  In recent computer simulations of a simple monatomic system interacting via
the Dzugutov pair potential, freezing of the fluid into an equilibrium
dodecagonal quasicrystal has been reported [M. Dzugutov, Phys. Rev. Lett. 70,
2924 (1993)]. Here, using a combination of molecular dynamics simulation and
thermodynamic perturbation theory, we conduct a detailed analysis of the
relative stabilities of solid-phase structures of the Dzugutov-potential
system. At low pressures, the most stable structure is found to be a bcc
crystal, which gives way at higher pressures to an fcc crystal. Although a
dodecagonal quasicrystal and a sigma-phase crystal compete with the bcc crystal
for stability, they remain always metastable.
