The adiabatic strictly-correlated-electrons functional: kernel and exact properties

Abstract

We investigate a number of formal properties of the adiabatic strictly-correlated electrons (SCE) functional, relevant for time-dependent potentials and for kernels in linear response time-dependent density functional theory. Among the former, we focus on the compliance to constraints of exact many-body theories, such as the generalised translational invariance and the zero-force theorem. Within the latter, we derive an analytical expression for the adiabatic SCE Hartree exchange-correlation kernel in one dimensional systems, and we compute it numerically for a variety of model densities. We analyse the non-local features of this kernel, particularly the ones that are relevant in tackling problems where kernels derived from local or semi-local functionals are known to fail.

arXiv commentsubmitted to PCCP for the Baerends special issue

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Cited by in corpus (4)

• Response potential in the strong-interaction limit of DFT: Analysis and comparison with the coupling-constant average
• Functional Derivative of the Zero Point Energy Functional from the Strong Interaction Limit of Density Functional Theory
• Time-dependent density-functional theory for strongly interacting electrons
• Strictly correlated electrons approach to excitation energies of dissociating molecules