Abstract
We examine the optical properties of the recent observed 3-\AA{}-diam carbon nanotube (CNT), whose chirality is predicted as (2,2), using a time-dependent Hartree-Fock method, in comparisons with other small-diameter CNTs such as (3,1), (2,0), (2,1), (3,3), and (4,4) CNTs. The absorption spectra of the (2,2) and (3,1) CNTs, which are of the closest diameter, are found to be very different. The calculated exciton sizes for those small-diameter CNTs depend only slightly on diameter and are insensitive to chirality for the 3-\AA{}-diam CNTs. The (2,2) CNT could absorb green light, which implies that the small CNT can act as a prototype for the future development of CNT-based optoelectronic applications and for new designs of light absorbers or detectors.
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