Finite temperature scaling in density functional theory

ABSTRACT

A previous analysis of scaling, bounds, and inequalities for the non-interacting functionals of thermal density functional theory (DFT) is extended to the full interacting functionals. The results are obtained from analysis of the related functionals from the equilibrium statistical mechanics of thermodynamics for an inhomogeneous system. Their extension to the functionals of DFT is described.

GRAPHICAL ABSTRACT

Keywords:

• Density functional theory

Acknowledgements

The authors thank Stefano Pitallis and Kieron Burke for useful discussions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported under US DOE [grant number DE-SC0002139].