[{"publication":"physica status solidi (b)","issue":"8","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Two slightly different, efficient tight‐binding (TB) models for the description of the electronic properties of nitride‐based semiconductor quantum dots (QDs) have been developed and applied to the calculation of the electronic one‐particle spectrum of these structures. Using these one‐particle QD‐states, dipole and Coulomb matrix elements can be calculated, from which the optical properties of these systems can be obtained. These TB calculations have been performed for nitride‐based QDs with a cubic zincblende structure and those with a wurtzite crystal structure. In this paper, we discuss the general methodology used and the results obtained for the electronic one‐particle states and energies, for the dipole and Coulomb matrix elements, and for the excitonic optical emission and absorption spectra.</jats:p>"}],"date_created":"2025-12-05T15:08:01Z","type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"35"},{"_id":"230"}],"title":"Tight‐binding model for the electronic and optical properties of nitride‐based quantum dots","year":"2011","author":[{"first_name":"S.","last_name":"Schulz","full_name":"Schulz, S."},{"full_name":"Mourad, D.","last_name":"Mourad","first_name":"D."},{"full_name":"Schumacher, Stefan","last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan","id":"27271"},{"full_name":"Czycholl, G.","first_name":"G.","last_name":"Czycholl"}],"publication_identifier":{"issn":["0370-1972","1521-3951"]},"publication_status":"published","date_updated":"2025-12-05T15:08:40Z","intvolume":"       248","language":[{"iso":"eng"}],"doi":"10.1002/pssb.201147158","citation":{"ieee":"S. Schulz, D. Mourad, S. Schumacher, and G. Czycholl, “Tight‐binding model for the electronic and optical properties of nitride‐based quantum dots,” <i>physica status solidi (b)</i>, vol. 248, no. 8, pp. 1853–1866, 2011, doi: <a href=\"https://doi.org/10.1002/pssb.201147158\">10.1002/pssb.201147158</a>.","apa":"Schulz, S., Mourad, D., Schumacher, S., &#38; Czycholl, G. (2011). Tight‐binding model for the electronic and optical properties of nitride‐based quantum dots. <i>Physica Status Solidi (b)</i>, <i>248</i>(8), 1853–1866. <a href=\"https://doi.org/10.1002/pssb.201147158\">https://doi.org/10.1002/pssb.201147158</a>","short":"S. Schulz, D. Mourad, S. Schumacher, G. Czycholl, Physica Status Solidi (b) 248 (2011) 1853–1866.","chicago":"Schulz, S., D. Mourad, Stefan Schumacher, and G. Czycholl. “Tight‐binding Model for the Electronic and Optical Properties of Nitride‐based Quantum Dots.” <i>Physica Status Solidi (b)</i> 248, no. 8 (2011): 1853–66. <a href=\"https://doi.org/10.1002/pssb.201147158\">https://doi.org/10.1002/pssb.201147158</a>.","mla":"Schulz, S., et al. “Tight‐binding Model for the Electronic and Optical Properties of Nitride‐based Quantum Dots.” <i>Physica Status Solidi (b)</i>, vol. 248, no. 8, Wiley, 2011, pp. 1853–66, doi:<a href=\"https://doi.org/10.1002/pssb.201147158\">10.1002/pssb.201147158</a>.","bibtex":"@article{Schulz_Mourad_Schumacher_Czycholl_2011, title={Tight‐binding model for the electronic and optical properties of nitride‐based quantum dots}, volume={248}, DOI={<a href=\"https://doi.org/10.1002/pssb.201147158\">10.1002/pssb.201147158</a>}, number={8}, journal={physica status solidi (b)}, publisher={Wiley}, author={Schulz, S. and Mourad, D. and Schumacher, Stefan and Czycholl, G.}, year={2011}, pages={1853–1866} }","ama":"Schulz S, Mourad D, Schumacher S, Czycholl G. Tight‐binding model for the electronic and optical properties of nitride‐based quantum dots. <i>physica status solidi (b)</i>. 