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arXiv · 1105.4762

Designing isotropic interactions for self-assembly of complex lattices

Erik Edlund·Oskar Lindgren·Martin Nilsson Jacobi
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Abstract

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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Erik Edlund, Oskar Lindgren, Martin Nilsson Jacobi. 2011-05-24. Designing isotropic interactions for self-assembly of complex lattices. https://doi.org/10.1103/physrevlett.107.085503

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