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Perspective: Explicitly correlated electronic structure theory for complex systems.

Andreas Grüneis1, So Hirata2, Yu-Ya Ohnishi3

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Explicitly correlated electronic structure theory offers accurate electron correlation descriptions. Recent advances in stochastic and deterministic methods promise applications to complex systems like semiconductors.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Electronic Structure Theory

Background:

  • The explicitly correlated approach is a key breakthrough in ab initio electronic structure theory.
  • It provides an accurate and efficient method for describing electron correlation.
  • Early work by Hylleraas in 1929 laid the foundation for this field.

Purpose of the Study:

  • To survey the advancements in explicitly correlated electronic structure theory.
  • To highlight recent stochastic and deterministic approaches.
  • To discuss the potential for applications to large and complex systems.

Main Methods:

  • Development of practical explicitly correlated methods for larger systems.
  • Identification of suitable correlated wave function forms.
  • Efficient evaluation of many-electron integrals.
  • Evolution from R12 theory to F12 theory.

Main Results:

  • Explicitly correlated methods have become more practical and applicable to larger systems.
  • Recent progress has significantly extended the application range of the theory.
  • Potential for accurate wave-function treatment of complex systems like photosystems and semiconductors.

Conclusions:

  • Explicitly correlated electronic structure theory is a powerful tool for understanding electron behavior.
  • Stochastic and deterministic approaches show great promise for future applications.
  • The theory is poised to impact the study of complex materials and biological systems.