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Parquet theory for molecular systems: Formalism and static kernel parquet approximation.

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The parquet formalism offers a robust alternative to GW approximation for predicting electronic properties. This method treats all scattering channels equally, potentially improving accuracy beyond standard GW calculations for molecular systems.

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Area of Science:

  • * Electronic structure theory
  • * Quantum chemistry
  • * Computational physics

Background:

  • * The GW approximation is widely used for quasiparticle properties due to its accuracy-cost balance.
  • * Its accuracy relies on a cancellation of vertex corrections, which can be disrupted when extending beyond GW.
  • * Existing methods often focus on single correlation channels, limiting their scope.

Purpose of the Study:

  • * To explore the parquet formalism as a theoretical approach beyond the GW approximation.
  • * To present the formal structure of parquet equations and discuss necessary approximations.
  • * To assess the accuracy of the parquet approach for molecular systems.

Main Methods:

  • * Development and presentation of the formal structure of parquet equations.
  • * Coupling of the one-body Green's function, self-energy, and two-body vertex.
  • * Implementation and accuracy assessment for principal ionization potentials of small molecules.

Main Results:

  • * The parquet formalism treats all two-body scattering channels (electron-hole, particle-particle) simultaneously.
  • * Formal structure of the coupled parquet equations is derived.
  • * Initial assessment of accuracy for ionization potentials is outlined.

Conclusions:

  • * The parquet formalism provides a theoretically rigorous route beyond GW approximation.
  • * It offers a balanced treatment of all relevant correlation channels.
  • * Further investigation is warranted for its application to complex molecular systems.