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Hybrid density functional theory (DFT) calculations are made efficient for large systems using a new linear-scaling approach. This method enables accurate simulations of condensed-phase materials, overcoming previous computational cost limitations.

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Area of Science:

  • Computational Chemistry and Materials Science
  • Quantum Mechanics and Electronic Structure Theory

Background:

  • Hybrid functionals in Density Functional Theory (DFT) improve accuracy by including exact exchange (EXX), reducing self-interaction error.
  • High computational cost of EXX calculations limits hybrid DFT's application to large molecules and condensed-phase systems.
  • Existing methods struggle with the scalability needed for complex, large-scale simulations.

Purpose of the Study:

  • To develop and present a linear-scaling approach for hybrid DFT calculations.
  • To enable accurate ab initio molecular dynamics (AIMD) simulations of large condensed-phase systems.
  • To overcome the computational bottlenecks associated with exact exchange evaluation.

Main Methods:

  • Utilized a local representation of occupied orbitals, specifically maximally localized Wannier functions (MLWFs).
  • Exploited sparsity in real-space evaluation of quantum mechanical exchange interaction for finite-gap systems.
  • Integrated the MLWF-based approach into the Car-Parrinello AIMD framework, using MLWF-product potentials for EXX energy and forces.
  • Implemented an efficient algorithm in the Quantum ESPRESSO program with hybrid MPI/OpenMP parallelization for High-Performance Computing (HPC).

Main Results:

  • Demonstrated the feasibility of MLWF-based AIMD simulations for large condensed-phase systems (500-1000 atoms) at the hybrid DFT level.
  • Achieved wall time costs comparable to semilocal DFT for simulations of liquid water ((H2O)256).
  • Showcased excellent strong and weak scaling performance on modern HPC architectures.

Conclusions:

  • The developed linear-scaling MLWF approach significantly reduces the computational cost of hybrid DFT calculations.
  • This breakthrough enables routine AIMD simulations of large and complex condensed-phase systems at a high level of theory.
  • The method brings routine, long-timescale simulations of complex materials closer to reality.