[{"user_id":"16199","abstract":[{"text":"AbstractTailored nanoscale quantum light sources, matching the specific needs of use cases, are crucial building blocks for photonic quantum technologies. Several different approaches to realize solid-state quantum emitters with high performance have been pursued and different concepts for energy tuning have been established. However, the properties of the emitted photons are always defined by the individual quantum emitter and can therefore not be controlled with full flexibility. Here we introduce an all-optical nonlinear method to tailor and control the single photon emission. We demonstrate a laser-controlled down-conversion process from an excited state of a semiconductor quantum three-level system. Based on this concept, we realize energy tuning and polarization control of the single photon emission with a control-laser field. Our results mark an important step towards tailored single photon emission from a photonic quantum system based on quantum optical principles.","lang":"eng"}],"date_created":"2023-01-27T13:41:42Z","status":"public","volume":13,"keyword":["General Physics and Astronomy","General Biochemistry","Genetics and Molecular Biology","General Chemistry","Multidisciplinary"],"publication":"Nature Communications","author":[{"last_name":"Jonas","first_name":"B.","full_name":"Jonas, B."},{"last_name":"Heinze","id":"10904","first_name":"Dirk Florian","full_name":"Heinze, Dirk Florian"},{"last_name":"Schöll","full_name":"Schöll, E.","first_name":"E."},{"full_name":"Kallert, P.","first_name":"P.","last_name":"Kallert"},{"full_name":"Langer, T.","first_name":"T.","last_name":"Langer"},{"full_name":"Krehs, S.","first_name":"S.","last_name":"Krehs"},{"first_name":"A.","full_name":"Widhalm, A.","last_name":"Widhalm"},{"first_name":"Klaus","full_name":"Jöns, Klaus","last_name":"Jöns","id":"85353"},{"full_name":"Reuter, Dirk","first_name":"Dirk","id":"37763","last_name":"Reuter"},{"first_name":"Stefan","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","id":"27271"},{"orcid":"0000-0002-5190-0944","full_name":"Zrenner, Artur","first_name":"Artur","id":"606","last_name":"Zrenner"}],"publisher":"Springer Science and Business Media LLC","issue":"1","article_number":"1387","_id":"40523","intvolume":" 13","type":"journal_article","citation":{"short":"B. Jonas, D.F. Heinze, E. Schöll, P. Kallert, T. Langer, S. Krehs, A. Widhalm, K. Jöns, D. Reuter, S. Schumacher, A. Zrenner, Nature Communications 13 (2022).","ieee":"B. Jonas et al., “Nonlinear down-conversion in a single quantum dot,” Nature Communications, vol. 13, no. 1, Art. no. 1387, 2022, doi: 10.1038/s41467-022-28993-3.","chicago":"Jonas, B., Dirk Florian Heinze, E. Schöll, P. Kallert, T. Langer, S. Krehs, A. Widhalm, et al. “Nonlinear Down-Conversion in a Single Quantum Dot.” Nature Communications 13, no. 1 (2022). https://doi.org/10.1038/s41467-022-28993-3.","ama":"Jonas B, Heinze DF, Schöll E, et al. Nonlinear down-conversion in a single quantum dot. Nature Communications. 2022;13(1). doi:10.1038/s41467-022-28993-3","apa":"Jonas, B., Heinze, D. F., Schöll, E., Kallert, P., Langer, T., Krehs, S., Widhalm, A., Jöns, K., Reuter, D., Schumacher, S., & Zrenner, A. (2022). Nonlinear down-conversion in a single quantum dot. Nature Communications, 13(1), Article 1387. https://doi.org/10.1038/s41467-022-28993-3","mla":"Jonas, B., et al. “Nonlinear Down-Conversion in a Single Quantum Dot.” Nature Communications, vol. 13, no. 1, 1387, Springer Science and Business Media LLC, 2022, doi:10.1038/s41467-022-28993-3.","bibtex":"@article{Jonas_Heinze_Schöll_Kallert_Langer_Krehs_Widhalm_Jöns_Reuter_Schumacher_et al._2022, title={Nonlinear down-conversion in a single quantum dot}, volume={13}, DOI={10.1038/s41467-022-28993-3}, number={11387}, journal={Nature Communications}, publisher={Springer Science and Business Media LLC}, author={Jonas, B. and Heinze, Dirk Florian and Schöll, E. and Kallert, P. and Langer, T. and Krehs, S. and Widhalm, A. and Jöns, Klaus and Reuter, Dirk and Schumacher, Stefan and et al.