: Sep 10, 2025

Comprehensive Characterization of Extended Defects in Semiconductor Materials by a Scanning Electron Microscope
Published on: May 28, 2016
Aperiodic defects in periodic solids
Robert H Lavroff1, Daniel Kats2, Lorenzo Maschio3
1Department of Chemistry and Biochemistry, University of California Los Angeles, Los Angeles, California 90095, USA.
This study introduces a defectless embedding method for modeling material defects. This approach avoids artifacts from periodic supercells, enabling faster convergence to the thermodynamic limit (TDL) for accurate defect simulations.
Area of Science:
- Computational materials science
- Quantum chemistry
- Solid-state physics
Background:
- Traditional defect modeling uses periodic supercells, risking artifacts from defect image interactions.
- Charged or open-shell defects exacerbate issues, leading to slow convergence to the thermodynamic limit (TDL).
Purpose of the Study:
- To develop a novel computational method for defect modeling that overcomes limitations of periodic supercells.
- To achieve accurate and efficient simulations of defects, including charged and strongly correlated ones.
Main Methods:
- Introduced a "defectless" embedding formalism.
- Computed the embedding field in a pristine, primitive-unit-cell calculation.
- Incorporated a single, aperiodic defect within the embedded fragment, avoiding compensating background charges.
Main Results:
- Eliminated spurious artifacts and numerical issues associated with periodic defect modeling.
- Achieved very fast convergence to the thermodynamic limit (TDL).
- Enabled straightforward application of post-Hartree-Fock methods for complex defect studies.
Conclusions:
- The defectless embedding formalism provides a superior approach for accurate defect modeling.
- This method is particularly advantageous for charged, open-shell, and strongly correlated defects.
- It offers a robust framework for studying localized excited states and other challenging problems in materials science.
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