Meta-generalized gradient approximation of adiabatic connection semilocal correlation functional

We have developed a meta-generalized gradient approximation (meta-GGA) correlation energy functional using the adiabatic connection semilocal correlation (ACSC) approach proposed recently [L. A. Constantin, Phys. Rev. B 99, 085117 (2019)]. The construction is based on the high and low-density limits of the Tao-Perdew-Starverov-Scuseria (TPSS) correlation energy functional leading to the TPSS-ACSC density functional approximation, which is one electron self-interaction free, accurate for strictly correlated, and quasi-two-dimensional regimes. Based on simple examples, we show the advantages and disadvantages of ACSC semilocal functionals and provide some new guidelines for future developments.Comment: 11 page