}, year={2022} }"},"year":"2022","title":"Nonlinear down-conversion in a single quantum dot","project":[{"_id":"53","name":"TRR 142: TRR 142"},{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"},{"_id":"60","name":"TRR 142 - A03: TRR 142 - Subproject A03"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"publication_identifier":{"issn":["2041-1723"]},"publication_status":"published","department":[{"_id":"15"},{"_id":"297"},{"_id":"230"},{"_id":"429"},{"_id":"27"},{"_id":"623"},{"_id":"170"},{"_id":"35"}],"doi":"10.1038/s41467-022-28993-3","date_updated":"2023-04-20T15:18:31Z","language":[{"iso":"eng"}]},{"user_id":"16199","title":"Nonlinear down-conversion in a single quantum dot","publisher":"LibreCat University","author":[{"first_name":"Björn","full_name":"Jonas, Björn","last_name":"Jonas"},{"first_name":"Dirk Florian","full_name":"Heinze, Dirk Florian","last_name":"Heinze","id":"10904"},{"last_name":"Schöll","first_name":"Eva","full_name":"Schöll, Eva"},{"last_name":"Kallert","full_name":"Kallert, Patricia","first_name":"Patricia"},{"last_name":"Langer","full_name":"Langer, Timo","first_name":"Timo"},{"last_name":"Krehs","full_name":"Krehs, Sebastian","first_name":"Sebastian"},{"last_name":"Widhalm","first_name":"Alex","full_name":"Widhalm, Alex"},{"last_name":"Jöns","id":"85353","first_name":"Klaus","full_name":"Jöns, Klaus"},{"first_name":"Dirk","full_name":"Reuter, Dirk","last_name":"Reuter","id":"37763"},{"first_name":"Artur","full_name":"Zrenner, Artur","orcid":"0000-0002-5190-0944","last_name":"Zrenner","id":"606"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"290"},{"_id":"292"},{"_id":"642"},{"_id":"230"},{"_id":"429"},{"_id":"35"}],"status":"public","project":[{"_id":"53","name":"TRR 142: TRR 142"},{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"},{"_id":"60","name":"TRR 142 - A3: TRR 142 - Subproject A3"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"date_created":"2023-01-26T15:38:28Z","_id":"40428","date_updated":"2023-04-20T15:18:48Z","doi":"10.5281/ZENODO.6024228","type":"research_data","citation":{"short":"B. Jonas, D.F. Heinze, E. Schöll, P. Kallert, T. Langer, S. Krehs, A. Widhalm, K. Jöns, D. Reuter, A. Zrenner, Nonlinear Down-Conversion in a Single Quantum Dot, LibreCat University, 2022.","ieee":"B. Jonas et al., Nonlinear down-conversion in a single quantum dot. LibreCat University, 2022.","ama":"Jonas B, Heinze DF, Schöll E, et al. Nonlinear Down-Conversion in a Single Quantum Dot. LibreCat University; 2022. doi:10.5281/ZENODO.6024228","apa":"Jonas, B., Heinze, D. F., Schöll, E., Kallert, P., Langer, T., Krehs, S., Widhalm, A., Jöns, K., Reuter, D., & Zrenner, A. (2022). Nonlinear down-conversion in a single quantum dot. LibreCat University. https://doi.org/10.5281/ZENODO.6024228","chicago":"Jonas, Björn, Dirk Florian Heinze, Eva Schöll, Patricia Kallert, Timo Langer, Sebastian Krehs, Alex Widhalm, Klaus Jöns, Dirk Reuter, and Artur Zrenner. Nonlinear Down-Conversion in a Single Quantum Dot. LibreCat University, 2022. https://doi.org/10.5281/ZENODO.6024228.","bibtex":"@book{Jonas_Heinze_Schöll_Kallert_Langer_Krehs_Widhalm_Jöns_Reuter_Zrenner_2022, title={Nonlinear down-conversion in a single quantum dot}, DOI={10.5281/ZENODO.6024228}, publisher={LibreCat University}, author={Jonas, Björn and Heinze, Dirk Florian and Schöll, Eva and Kallert, Patricia and Langer, Timo and Krehs, Sebastian and Widhalm, Alex and Jöns, Klaus and Reuter, Dirk and Zrenner, Artur}, year={2022} }","mla":"Jonas, Björn, et al. Nonlinear Down-Conversion in a Single Quantum Dot. LibreCat University, 2022, doi:10.5281/ZENODO.6024228."