Persistent currents in toroidal carbon nanoscrolls
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Abstract:
Based on the toroidal carbon nanoscrolls tight-binding model, the expressions of persistent currents are derived, and the effects of geometric structure, separation energy level, temperature and Zeeman effect on the persistent current are systematically studied. The results show that the magnitude of the persistent current in the toroidal carbon nanoscrolls is only 10-7 A, and as the circumference of the coil increases, the persistent current will gradually decrease. The states near the Fermi level carries almost all the persistent current, while the far-off states contribute very little. As the temperature rises, the persistent current decreases sharply; the larger the coil, the more obvious the influence of temperature on the persistent current. With the Zeeman effect taken into account, the persistent current changes with a new decrease and the periodic structure is destroyed for a stronger magnetic field.
