Exact partition potential for model systems of interacting electrons in 1-D
arXiv:1809.09784 · doi:10.1140/epjb/e2018-90196-3
Abstract
We find the numerically exact partition potential for 1-D systems of interacting electrons designed to model diatomic molecules. At integer fragment occupations, the kinetic contribution to the partition potential develops sharp features in the internuclear region that nearly cancel corresponding features of exchange-correlation. They occur at locations that coincide with those of well-known features of the underlying molecular Kohn-Sham potential. For non-integer fragment occupations, we demonstrate that the fragment Kohn-Sham gaps determine the kinetic part of the partition potential. Our results highlight the importance of non-additive noninteracting kinetic and exchange-correlation energy approximations in density-embedding methods at large internuclear separations and the importance of non-additive noninteracting kinetic energy approximations at all separations.
References in corpus (12)
- Partition Density Functional Theory
- Exact Kohn-Sham potential of strongly correlated finite systems
- Numerical Methods for the Inverse Problem of Density Functional Theory
- Density functional theory beyond the linear regime: Validating adiabatic LDA
- Kohn-Sham potentials in exact density-functional theory at non-integer electron numbers
- One Dimensional Mimicking of Electronic Structure: The Case for Exponentials
- Fragment-based Treatment of Delocalization and Static Correlation Errors in Density-Functional Theory
- Time-Dependent Density Functional Theory Beyond Kohn-Sham Slater Determinants
- Effect of discontinuities in Kohn-Sham-based chemical reactivity theory
- Partition theory: A very simple illustration
- Charge Transfer in Partition Theory
- Non-additive Non-interacting Kinetic Energy of Rare Gas Dimers