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Yiheng Qiu1, Thomas M Henderson1, Jinmo Zhao1

  • 1Department of Chemistry, Rice University, Houston, Texas 77005-1892, USA.

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This summary is machine-generated.

This study introduces projected coupled cluster theory, combining the strengths of coupled cluster and projected Hartree-Fock methods. It successfully addresses strong correlation challenges by projecting broken symmetry wave functions, improving accuracy for molecular and Hubbard model systems.

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Area of Science:

  • Quantum Chemistry
  • Strongly Correlated Systems
  • Computational Physics

Background:

  • Coupled cluster (CC) theory excels for weakly correlated systems but struggles with strong correlations due to symmetry dilemmas.
  • Projected Hartree-Fock (PHF) theory captures strong correlation physics through symmetry breaking and restoration.
  • Existing methods face limitations in accurately describing strongly correlated electronic structures.

Purpose of the Study:

  • To develop a novel computational method that combines the accuracy of CC theory with the strong correlation handling of PHF.
  • To apply symmetry projection to broken-symmetry CC wave functions to overcome limitations in strongly correlated regimes.
  • To provide a rigorous and systematic framework for evaluating overlaps of non-orthogonal projected states.

Main Methods:

  • Symmetry projection is applied to broken-symmetry coupled cluster wave functions.
  • A disentanglement framework theory is developed to handle non-orthogonal states arising from symmetry projection.
  • The approach is tested on molecular systems and the Hubbard model.

Main Results:

  • Projected coupled cluster (PCC) theory significantly improves unrestricted coupled cluster (UCC) results by restoring good quantum numbers.
  • Spin projection in PCC enhances the description of systems with strong electron correlations.
  • The energy of PCC approaches the unprojected CC energy in the thermodynamic limit, demonstrating systematic improvement.

Conclusions:

  • Projected coupled cluster theory offers a promising route to accurately describe strongly correlated systems.
  • The developed disentanglement framework provides a robust solution for evaluating overlaps in projected methods.
  • This work bridges the gap between weakly and strongly correlated electronic structure calculations.