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The adiabatic strictly-correlated-electrons functional: kernel and exact properties
Giovanna Lani1, Simone Di Marino2, Augusto Gerolin3
1Department of Theoretical Chemistry and Amsterdam Center for Multiscale Modeling, FEW, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands. g.lani@vu.nl p.gorigiorgi@vu.nl.
We explored the adiabatic strictly-correlated electrons (SCE) functional for time-dependent density functional theory. Our findings reveal its compliance with exact theories and introduce a new exchange-correlation kernel for 1D systems.
Area of Science:
- Quantum mechanics
- Computational physics
- Materials science
Background:
- Time-dependent density functional theory (TDDFT) is a powerful tool for studying electronic systems.
- The strictly-correlated electrons (SCE) functional offers a high-accuracy approach within TDDFT.
- Understanding the properties of the SCE functional is crucial for advancing TDDFT applications.
Purpose of the Study:
- To investigate the formal properties of the adiabatic SCE functional.
- To assess its compliance with exact many-body constraints.
- To derive and analyze the adiabatic SCE Hartree exchange-correlation kernel in one-dimensional systems.
Main Methods:
- Analysis of formal properties, including generalized translational invariance and the zero-force theorem.
- Derivation of an analytical expression for the adiabatic SCE Hartree exchange-correlation kernel.
- Numerical computation and analysis of the kernel for various model densities in 1D systems.
Main Results:
- The adiabatic SCE functional demonstrates compliance with key exact many-body constraints.
- An analytical expression for the adiabatic SCE Hartree exchange-correlation kernel in 1D was derived.
- Numerical results highlight the non-local features of this kernel, crucial for specific problems.
Conclusions:
- The adiabatic SCE functional shows promise for accurate TDDFT calculations.
- The derived 1D kernel offers a new tool for tackling challenging electronic structure problems.
- This work advances the development of accurate and reliable functionals for quantum mechanical simulations.
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