{"volume":27,"language":[{"iso":"eng"}],"issue":"44","year":"2015","date_created":"2021-08-06T08:49:10Z","type":"journal_article","title":"Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling","author":[{"last_name":"Liu","full_name":"Liu, Hong","first_name":"Hong"},{"first_name":"Dirk Florian","id":"10904","last_name":"Heinze","full_name":"Heinze, Dirk Florian"},{"last_name":"Thanh Duc","full_name":"Thanh Duc, Huynh","first_name":"Huynh"},{"last_name":"Schumacher","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan","first_name":"Stefan","id":"27271"},{"full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","id":"344","first_name":"Torsten"}],"project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"user_id":"49063","abstract":[{"lang":"eng","text":"The Kane–Mele model was previously used to describe effective spin–orbit couplings (SOCs) in graphene. Here we extend this model and also incorporate curvature effects to analyze the combined influence of SOC and curvature on the band structure of carbon nanotubes (CNTs). The extended model then reproduces the chirality-dependent asymmetric electron-hole splitting for semiconducting CNTs and in the band structure for metallic CNTs shows an opening of the band gap and a change of the Fermi wave vector with spin. For chiral semiconducting CNTs with large chiral angle we show that the spin-splitting configuration of bands near the Fermi energy depends on the value of $\\text{mod}(2n+m,3)$ ."}],"_id":"22946","doi":"10.1088/0953-8984/27/44/445501","status":"public","publication_status":"published","intvolume":"        27","date_updated":"2023-04-16T21:25:28Z","citation":{"ama":"Liu H, Heinze DF, Thanh Duc H, Schumacher S, Meier T. Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling. <i>Journal of Physics: Condensed Matter</i>. 2015;27(44). doi:<a href=\"https://doi.org/10.1088/0953-8984/27/44/445501\">10.1088/0953-8984/27/44/445501</a>","apa":"Liu, H., Heinze, D. F., Thanh Duc, H., Schumacher, S., &#38; Meier, T. (2015). Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling. <i>Journal of Physics: Condensed Matter</i>, <i>27</i>(44), Article 445501. <a href=\"https://doi.org/10.1088/0953-8984/27/44/445501\">https://doi.org/10.1088/0953-8984/27/44/445501</a>","bibtex":"@article{Liu_Heinze_Thanh Duc_Schumacher_Meier_2015, title={Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling}, volume={27}, DOI={<a href=\"https://doi.org/10.1088/0953-8984/27/44/445501\">10.1088/0953-8984/27/44/445501</a>}, number={44445501}, journal={Journal of Physics: Condensed Matter}, author={Liu, Hong and Heinze, Dirk Florian and Thanh Duc, Huynh and Schumacher, Stefan and Meier, Torsten}, year={2015} }","ieee":"H. Liu, D. F. Heinze, H. Thanh Duc, S. Schumacher, and T. Meier, “Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling,” <i>Journal of Physics: Condensed Matter</i>, vol. 27, no. 44, Art. no. 445501, 2015, doi: <a href=\"https://doi.org/10.1088/0953-8984/27/44/445501\">10.1088/0953-8984/27/44/445501</a>.","chicago":"Liu, Hong, Dirk Florian Heinze, Huynh Thanh Duc, Stefan Schumacher, and Torsten Meier. “Curvature Effects in the Band Structure of Carbon Nanotubes Including Spin–Orbit Coupling.” <i>Journal of Physics: Condensed Matter</i> 27, no. 44 (2015). <a href=\"https://doi.org/10.1088/0953-8984/27/44/445501\">https://doi.org/10.1088/0953-8984/27/44/445501</a>.","mla":"Liu, Hong, et al. “Curvature Effects in the Band Structure of Carbon Nanotubes Including Spin–Orbit Coupling.” <i>Journal of Physics: Condensed Matter</i>, vol. 27, no. 44, 445501, 2015, doi:<a href=\"https://doi.org/10.1088/0953-8984/27/44/445501\">10.1088/0953-8984/27/44/445501</a>.","short":"H. Liu, D.F. Heinze, H. Thanh Duc, S. Schumacher, T. Meier, Journal of Physics: Condensed Matter 27 (2015)."},"publication_identifier":{"issn":["0953-8984","1361-648X"]},"publication":"Journal of Physics: Condensed Matter","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"297"},{"_id":"230"}],"article_number":"445501"}