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Local-MP2 electron correlation method for nonconducting crystals.

C Pisani1, M Busso, G Capecchi

  • 1Dipartimento di Chimica IFM, and Centre of Excellence NIS (Nanostructured Interfaces and Surfaces), Università di Torino, via Giuria 5, I-10125 Torino, Italy.

The Journal of Chemical Physics
|April 20, 2005
PubMed
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Researchers developed a new method to calculate electron correlation in crystalline solids. This approach, using local correlation techniques, significantly speeds up computations for semiconductors and insulators.

Area of Science:

  • Computational Chemistry
  • Solid-State Physics
  • Quantum Chemistry

Background:

  • Accurate determination of electron correlation is crucial for understanding crystalline solids.
  • Existing methods for calculating correlation corrections in solids are computationally intensive.
  • Hartree-Fock (HF) methods provide a baseline but neglect electron correlation.

Purpose of the Study:

  • To develop efficient methods for post-Hartree-Fock correlation corrections in crystalline solids.
  • To extend local correlation linear scaling techniques to nonconducting crystals.
  • To reduce the computational cost of determining correlation energies in periodic systems.

Main Methods:

  • Utilized the CRYSTAL program for accurate Hartree-Fock solutions of periodic systems.

Related Experiment Videos

  • Employed localized Wannier functions to represent the occupied HF manifold in insulators.
  • Adapted local correlation linear scaling techniques, inspired by the MOLPRO program, for crystalline solids.
  • Developed a periodic local correlation program (CRYSCOR) based on second-order Møller-Plesset perturbation theory.
  • Leveraged translational symmetry to reduce the crystalline problem to a cluster calculation.
  • Exploited point group symmetry to enhance computational efficiency.

    • Main Results:

    • Demonstrated the feasibility of applying local correlation techniques to periodic systems.
    • Showcased the efficiency gains achieved by exploiting the distance-dependent decay of correlation effects.
    • Presented preliminary results for five semiconductors with tetrahedral structures: C, Si, SiC, BN, and BeS.
    • Highlighted the increased importance and utility of point group symmetry in crystalline calculations compared to molecular cases.

    Conclusions:

    • The developed periodic local correlation approach offers an efficient strategy for calculating correlation corrections in crystalline solids.
    • The CRYSCOR program provides a viable tool for studying electron correlation in insulators and semiconductors.
    • Further development and application of these methods will advance the understanding of solid-state properties.