The virial theorem and exact properties of density functionals for periodic systems

TL;DR

This paper uses a novel scaling technique within density functional theory to derive exact properties of density functionals for periodic systems, addressing previous mathematical challenges and enhancing theoretical understanding.

Contribution

It introduces a new scaling approach to derive universal properties of exchange-correlation functionals for periodic systems, resolving existing mathematical difficulties.

Findings

Derived exact properties of density functionals for periodic systems

Resolved mathematical challenges in applying the virial theorem to periodic systems

Provided a new methodology for theoretical analysis in density functional theory

Abstract

In the framework of density functional theory, scaling and the virial theorem are essential tools for deriving exact properties of density functionals. Preexisting mathematical difficulties in deriving the virial theorem via scaling for periodic systems are resolved via a particular scaling technique. This methodology is employed to derive universal properties of the exchange-correlation energy functional for periodic systems.