title: 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.
authors.affiliation: Department 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.
authors.forename: Giovanna
authors.initials: G
authors.lastname: Lani
authors.affiliation: Laboratoire de Mathématiques d'Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France.
authors.forename: Simone
authors.initials: S
authors.lastname: Di Marino
authors.affiliation: Dipartimento di Matematica, Universitá di Pisa, Largo B. Pontecorvo, 56126 Pisa, Italy.
authors.forename: Augusto
authors.initials: A
authors.lastname: Gerolin
authors.affiliation: Department of Physics, Nanoscience Center, University of Jyväskylä, 40014 Jyväskylä, Finland and European Theoretical Spectroscopy Facility (ETSF).
authors.forename: Robert
authors.initials: R
authors.lastname: van Leeuwen
authors.affiliation: Department 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.
authors.forename: Paola
authors.initials: P
authors.lastname: Gori-Giorgi