  The incorporation of a strong interaction regime within the approximate,
semilocal exchange-correlation functionals still remains a very challenging
task for density functional theory. One of the promising attempts in this
direction is the recently proposed adiabatic connection semilocal correlation
(ACSC) approach [Phys. Rev. B 2019, 99, 085117] allowing to construct the
correlation energy functionals by interpolation of the high and low-density
limits for the given semi-local approximation. The current study extends the
ACSC method to the meta-GGA level of theory, providing some new insights. As an
example, we construct the correlation energy functional base on the high and
low-density limits of the Tao-Perdew-Starverov-Scuseria (TPSS) functional.
Arose in this way TPSS-ACSC functional is one electron self-interaction free,
accurate for the strictly correlated, and quasi-two-dimensional regimes. Based
on simple examples, we show the advantages and disadvantages of ACSC semi-local
functionals and provide some new guidelines for future developments in this
context.