2011;248(8):1853-1866. doi:<a href=\"https://doi.org/10.1002/pssb.201147158\">10.1002/pssb.201147158</a>"},"status":"public","page":"1853-1866","publisher":"Wiley","_id":"62929","user_id":"16199","volume":248},{"status":"public","user_id":"16199","volume":115,"page":"2913-2919","_id":"62928","publisher":"American Chemical Society (ACS)","citation":{"bibtex":"@article{Montgomery_Denis_Schumacher_Ruseckas_Skabara_Kanibolotsky_Paterson_Galbraith_Turnbull_Samuel_2011, title={Optical Excitations in Star-Shaped Fluorene Molecules}, volume={115}, DOI={<a href=\"https://doi.org/10.1021/jp1109042\">10.1021/jp1109042</a>}, number={14}, journal={The Journal of Physical Chemistry A}, publisher={American Chemical Society (ACS)}, author={Montgomery, Neil A. and Denis, Jean-Christophe and Schumacher, Stefan and Ruseckas, Arvydas and Skabara, Peter J. and Kanibolotsky, Alexander and Paterson, Martin J. and Galbraith, Ian and Turnbull, Graham A. and Samuel, Ifor D. W.}, year={2011}, pages={2913–2919} }","ama":"Montgomery NA, Denis J-C, Schumacher S, et al. Optical Excitations in Star-Shaped Fluorene Molecules. <i>The Journal of Physical Chemistry A</i>. 2011;115(14):2913-2919. doi:<a href=\"https://doi.org/10.1021/jp1109042\">10.1021/jp1109042</a>","mla":"Montgomery, Neil A., et al. “Optical Excitations in Star-Shaped Fluorene Molecules.” <i>The Journal of Physical Chemistry A</i>, vol. 115, no. 14, American Chemical Society (ACS), 2011, pp. 2913–19, doi:<a href=\"https://doi.org/10.1021/jp1109042\">10.1021/jp1109042</a>.","chicago":"Montgomery, Neil A., Jean-Christophe Denis, Stefan Schumacher, Arvydas Ruseckas, Peter J. Skabara, Alexander Kanibolotsky, Martin J. Paterson, Ian Galbraith, Graham A. Turnbull, and Ifor D. W. Samuel. “Optical Excitations in Star-Shaped Fluorene Molecules.” <i>The Journal of Physical Chemistry A</i> 115, no. 14 (2011): 2913–19. <a href=\"https://doi.org/10.1021/jp1109042\">https://doi.org/10.1021/jp1109042</a>.","short":"N.A. Montgomery, J.-C. Denis, S. Schumacher, A. Ruseckas, P.J. Skabara, A. Kanibolotsky, M.J. Paterson, I. Galbraith, G.A. Turnbull, I.D.W. Samuel, The Journal of Physical Chemistry A 115 (2011) 2913–2919.","ieee":"N. A. Montgomery <i>et al.</i>, “Optical Excitations in Star-Shaped Fluorene Molecules,” <i>The Journal of Physical Chemistry A</i>, vol. 115, no. 14, pp. 2913–2919, 2011, doi: <a href=\"https://doi.org/10.1021/jp1109042\">10.1021/jp1109042</a>.","apa":"Montgomery, N. A., Denis, J.-C., Schumacher, S., Ruseckas, A., Skabara, P. J., Kanibolotsky, A., Paterson, M. J., Galbraith, I., Turnbull, G. A., &#38; Samuel, I. D. W. (2011). Optical Excitations in Star-Shaped Fluorene Molecules. <i>The Journal of Physical Chemistry A</i>, <i>115</i>(14), 2913–2919. <a href=\"https://doi.org/10.1021/jp1109042\">https://doi.org/10.1021/jp1109042</a>"},"publication_status":"published","date_updated":"2025-12-05T15:07:33Z","intvolume":"       115","title":"Optical Excitations in Star-Shaped Fluorene Molecules","year":"2011","publication_identifier":{"issn":["1089-5639","1520-5215"]},"author":[{"last_name":"Montgomery","first_name":"Neil A.","full_name":"Montgomery, Neil A."},{"first_name":"Jean-Christophe","last_name":"Denis","full_name":"Denis, Jean-Christophe"},{"id":"27271","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","first_name":"Stefan","last_name":"Schumacher"},{"last_name":"Ruseckas","first_name":"Arvydas","full_name":"Ruseckas, Arvydas"},{"first_name":"Peter J.","last_name":"Skabara","full_name":"Skabara, Peter J."},{"full_name":"Kanibolotsky, Alexander","first_name":"Alexander","last_name":"Kanibolotsky"},{"last_name":"Paterson","first_name":"Martin J.","full_name":"Paterson, Martin J."},{"full_name":"Galbraith, Ian","last_name":"Galbraith","first_name":"Ian"},{"full_name":"Turnbull, Graham A.","first_name":"Graham A.","last_name":"Turnbull"},{"last_name":"Samuel","first_name":"Ifor D. W.","full_name":"Samuel, Ifor D. W."}],"doi":"10.1021/jp1109042","language":[{"iso":"eng"}],"issue":"14","publication":"The Journal of Physical Chemistry A","type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"35"},{"_id":"230"}],"date_created":"2025-12-05T15:06:48Z"},{"language":[{"iso":"eng"}],"article_number":"245407","doi":"10.1103/physrevb.81.245407","author":[{"id":"27271","first_name":"Stefan","last_name":"Schumacher","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan"},{"first_name":"Ian","last_name":"Galbraith","full_name":"Galbraith, Ian"},{"full_name":"Ruseckas, Arvydas","last_name":"Ruseckas","first_name":"Arvydas"},{"full_name":"Turnbull, Graham A.","last_name":"Turnbull","first_name":"Graham A."