Abstract
Persistent currents in thin toroidal carbon nanotubes (TCN's) are linearly periodic functions of magnetic flux (φ) with a period φ 0 ( h c / e ). This result is a manifestation of the Aharonov-Bohm (AB) effect. They depend on the toroid structure (such as curvature, radius, and height), the temperature, and the Zeeman effect. The curvature effect due to the misorientation of π-electron orbitals affects the electronic states, and thus the persistent current. Consequently, most of armchair-zigzag TCN's exhibit diamagnetism. The current amplitude is inversely proportional to the toroid radius. A temperature increase significantly reduces the persistent current, while the periodical AB oscillation remains unchanged. Measurements of the persistent currents could be used to verify the predicted electronic states and the AB effect.
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