Basis-set correction based on density-functional theory: Rigorous framework for a one-dimensional model.

Autor: Traore, Diata, Giner, Emmanuel, Toulouse, Julien
Předmět:
Zdroj: Journal of Chemical Physics; 1/28/2022, Vol. 156 Issue 4, p1-13, 13p
Abstrakt: We re-examine the recently introduced basis-set correction theory based on density-functional theory, which consists of correcting the basis-set incompleteness error of wave-function methods using a density functional. We use a one-dimensional model Hamiltonian with delta-potential interactions, which has the advantage of making easier to perform a more systematic analysis than for three-dimensional Coulombic systems while keeping the essence of the slow basis convergence problem of wave-function methods. We provide some mathematical details about the theory and propose a new variant of basis-set correction, which has the advantage of being suited to the development of an adapted local-density approximation. We show, indeed, how to develop a local-density approximation for the basis-set correction functional, which is automatically adapted to the basis set employed, without resorting to range-separated density-functional theory as in previous studies, but using instead a finite uniform electron gas whose electron–electron interaction is projected on the basis set. The work puts the basis-set correction theory on firmer ground and provides an interesting strategy for the improvement of this approach. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index