Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1993-01-14
J.Statist.Phys. 88 (1997) 691
Physics
Condensed Matter
Statistical Mechanics
14 pages, Latex, 10 figures available upon request, completely revised version
Scientific paper
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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