Designing isotropic interactions for self-assembly of complex lattices

Details Designing isotropic interactions for self-assembly of complex lattices Designing isotropic interactions for self-assembly of complex lattices

2011-05-24

arxiv.org/abs/1105.4762v1

Physical Review Letters 107, 085503 (2011)

Physics

Condensed Matter

Materials Science

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.107.085503

We present a direct method for solving the inverse problem of designing isotropic potentials that cause self-assembly into target lattices. Each potential is constructed by matching its energy spectrum to the reciprocal representation of the lattice to guarantee that the desired structure is a ground state. We use the method to self-assemble complex lattices not previously achieved with isotropic potentials, such as a snub square tiling and the kagome lattice. The latter is especially interesting because it provides the crucial geometric frustration in several proposed spin liquids.

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