Exchange-Correlation Functionals via Local Interpolation along the Adiabatic Connection.
The construction of density-functional approximations is explored by modeling the adiabatic connection locally, using energy densities defined in terms of the electrostatic potential of the exchange-correlation hole. These local models are more amenable to the construction of size-consistent approximations than their global counterparts. In this work we use accurate input local ingredients to assess the accuracy of a range of local interpolation models against accurate exchange-correlation energy densities. The importance of the strictly correlated electrons (SCE) functional describing the strong coupling limit is emphasized, enabling the corresponding interpolated functionals to treat strong correlation effects. In addition to exploring the performance of such models numerically for the helium and beryllium isoelectronic series and the dissociation of the hydrogen molecule, an approximate analytic model is presented for the initial slope of the local adiabatic connection. Comparisons are made with approaches based on global models, and prospects for future approximations based on the local adiabatic connection are discussed.
Department of Theoretical Chemistry and Amsterdam Center for Multiscale Modeling, FEW, Vrije Universiteit , De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
Stefan
S
Vuckovic
School of Chemistry, University of Nottingham , University Park, Nottingham NG7 2RD, United Kingdom.
Tom J P
TJ
Irons
Laboratoire de Chimie Théorique, UPMC, Paris 06, UMR 7616, Sorbonne Universités , F-75005 Paris, France.|Laboratoire de Chimie Théorique, UMR 7616, CNRS F-75005, Paris, France.
Andreas
A
Savin
School of Chemistry, University of Nottingham , University Park, Nottingham NG7 2RD, United Kingdom.
Andrew M
AM
Teale
Department of Theoretical Chemistry and Amsterdam Center for Multiscale Modeling, FEW, Vrije Universiteit , De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
Paola
P
Gori-Giorgi