},"year":"2022"},{"language":[{"iso":"eng"}],"date_updated":"2023-04-20T15:33:52Z","doi":"10.1103/physrevb.104.085308","oa":"1","department":[{"_id":"61"},{"_id":"230"},{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"429"},{"_id":"623"},{"_id":"35"}],"publication_status":"published","publication_identifier":{"issn":["2469-9950","2469-9969"]},"project":[{"_id":"53","name":"TRR 142"},{"name":"TRR 142 - Project Area A","_id":"54"},{"name":"TRR 142 - Subproject A3","_id":"60"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"title":"Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots","year":"2021","type":"journal_article","citation":{"chicago":"Bauch, David, Dirk Florian Heinze, Jens Förstner, Klaus Jöns, and Stefan Schumacher. “Ultrafast Electric Control of Cavity Mediated Single-Photon and Photon-Pair Generation with Semiconductor Quantum Dots.” Physical Review B 104 (2021): 085308. https://doi.org/10.1103/physrevb.104.085308.","ama":"Bauch D, Heinze DF, Förstner J, Jöns K, Schumacher S. Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots. Physical Review B. 2021;104:085308. doi:10.1103/physrevb.104.085308","apa":"Bauch, D., Heinze, D. F., Förstner, J., Jöns, K., & Schumacher, S. (2021). Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots. Physical Review B, 104, 085308. https://doi.org/10.1103/physrevb.104.085308","mla":"Bauch, David, et al. “Ultrafast Electric Control of Cavity Mediated Single-Photon and Photon-Pair Generation with Semiconductor Quantum Dots.” Physical Review B, vol. 104, 2021, p. 085308, doi:10.1103/physrevb.104.085308.","bibtex":"@article{Bauch_Heinze_Förstner_Jöns_Schumacher_2021, title={Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots}, volume={104}, DOI={10.1103/physrevb.104.085308}, journal={Physical Review B}, author={Bauch, David and Heinze, Dirk Florian and Förstner, Jens and Jöns, Klaus and Schumacher, Stefan}, year={2021}, pages={085308} }","short":"D. Bauch, D.F. Heinze, J. Förstner, K. Jöns, S. Schumacher, Physical Review B 104 (2021) 085308.","ieee":"D. Bauch, D. F. Heinze, J. Förstner, K. Jöns, and S. Schumacher, “Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots,” Physical Review B, vol. 104, p. 085308, 2021, doi: 10.1103/physrevb.104.085308."},"page":"085308","_id":"23816","intvolume":" 104","author":[{"full_name":"Bauch, David","first_name":"David","last_name":"Bauch"},{"first_name":"Dirk Florian","full_name":"Heinze, Dirk Florian","last_name":"Heinze","id":"10904"},{"id":"158","last_name":"Förstner","full_name":"Förstner, Jens","orcid":"0000-0001-7059-9862","first_name":"Jens"},{"first_name":"Klaus","full_name":"Jöns, Klaus","last_name":"Jöns","id":"85353"},{"id":"27271","last_name":"Schumacher","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","first_name":"Stefan"}],"keyword":["tet_topic_qd"],"publication":"Physical Review B","file_date_updated":"2021-09-07T07:43:47Z","file":[{"content_type":"application/pdf","date_updated":"2021-09-07T07:43:47Z","relation":"main_file","file_size":887439,"creator":"fossie","file_id":"23818","access_level":"open_access","date_created":"2021-09-07T06:32:25Z","file_name":"2021-08 Bauch PhysRevB.104.085308.pdf"}],"volume":104,"has_accepted_license":"1","status":"public","date_created":"2021-09-06T18:02:44Z","abstract":[{"text":"Employing the ultrafast control of electronic states of a semiconductor quantum dot in a cavity, we introduce an approach to achieve on-demand emission of single photons with almost perfect indistinguishability and photon pairs with near ideal entanglement. Our scheme is based on optical excitation off resonant to a cavity mode followed by ultrafast control of the electronic states using the time-dependent quantum-confined Stark effect, which then allows for cavity-resonant emission. Our theoretical analysis considers cavity-loss mechanisms, the Stark effect, and phonon-induced dephasing, allowing realistic predictions for finite temperatures.","lang":"eng"}],"ddc":["530"],"user_id":"16199"},{"date_created":"2019-09-19T13:57:23Z","status":"public","volume":97,"publication":"Physical Review B","author":[{"full_name":"Breddermann, Dominik","first_name":"Dominik","last_name":"Breddermann"},{"first_name":"Tom","full_name":"Praschan, Tom","last_name":"Praschan"},{"full_name":"Heinze, Dirk Florian","first_name":"Dirk