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Optimized multi-site local orbitals in the large-scale DFT program CONQUEST.

Ayako Nakata1, David R Bowler2, Tsuyoshi Miyazaki3

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Numerical optimization of multi-site support functions improves accuracy in linear-scaling DFT calculations. This method enhances the efficiency of electronic structure calculations using minimal basis sets for materials and molecular systems.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Quantum Mechanics

Background:

  • Linear-scaling Density Functional Theory (DFT) methods aim to reduce computational cost for large systems.
  • Multi-site support functions offer a way to achieve accurate electronic structure calculations with minimal basis sets.
  • The Local Filter Diagonalization (LFD) method is used to determine coefficients for these support functions.

Purpose of the Study:

  • To introduce and analyze the numerical optimization of multi-site support functions.
  • To assess the impact of optimizing LFD-generated coefficients on accuracy and efficiency.
  • To ensure variational energy minimization in DFT calculations employing these functions.

Main Methods:

  • Implementation of numerical optimization for multi-site support functions within the CONQUEST DFT code.
  • Utilizing the Local Filter Diagonalization (LFD) method to generate initial coefficients.
  • Testing the optimized functions on crystalline silicon, benzene, and hydrated DNA systems.

Main Results:

  • Numerical optimization enhances the accuracy of multi-site support functions, especially with smaller cutoff radii.
  • The optimization process guarantees variational energy minimization.
  • Demonstrated improved accuracy for diverse systems including solids, molecules, and biomolecular complexes.

Conclusions:

  • Numerical optimization is a crucial step for refining multi-site support functions in linear-scaling DFT.
  • This approach leads to more accurate and efficient electronic structure calculations.
  • The method is validated across various chemical and material systems.