  The structural and energetic properties of layered materials propose a
challenge to density functional theory with common semilocal approximations to
the exchange-correlation. By combining the most-widely used semilocal
generalized gradient approximation (GGA), Perdew--Burke--Ernzerhof (PBE), with
the revised Vydrov--Van Voorhis non-local correlation functional (rVV10), both
excellent structural and energetic properties of 28 layered materials were
recovered with a judicious parameter selection. We term the resulting
functional as PBE+rVV10L with "L" denoting for layered materials. Such
combination is not new, and involves only refitting a single global parameter,
however the resulting excellency suggests such corrected PBE for many aspects
of theoretical studies on layered materials. For comparison, we also present
the results for PBE+rVV10 where the parameter is determined by the 22
interaction energies between molecules.
