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Area of Science:

  • Computational Physics
  • Quantum Chemistry
  • Materials Science

Background:

  • Kohn-Sham density functional theory (DFT) is essential for electronic structure calculations.
  • Combining DFT with wave function methods introduces singularities in periodic systems.
  • These singularities arise from the long-range Coulomb potential and affect accuracy and efficiency.

Purpose of the Study:

  • To address and resolve the 1/r singularity problem in plane-wave calculations for periodic systems.
  • To enhance the accuracy and efficiency of computational methods like hybrid functionals, RPA, GW, and TDDFT.
  • To pioneer the implementation and investigation of Wigner-Seitz truncation for plane-wave-based RPA and GW calculations.

Main Methods:

  • Comparison of various singularity handling approaches: spherical truncation, Wigner-Seitz truncation, screened Coulomb potentials, auxiliary functions, and probe charge method.
  • Implementation and systematic investigation of the Wigner-Seitz truncation scheme in plane-wave-based RPA and GW calculations.
  • Analysis of convergence and accuracy using supercell expansion and k-point sampling.

Main Results:

  • Demonstrated the effectiveness of Wigner-Seitz truncation in mitigating singularities for RPA and GW calculations.
  • Provided a systematic analysis of convergence properties and accuracy of different truncation schemes.
  • Identified optimal correction strategies for various systems and computational methods.

Conclusions:

  • The Wigner-Seitz truncation scheme is a viable and effective method for handling singularities in periodic plane-wave calculations.
  • The study offers valuable guidance for selecting appropriate singularity correction strategies.
  • Findings pave the way for more accurate and efficient electronic structure calculations in condensed matter physics and quantum chemistry.