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The electrical properties of a carbon nanotube depend strongly on its latticestructure as defined by chiral and translational vectors. A toroidal shape fora nanotube allows various twisted structures to exist along the direction ofthe tube axis. We theoretically investigate the kinematics of conductingelectrons and persistent currents in toroidal carbon nanotubes. We show thatpersistent currents exhibit a special characteristic of the cylindrical latticestructure in twisted cases. We discuss the possibilities that the twist altersthe period of the current to one half the flux quantum and that the currentflows without an external magnetic field.Comment: 14 pages, 4 figures, added references (v2), improved presentation  (v3

Characteristic Behavior of Toroidal Carbon Nanotubes: -- Kinematics of Persistent Currents --