Abstract
A binary Lennard-Jones alloy exhibits an entropically stabilized quasicrystal state in two dimensions at elevated temperatures. We consider the ground states of this model by calculating the convex hull of cohesive energy as a function of alloy composition. Only crystalline structures with rational values of the composition appear on vertices of the convex hull. In particular, at the irrational composition of the ideal quasicrystal structure, the ground state is a coexisting mixture of two nearby quasicrystal approximants.
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