Abstract
The low-energy electronic states and energy gaps of carbon nanocones in an electric field are studied using a single-π-band tight-binding model. The analysis considers five perfect carbon nanocones with disclination angles of 60°, 120°, 180°, 240° and 300°, respectively. The numerical results reveal that the low-energy electronic states and energy gaps of a carbon nanocones are highly sensitive to its geometric shape (i.e. the disclination angle and height), and to the direction and magnitude of an electric field. The electric field causes a strong modulation of the state energies and energy gaps of the nanocones, changes their Fermi levels, and induces zero-gap transitions. The energy-gap modulation effect becomes particularly pronounced at higher strength of the applied electric field, and is strongly related to the geometric structure of the nanocone.
Highlights
The properties and potential applications of carbon-related nanometer-size materials have attracted intensive interest in recent years
The results showed that perfect carbon nanocones have one of five possible open apex angles, i.e. 123.6°, 86.6°, 60°, 38.9° and 19.2° corresponding to their disclination angles of 60°, 120°, 180°, 240° and 300°, respectively
It is reasonable to speculate that the energy gap of a carbon nanocone will be modulated under the effects of a uniform electric field
Summary
The properties and potential applications of carbon-related nanometer-size materials have attracted intensive interest in recent years. Relatively few studies have investigated the effect of an electric field on the electronic structures of carbon nanocones.
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