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Stable quasicrystalline ground states

Jacek Miekisz
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Abstract

We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a 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.

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Jacek Miekisz. 1998-02-03. Stable quasicrystalline ground states. https://doi.org/10.1023/b%3Ajoss.0000015168.25151.22

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