Abstract
AbstractWe present crystallization results for planar atomic interactions governed by two‐ and three‐body terms with the resulting periodicity being that of the square lattice. The emergence of a (square) Wulff shape for ground states is established by showing the optimality of ground‐state configurations in terms of a discrete isoperimetric inequality. Furthermore, an n3/4 law for the deviation from the asymptotic Wulff shape is established with an explicit constant for the leading term. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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