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Double toroids as model systems for carbon nanotube junctions: through-bond currents. (English) Zbl 1185.92094
Summary: We show that the through-bond currents in a closed molecular network originate from their topologically invariant edge-homologies. When applied to double toroidal structures they give rise to topologically induced currents whose 3D manifestations are highly sensitive to the way both loops are merged together, i.e., on the nature of their junction.

MSC:
92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
57M99 General low-dimensional topology
57Q99 PL-topology
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