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Stable Quasicrystalline Ground States

1997; Springer Science+Business Media; Volume: 88; Issue: 3/4 Linguagem: Inglês

10.1023/b

1572-9613

Jacek Miękisz,

Theoretical and Computational Physics

We give strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions, but rather are generic in some regions of phase space. We show this by constructing classical lattice-gas models with translation-invariant finite-range interactions and with a unique quasiperiodic ground state which is stable against small perturbations of two-body potentials. More generally, we provide a criterion for stability of nonperiodic ground states.