Florian","id":"10904","last_name":"Heinze"},{"last_name":"Binder","first_name":"Rolf","full_name":"Binder, Rolf"},{"orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan","first_name":"Stefan","id":"27271","last_name":"Schumacher"}],"user_id":"14931","citation":{"mla":"Breddermann, Dominik, et al. “Microscopic Theory of Cavity-Enhanced Single-Photon Emission from Optical Two-Photon Raman Processes.” Physical Review B, vol. 97, no. 12, 2018, doi:10.1103/physrevb.97.125303.","bibtex":"@article{Breddermann_Praschan_Heinze_Binder_Schumacher_2018, title={Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes}, volume={97}, DOI={10.1103/physrevb.97.125303}, number={12}, journal={Physical Review B}, author={Breddermann, Dominik and Praschan, Tom and Heinze, Dirk Florian and Binder, Rolf and Schumacher, Stefan}, year={2018} }","chicago":"Breddermann, Dominik, Tom Praschan, Dirk Florian Heinze, Rolf Binder, and Stefan Schumacher. “Microscopic Theory of Cavity-Enhanced Single-Photon Emission from Optical Two-Photon Raman Processes.” Physical Review B 97, no. 12 (2018). https://doi.org/10.1103/physrevb.97.125303.","apa":"Breddermann, D., Praschan, T., Heinze, D. F., Binder, R., & Schumacher, S. (2018). Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes. Physical Review B, 97(12). https://doi.org/10.1103/physrevb.97.125303","ama":"Breddermann D, Praschan T, Heinze DF, Binder R, Schumacher S. Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes. Physical Review B. 2018;97(12). doi:10.1103/physrevb.97.125303","ieee":"D. Breddermann, T. Praschan, D. F. Heinze, R. Binder, and S. Schumacher, “Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes,” Physical Review B, vol. 97, no. 12, 2018, doi: 10.1103/physrevb.97.125303.","short":"D. Breddermann, T. Praschan, D.F. Heinze, R. Binder, S. Schumacher, Physical Review B 97 (2018)."},"year":"2018","type":"journal_article","funded_apc":"1","issue":"12","_id":"13351","intvolume":" 97","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"53","name":"TRR 142: TRR 142"},{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"},{"_id":"60","name":"TRR 142 - A03: TRR 142 - Subproject A03"}],"publication_status":"published","publication_identifier":{"issn":["2469-9950","2469-9969"]},"department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"},{"_id":"429"}],"title":"Microscopic theory of cavity-enhanced single-photon emission from optical two-photon Raman processes","language":[{"iso":"eng"}],"doi":"10.1103/physrevb.97.125303","date_updated":"2023-02-10T16:42:49Z"},{"publication_status":"published","publication_identifier":{"issn":["2469-9950","2469-9969"]},"status":"public","date_created":"2020-09-09T13:56:53Z","author":[{"last_name":"Breddermann","first_name":"D.","full_name":"Breddermann, D."},{"full_name":"Heinze, Dirk Florian","first_name":"Dirk Florian","id":"10904","last_name":"Heinze"},{"last_name":"Binder","first_name":"R.","full_name":"Binder, R."},{"last_name":"Zrenner","id":"606","first_name":"Artur","full_name":"Zrenner, Artur","orcid":"0000-0002-5190-0944"},{"last_name":"Schumacher","id":"27271","first_name":"Stefan","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan"}],"publication":"Physical Review B","title":"All-optical tailoring of single-photon spectra in a quantum-dot microcavity system","user_id":"10904","citation":{"ieee":"D. Breddermann, D. F. Heinze, R. Binder, A. Zrenner, and S. Schumacher, “All-optical tailoring of single-photon spectra in a quantum-dot microcavity system,” Physical Review B, 2016.","short":"D. Breddermann, D.F. Heinze, R. Binder, A. Zrenner, S. Schumacher, Physical Review B (2016).","mla":"Breddermann, D., et al. “All-Optical Tailoring of Single-Photon Spectra in a Quantum-Dot Microcavity System.” Physical Review B, 2016, doi:10.1103/physrevb.94.165310.","bibtex":"@article{Breddermann_Heinze_Binder_Zrenner_Schumacher_2016, title={All-optical tailoring of single-photon spectra in a quantum-dot microcavity system}, DOI={10.1103/physrevb.94.165310}, journal={Physical Review B}, author={Breddermann, D. and Heinze, Dirk Florian and Binder, R. and Zrenner, Artur and