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We derive the generalized magneto-absorption spectra for curved graphenenanorib- bons and carbon nanotubes by using the Peierls tight-binding model.The main spectral characteristics and the optical selection rules result fromthe cooperative or competitive relationships between the geometric structureand a magnetic field. In curved ribbons, the dominant selection rule remainsunchanged during the variation of the curvature. When the arc angle increases,the prominent peaks are split, with some even vanishing as the angle exceeds acritical value. In carbon nanotubes, the angular-momentum coupling inducesextra selection rules, of which more are revealed due to the increase of either(both) of the factors: tube diameter and field strength. Particularly once thetwo factors exceed certain critical values, the optical spectra could reflectthe quasi-Landau-level structures. The identifying features of the spec- traprovide insight into optical excitations for curved systems with either open orclosed boundary condition.

Magneto-optical selection rules of curved graphene nanoribbons and carbon nanotubes