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Earlier tests show that the Tao-Perdew-Staroverov-Scuseria (TPSS)nonempirical meta-generalized gradient approximation (meta-GGA) for theexchange-correlation energy yields more accurate surface energies than thelocal spin density (LSD) approximation for spin-unpolarized jellium. In thisstudy, work functions and surface energies of a jellium metal in the presenceof ``internal'' and external magnetic fields are calculated with LSD,Perdew-Burke-Ernzerhof (PBE) GGA, and TPSS meta-GGA and its predecessor, thenearly nonempirical Perdew-Kurth-Zupan-Blaha (PKZB) meta-GGA, usingself-consistent LSD orbitals and densities. The results show that: (i) Fornormal bulk densities, the surface correlation energy is the same in TPSS as inPBE, as it should be since TPSS strives to represent a self-correlationcorrection to PBE; (ii) Normal surface density profiles can be scaled uniformlyto the low-density or strong-interaction limit, and TPSS provides an estimatefor that limit that is consistent with (but probably more accurate than) otherestimates; (iii) For both normal and low densities, TPSS provides the samedescription of surface magnetism as PBE, suggesting that these approximationsmay be generally equivalent for magnetism. The energies of jellium spheres withup to 106 electrons are calculated using density functionals and compared tothose obtained with Diffusion Quantum Monte Carlo data, including our estimatefor the fixed-node correction. Finally we calculate the linear response of bulkjellium using these density functionals, and find that not only LSD but alsoPBE GGA and TPSS meta-GGA yield a linear-response in good agreement with thatof the Quantum Monte Carlo method, for wavevectors of the perturbing externalpotential up to twice the Fermi wavevector.

Nonempirical Density Functionals Investigated for Jellium: Spin-Polarized Surfaces, Spherical Clusters, and Bulk Linear Response