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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
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Crystal Field Theory
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Fermi Level Dynamics01:12

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Published on: December 4, 2017

Dynamical mean-field theory from a quantum chemical perspective.

Dominika Zgid1, Garnet Kin-Lic Chan

  • 1Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853, USA. dominika.zgid@gmail.com

The Journal of Chemical Physics
|March 10, 2011
PubMed
Summary

This study integrates quantum chemistry with dynamical mean-field theory (DMFT) to enhance calculations for complex materials. Researchers developed new methods for DMFT using quantum chemical techniques, improving accuracy for electronic correlation problems.

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Area of Science:

  • Quantum Chemistry
  • Condensed Matter Physics
  • Computational Materials Science

Background:

  • Dynamical Mean-Field Theory (DMFT) extends quantum chemistry methods to infinite systems.
  • Local correlation approximations are key to DMFT's applicability.
  • Bridging quantum chemical and DMFT formalisms is crucial for advanced material simulations.

Purpose of the Study:

  • To explore the integration of quantum chemical techniques with Dynamical Mean-Field Theory (DMFT).
  • To develop novel ab initio Hamiltonians and impurity solvers for DMFT.
  • To address challenges in applying DMFT to electronic correlation problems in materials.

Main Methods:

  • An informal overview of DMFT using quantum chemical language.
  • Implementation of DMFT starting from an ab initio Hartree-Fock Hamiltonian.
  • Utilizing the configuration interaction hierarchy as an approximate impurity solver for DMFT.
  • Investigating numerical convergence issues within DMFT.

Main Results:

  • A novel DMFT implementation avoiding double counting errors.
  • Demonstrated use of configuration interaction for DMFT impurity solvers.
  • Analysis of numerical convergence challenges in DMFT.
  • Validation of methods using the cubic hydrogen model.

Conclusions:

  • Quantum chemical approaches offer promising avenues for advancing DMFT.
  • Further development of ab initio Hamiltonians and solvers is needed.
  • The cubic hydrogen model serves as a valuable benchmark for correlation methods.