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Complex soft matter configurations hosting nanoparticles and topological defects
Mesarec, Luka ...
Topological defects (TDs) are an unavoidable consequence of symmetry-breaking transitions. Consequently, they appear in nature at all length scales, including particle physics, condensed matter, and ...cosmology. Liquid crystals (LCs), which are typical soft matter representatives, are a convenient medium to study the physics of TDs. In this chapter, we demonstrate a method for predicting the placement of TDs in orientational order in 2D curved manifolds. By employing a universal parallel transport approach, geometric potentials can be established to identify specific areas that attract TDs. Furthermore, we discuss how TDs in LCs could be exploited to control the assembling of nanoparticles (NPs). Namely, LCs are an ideal medium to host NPs due to their liquid character. In addition, appropriately surface decorated NPs could be strongly attracted to TDs. Since the orientational order could be realized also in biological membranes, the presented approach is useful to study the interaction of nanoparticles with biological membranes.
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