  We extend the previously proposed one-parameter double-hybrid
density-functional theory [K. Sharkas, J. Toulouse, and A. Savin, J. Chem.
Phys. 134, 064113 (2011)] to meta-generalized-gradient-approximation (meta-GGA)
exchange-correlation density functionals. We construct several variants of
one-parameter double-hybrid approximations using the
Tao-Perdew-Staroverov-Scuseria (TPSS) meta-GGA functional and test them on test
sets of atomization energies and reaction barrier heights. The most accurate
variant uses the uniform coordinate scaling of the density and of the kinetic
energy density in the correlation functional, and improves over both standard
Kohn-Sham TPSS and second-order Moller-Plesset calculations.
