A tight-binding analysis of honeycomb lattices on helicoidal surfaces finds width-controlled gap oscillations and an alternating Zak phase, though the topological invariant depends on the chosen unit-cell convention.
Structural and helix reversal defects of carbon nanosprings
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abstract
Due to their chiral structure, carbon nanosprings possess unique properties that are promising for nanotechnology applications. The structural transformations of carbon nanosprings in the form of spiral macromolecules derived from planar coronene and kekulene molecules (graphene helicoids and spiral nanoribbons) are analyzed using molecular dynamics simulations. While the tension/compression of such nanosprings has been analyzed in the literature, this study investigates other modes of deformation, including bending and twisting. Depending on the geometric characteristics of the carbon nanosprings, the formation of structural and helix reversal defects is described. It is found that nanosprings demonstrate a significantly higher coefficient of axial thermal expansion than many metals and alloys. These results are useful for designing nanosensors that operate over a wide temperature range.
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Electronic properties and topological aspects of graphene nanohelicoids
A tight-binding analysis of honeycomb lattices on helicoidal surfaces finds width-controlled gap oscillations and an alternating Zak phase, though the topological invariant depends on the chosen unit-cell convention.