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We model the stabilization of clusters and lattices of cuboidal particleswith long-ranged magnetic dipolar and short-ranged surface interactions. Tworealistic systems were considered: one with magnetization orientated in the[001] crystallographic direction, and the other with magnetization along the[111] direction. We have studied magnetic nanocubes clusters first in the limitof $T=0$~K intending to elucidate the structural genesis of low energyconfigurations and then analyzed finite-temperature behavior of the samesystems in simulations. Our results demonstrate that dipolar coupling canstabilize nanoparticle assemblies with cubic, planar, and linear arrangementsseen previously in experiments. While attractive surface energy supports theformation of super-cubes, the repulsion results in the elongated structures inthe form of rods and chains. We observe the stabilization of the ferromagneticplanar arrangements of the cubes standing on their corners and in contact overedges. We illustrate that minimal energy structures depend only on the size ofthe assembly and balance of surface repulsion and magnetic dipolar coupling.The presented results are scalable to different particle sizes and materialparameters.

Assembly of nanocube super-structures directed by surface and magnetic interactions