},{"full_name":"Samuel, Ifor D. W.","last_name":"Samuel","first_name":"Ifor D. 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W.}, year={2010} }","ama":"Schumacher S, Galbraith I, Ruseckas A, Turnbull GA, Samuel IDW. Dynamics of photoexcitation and stimulated optical emission in conjugated polymers: A multiscale quantum-chemistry and Maxwell-Bloch-equations approach. <i>Physical Review B</i>. 2010;81(24). doi:<a href=\"https://doi.org/10.1103/physrevb.81.245407\">10.1103/physrevb.81.245407</a>","ieee":"S. Schumacher, I. Galbraith, A. Ruseckas, G. A. Turnbull, and I. D. W. Samuel, “Dynamics of photoexcitation and stimulated optical emission in conjugated polymers: A multiscale quantum-chemistry and Maxwell-Bloch-equations approach,” <i>Physical Review B</i>, vol. 81, no. 24, Art. no. 245407, 2010, doi: <a href=\"https://doi.org/10.1103/physrevb.81.245407\">10.1103/physrevb.81.245407</a>.","apa":"Schumacher, S., Galbraith, I., Ruseckas, A., Turnbull, G. A., &#38; Samuel, I. D. W. (2010). Dynamics of photoexcitation and stimulated optical emission in conjugated polymers: A multiscale quantum-chemistry and Maxwell-Bloch-equations approach. <i>Physical Review B</i>, <i>81</i>(24), Article 245407. <a href=\"https://doi.org/10.1103/physrevb.81.245407\">https://doi.org/10.1103/physrevb.81.245407</a>","short":"S. Schumacher, I. Galbraith, A. Ruseckas, G.A. Turnbull, I.D.W. Samuel, Physical Review B 81 (2010).","chicago":"Schumacher, Stefan, Ian Galbraith, Arvydas Ruseckas, Graham A. Turnbull, and Ifor D. W. Samuel. “Dynamics of Photoexcitation and Stimulated Optical Emission in Conjugated Polymers: A Multiscale Quantum-Chemistry and Maxwell-Bloch-Equations Approach.” <i>Physical Review B</i> 81, no. 24 (2010). <a href=\"https://doi.org/10.1103/physrevb.81.245407\">https://doi.org/10.1103/physrevb.81.245407</a>."}},{"date_updated":"2025-12-16T08:02:49Z","publication_status":"published","status":"public","title":"Dynamics of photoexcitation and stimulated optical emission in conjugated polymers: A multiscale quantum-chemistry and Maxwell-Bloch-equations approach","year":"2010","publication_identifier":{"issn":["1098-0121","1550-235X"]},"author":[{"full_name":"Schumacher, Stefan","last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan","id":"27271"},{"last_name":"Galbraith","first_name":"Ian","full_name":"Galbraith, Ian"},{"full_name":"Ruseckas, Arvydas","first_name":"Arvydas","last_name":"Ruseckas"},{"first_name":"Graham A.","last_name":"Turnbull","full_name":"Turnbull, Graham A."},{"first_name":"Ifor D. W.","last_name":"Samuel","full_name":"Samuel, Ifor D. W."}],"doi":"10.1103/physrevb.81.245407","user_id":"16199","_id":"15846","language":[{"iso":"eng"}],"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"publication":"Physical Review B","citation":{"ieee":"S. Schumacher, I. Galbraith, A. Ruseckas, G. A. Turnbull, and I. D. W. Samuel, “Dynamics of photoexcitation and stimulated optical emission in conjugated polymers: A multiscale quantum-chemistry and Maxwell-Bloch-equations approach,” <i>Physical Review B</i>, 2010, doi: <a href=\"https://doi.org/10.1103/physrevb.81.245407\">10.1103/physrevb.81.245407</a>.","apa":"Schumacher, S., Galbraith, I., Ruseckas, A., Turnbull, G. A., &#38; Samuel, I. D. W. (2010). Dynamics of photoexcitation and stimulated optical emission in conjugated polymers: A multiscale quantum-chemistry and Maxwell-Bloch-equations approach. <i>Physical Review B</i>. <a href=\"https://doi.org/10.1103/physrevb.81.245407\">https://doi.org/10.1103/physrevb.81.245407</a>","short":"S. Schumacher, I. Galbraith, A. Ruseckas, G.A. Turnbull, I.D.W. Samuel, Physical Review B (2010).","chicago":"Schumacher, Stefan, Ian Galbraith, Arvydas Ruseckas, Graham A. Turnbull, and Ifor D. W. 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W.