Abstract

We describe and implement a structural search methodology which divides the global configuration space into enumerable subspaces, termed isopointal sets, and then searches within them using simulated annealing. This division allows us to follow a natural order for searching the infinite global configuration space, by respecting the observed tendency for molecular or colloidal particles to form crystals with a very limited set of local environments and symmetries. The method also produces near-optimal structural candidates with each symmetry searched, a useful feature for systems exhibiting polymorphic crystallization. We have applied this to dense packing simply-connected hard shapes in two dimensions, but the same method is applicable to optimizing arbitrary Hamiltonians, or ab-initio structural searches in higher dimensions.

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