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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

Density-functional theory for strongly interacting electrons.

Paola Gori-Giorgi1, Michael Seidl, G Vignale

  • 1Laboratoire de Chimie Théorique, CNRS, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris, France.

Physical Review Letters
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

We introduce a new density-functional theory method for strongly interacting electrons. This approach expands on zero kinetic energy, offering an alternative to Kohn-Sham theory for calculating ground-state properties.

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Area of Science:

  • Quantum mechanics
  • Computational physics
  • Materials science

Background:

  • The Kohn-Sham formulation is a standard method in density-functional theory.
  • Strongly interacting electronic systems present challenges for traditional methods.
  • Accurate calculation of ground-state properties is crucial for understanding material behavior.

Purpose of the Study:

  • To present an alternative formulation to Kohn-Sham density-functional theory.
  • To develop a method applicable to strongly interacting electronic systems.
  • To provide a new theoretical framework for ground-state properties.

Main Methods:

  • Starting from the limit of zero kinetic energy.
  • Systematically expanding the universal energy functional in powers of a coupling constant.
  • Reducing the energy minimization problem to a strictly correlated electron problem with an effective potential.

Main Results:

  • The proposed theory offers an alternative to the Kohn-Sham formulation.
  • The effective potential in this theory plays a role analogous to the Kohn-Sham potential.
  • Preliminary results for low-density quantum dots are reported.

Conclusions:

  • The presented method offers a viable alternative for strongly correlated systems.
  • Further development and application of this theory can advance the understanding of electronic systems.
  • The approach shows promise for accurately predicting properties of quantum dots.