Stable quasicrystralline ground states
(1997) Journal of Statistical Physics — Vol. 88, n° 3/4, p. 691-711 (1997)
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- (en) 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. Comment: 14 pages, Latex, 10 figures available upon request, completely revised version
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Miekisz, J. (1997). Stable quasicrystralline ground states. Journal of Statistical Physics, 88(3/4), 691-711. https://doi.org/10.1023/B:JOSS.0000015168.25151.22 (Original work published 1997)