Schumacher, Stefan}, year={2016} }","apa":"Breddermann, D., Heinze, D. F., Binder, R., Zrenner, A., & Schumacher, S. (2016). All-optical tailoring of single-photon spectra in a quantum-dot microcavity system. Physical Review B. https://doi.org/10.1103/physrevb.94.165310","ama":"Breddermann D, Heinze DF, Binder R, Zrenner A, Schumacher S. All-optical tailoring of single-photon spectra in a quantum-dot microcavity system. Physical Review B. 2016. doi:10.1103/physrevb.94.165310","chicago":"Breddermann, D., Dirk Florian Heinze, R. Binder, Artur Zrenner, and Stefan Schumacher. “All-Optical Tailoring of Single-Photon Spectra in a Quantum-Dot Microcavity System.” Physical Review B, 2016. https://doi.org/10.1103/physrevb.94.165310."},"type":"journal_article","year":"2016","language":[{"iso":"eng"}],"doi":"10.1103/physrevb.94.165310","date_updated":"2022-01-06T06:54:00Z","_id":"19210"},{"title":"A quantum dot single-photon source with on-the-fly all-optical polarization control and timed emission","user_id":"10904","publication_identifier":{"issn":["2041-1723"]},"publication_status":"published","status":"public","date_created":"2020-09-09T13:52:30Z","author":[{"last_name":"Heinze","id":"10904","first_name":"Dirk Florian","full_name":"Heinze, Dirk Florian"},{"full_name":"Breddermann, Dominik","first_name":"Dominik","last_name":"Breddermann"},{"orcid":"0000-0002-5190-0944","full_name":"Zrenner, Artur","first_name":"Artur","id":"606","last_name":"Zrenner"},{"id":"27271","last_name":"Schumacher","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","first_name":"Stefan"}],"publication":"Nature Communications","doi":"10.1038/ncomms9473","date_updated":"2022-01-06T06:54:00Z","_id":"19209","citation":{"short":"D.F. Heinze, D. Breddermann, A. Zrenner, S. Schumacher, Nature Communications (2015).","ieee":"D. F. Heinze, D. Breddermann, A. Zrenner, and S. Schumacher, “A quantum dot single-photon source with on-the-fly all-optical polarization control and timed emission,” Nature Communications, 2015.","apa":"Heinze, D. F., Breddermann, D., Zrenner, A., & Schumacher, S. (2015). A quantum dot single-photon source with on-the-fly all-optical polarization control and timed emission. Nature Communications. https://doi.org/10.1038/ncomms9473","ama":"Heinze DF, Breddermann D, Zrenner A, Schumacher S. A quantum dot single-photon source with on-the-fly all-optical polarization control and timed emission. Nature Communications. 2015. doi:10.1038/ncomms9473","chicago":"Heinze, Dirk Florian, Dominik Breddermann, Artur Zrenner, and Stefan Schumacher. “A Quantum Dot Single-Photon Source with on-the-Fly All-Optical Polarization Control and Timed Emission.” Nature Communications, 2015. https://doi.org/10.1038/ncomms9473.","mla":"Heinze, Dirk Florian, et al. “A Quantum Dot Single-Photon Source with on-the-Fly All-Optical Polarization Control and Timed Emission.” Nature Communications, 2015, doi:10.1038/ncomms9473.","bibtex":"@article{Heinze_Breddermann_Zrenner_Schumacher_2015, title={A quantum dot single-photon source with on-the-fly all-optical polarization control and timed emission}, DOI={10.1038/ncomms9473}, journal={Nature Communications}, author={Heinze, Dirk Florian and Breddermann, Dominik and Zrenner, Artur and Schumacher, Stefan}, year={2015} }"},"type":"journal_article","year":"2015","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"date_updated":"2023-03-26T21:11:50Z","doi":"10.1088/0953-8984/27/44/445501","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"297"},{"_id":"230"}],"project":[{"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","_id":"52"}],"publication_status":"published","publication_identifier":{"issn":["0953-8984","1361-648X"]},"title":"Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling","funded_apc":"1","type":"journal_article","year":"2015","citation":{"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={10.1088/0953-8984/27/44/445501}, 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} }","mla":"Liu, Hong, et al. “Curvature Effects in the Band Structure of Carbon Nanotubes Including Spin–Orbit Coupling.” Journal of Physics: Condensed Matter, vol. 27, no. 44, 445501, 2015, doi:10.1088/0953-8984/27/44/445501.","apa":"Liu, H., Heinze, D. F., Thanh Duc, H., Schumacher, S., & Meier, T. (2015). Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling. Journal of Physics: Condensed Matter, 27(44), Article 445501. https://doi.org/10.1088/0953-8984/27/44/445501","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. Journal of Physics: Condensed Matter. 2015;27(44). doi:10.1088/0953-8984/27/44/445501","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.” Journal of Physics: Condensed Matter 27, no. 44 (2015). https://doi.org/10.1088/0953-8984/27/44/445501.","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,” Journal of Physics: Condensed Matter, vol. 27, no. 44, Art. no. 445501, 2015, doi: 10.1088/0953-8984/27/44/445501.","short":"H. Liu, D.F. Heinze, H. Thanh Duc, S. Schumacher, T. Meier, Journal of Physics: Condensed Matter 27 (2015)."},"_id":"13922","intvolume":" 27","issue":"44","article_number":"445501","publication":"Journal of Physics: Condensed Matter","author":[{"first_name":"Hong","full_name":"Liu, Hong","last_name":"Liu"},{"id":"10904","last_name":"Heinze","full_name":"Heinze, Dirk Florian","first_name":"Dirk Florian"},{"last_name":"Thanh Duc","full_name":"Thanh Duc, Huynh","first_name":"Huynh"},{"first_name":"Stefan","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","id":"27271"},{"id":"344","last_name":"Meier","full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072","first_name":"Torsten"}],"date_created":"2019-10-18T08:55:01Z","status":"public","volume":27,"user_id":"49063"},{"language":[{"iso":"eng"}],"date_updated":"2023-04-16T21:25:28Z","doi":"10.1088/0953-8984/27/44/445501","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"297"},{"_id":"230"}],"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"publication_identifier":{"issn":["0953-8984","1361-648X"]},"publication_status":"published","title":"Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling","citation":{"short":"H. Liu, D.F. Heinze, H. Thanh Duc, S. Schumacher, T. Meier, Journal of Physics: Condensed Matter 27 (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,” Journal of Physics: Condensed Matter, vol. 27, no. 44, Art. no. 445501, 2015, doi: 10.1088/0953-8984/27/44/445501.","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. Journal of Physics: Condensed Matter. 2015;27(44). doi:10.1088/0953-8984/27/44/445501","apa":"Liu, H., Heinze, D. F., Thanh Duc, H., Schumacher, S., & Meier, T. (2015). Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling. Journal of Physics: Condensed Matter, 27(44), Article 445501. https://doi.org/10.1088/0953-8984/27/44/445501","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.” Journal of Physics: Condensed Matter 27, no. 44 (2015). https://doi.org/10.1088/0953-8984/27/44/445501.","mla":"Liu, Hong, et al. “Curvature Effects in the Band Structure of Carbon Nanotubes Including Spin–Orbit Coupling.” Journal of Physics: Condensed Matter, vol. 27, no. 44, 445501, 2015, doi:10.1088/0953-8984/27/44/445501.","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={10.1088/0953-8984/27/44/445501}, 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} }"},"year":"2015","type":"journal_article","_id":"22946","intvolume":" 27","issue":"44","article_number":"445501","author":[{"full_name":"Liu, Hong","first_name":"Hong","last_name":"Liu"},{"last_name":"Heinze","id":"10904","first_name":"Dirk Florian","full_name":"Heinze, Dirk Florian"},{"full_name":"Thanh Duc, Huynh","first_name":"Huynh","last_name":"Thanh Duc"},{"first_name":"Stefan","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan","last_name":"Schumacher","id":"27271"},{"last_name":"Meier","id":"344","first_name":"Torsten","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten"}],"publication":"Journal of Physics: Condensed Matter","status":"public","date_created":"2021-08-06T08:49:10Z","volume":27,"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 $\\text{mod}(2n+m,3)$ ."}],"user_id":"49063"}]