Magneto-optical selection rules of curved graphene nanoribbons and carbon nanotubes |
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| Affiliation: | 1. Department of Physics, National Cheng Kung University, Tainan 701, Taiwan;2. Center for General Education, Tainan University of Technology, Tainan 710, Taiwan;1. Advanced Photonics Research Institute (APRI), Gwangju Institute of Science and Technology (GIST), 123 Cheomdan-gwagiro, Buk-gu, Gwangju 61005, Republic of Korea;2. Phoco Co. Ltd., KAIST Munji Campus, 103-6 Munji-dong, Yuseong-gu, Daejeon 34051, Republic of Korea;3. P-CUBE Co. Ltd., Gwangju Technopark, 958-3 Daechon-dong, Buk-gu, Gwangju 61008, Republic of Korea;4. Elecctronics and Communication Engineering Discipline, Khulna University, Khulna 9208, Bangladesh;5. Department of Photonic Engineering, Chosun University, 309 Pilmun-daero, Dong-gu, Gwangju 61452, Republic of Korea;1. Institute of Chemical Sciences, Organic Chemistry Division, Bahauddin Zakariya University, Multan 60800, Pakistan;2. Laboratoire de Chimie des Matériaux (LCM), Faculté des Sciences d''Oujda (FSO), Université Mohammed 1Er, Oujda 60000, Morocco;3. Institut de Physique de Rennes, UMR 625, Université de Rennes 1, Campus de Beaulieu Bat. 11 A, 263 av. Général Leclerc, Rennes Cedex 35042, France;4. Department of Chemistry, Quaid-i-Azam University, Islamabad 45320, Pakistan;1. School of Computer & Communication Engineering, University of Science & Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing, 100083, PR China;2. Computer Network Information Center of CAS, Beijing, 100190, PR China;1. Department of Environmental Engineering, National Chung Hsing University, Taichung 402, Taiwan, ROC;2. Department of Civil and Environmental Engineering, National University of Kaohsiung, Kaohsiung 811, Taiwan, ROC |
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| Abstract: | We derive the generalized magneto-absorption spectra for curved graphene nanoribbons and carbon nanotubes by using the Peierls tight-binding model. The main spectral characteristics and the optical selection rules result from the cooperative or competitive relationships between the geometric structure and a magnetic field. In curved ribbons, the dominant selection rule remains unchanged during the variation of the curvature. When the arc angle increases, the prominent peaks are split, with some even vanishing as the angle exceeds a critical value. In carbon nanotubes, the angular-momentum coupling induces extra selection rules, of which more are revealed due to the increase of either (both) of the factors: tube diameter and field strength. Particularly once the two factors exceed certain critical values, the optical spectra could reflect the quasi-Landau-level structures. The identifying features of the spectra provide insight into optical excitations for curved systems with either open or closed boundary condition. |
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