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A combination of classical density-functional theory and thermodynamicperturbation theory is applied to a survey of finite-temperature trends in therelative stabilities of one-component crystals and quasicrystals interactingvia effective metallic pair potentials derived from pseudopotential theory.Comparing the free energies of several periodic crystals and rationalapproximant models of quasicrystals over a range of pseudopotential parameters,thermodynamically stable quasicrystals are predicted for parameters approachingthe limits of mechanical stability of the crystal structures. Quasicrystallinestability is attributed to vibrational stiffness and energetically favorablemedium- and long-range interactions. The results support and significantlyextend conclusions of previous ground-state lattice-sum studies.Comment: REVTeX, 37 pages + 7 figures, submitted, Phys. Rev.

Thermodynamically stable one-component quasicrystals: A density-functional survey of relative stabilities