}, year={2010} }","ama":"Schumacher S, Galbraith I, Ruseckas A, Turnbull GA, Samuel IDW. Dynamics of photoexcitation and stimulated optical emission in conjugated polymers: A multiscale quantum-chemistry and Maxwell-Bloch-equations approach. <i>Physical Review B</i>. Published online 2010. doi:<a href=\"https://doi.org/10.1103/physrevb.81.245407\">10.1103/physrevb.81.245407</a>"},"type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"35"},{"_id":"230"},{"_id":"27"}],"date_created":"2020-02-10T11:19:35Z"},{"date_created":"2020-02-10T11:21:01Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"35"},{"_id":"230"},{"_id":"27"}],"type":"journal_article","citation":{"ieee":"N. H. Kwong, S. Schumacher, and R. Binder, “Electron-Spin Beat Susceptibility of Excitons in Semiconductor Quantum Wells,” <i>Physical Review Letters</i>, 2009, doi: <a href=\"https://doi.org/10.1103/physrevlett.103.056405\">10.1103/physrevlett.103.056405</a>.","apa":"Kwong, N. H., Schumacher, S., &#38; Binder, R. (2009). Electron-Spin Beat Susceptibility of Excitons in Semiconductor Quantum Wells. <i>Physical Review Letters</i>. <a href=\"https://doi.org/10.1103/physrevlett.103.056405\">https://doi.org/10.1103/physrevlett.103.056405</a>","mla":"Kwong, N. H., et al. “Electron-Spin Beat Susceptibility of Excitons in Semiconductor Quantum Wells.” <i>Physical Review Letters</i>, 2009, doi:<a href=\"https://doi.org/10.1103/physrevlett.103.056405\">10.1103/physrevlett.103.056405</a>.","bibtex":"@article{Kwong_Schumacher_Binder_2009, title={Electron-Spin Beat Susceptibility of Excitons in Semiconductor Quantum Wells}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.103.056405\">10.1103/physrevlett.103.056405</a>}, journal={Physical Review Letters}, author={Kwong, N. H. and Schumacher, Stefan and Binder, R.}, year={2009} }","chicago":"Kwong, N. H., Stefan Schumacher, and R. Binder. “Electron-Spin Beat Susceptibility of Excitons in Semiconductor Quantum Wells.” <i>Physical Review Letters</i>, 2009. <a href=\"https://doi.org/10.1103/physrevlett.103.056405\">https://doi.org/10.1103/physrevlett.103.056405</a>.","short":"N.H. Kwong, S. Schumacher, R. Binder, Physical Review Letters (2009).","ama":"Kwong NH, Schumacher S, Binder R. 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High harmonics generated in semiconductor nanostructures by the coupled dynamics of optical inter- and intraband excitations. <i>Physical Review B</i>. 2008;77(7). doi:<a href=\"https://doi.org/10.1103/physrevb.77.075330\">10.1103/physrevb.77.075330</a>","bibtex":"@article{Golde_Meier_Koch_2008, title={High harmonics generated in semiconductor nanostructures by the coupled dynamics of optical inter- and intraband excitations}, volume={77}, DOI={<a href=\"https://doi.org/10.1103/physrevb.77.075330\">10.1103/physrevb.77.075330</a>}, number={7075330}, journal={Physical Review B}, author={Golde, D. and Meier, T. and Koch, S. W.}, year={2008} }","mla":"Golde, D., et al. “High Harmonics Generated in Semiconductor Nanostructures by the Coupled Dynamics of Optical Inter- and Intraband Excitations.” <i>Physical Review B</i>, vol. 77, no. 7, 075330, 2008, doi:<a href=\"https://doi.org/10.1103/physrevb.77.075330\">10.1103/physrevb.77.075330</a>.","chicago":"Golde, D., T. Meier, and S. W. Koch. “High Harmonics Generated in Semiconductor Nanostructures by the Coupled Dynamics of Optical Inter- and Intraband Excitations.” <i>Physical Review B</i> 77, no. 7 (2008). <a href=\"https://doi.org/10.1103/physrevb.77.075330\">https://doi.org/10.1103/physrevb.77.075330</a>.","short":"D. Golde, T. Meier, S.W. Koch, Physical Review B 77 (2008).","apa":"Golde, D., Meier, T., &#38; Koch, S. W. (2008). High harmonics generated in semiconductor nanostructures by the coupled dynamics of optical inter- and intraband excitations. <i>Physical Review B</i>, <i>77</i>(7), Article 075330. <a href=\"https://doi.org/10.1103/physrevb.77.075330\">https://doi.org/10.1103/physrevb.77.075330</a>","ieee":"D. Golde, T. Meier, and S. W. 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I. and Gutowski, J. and Gust, A. and Alexe, G. and Hommel, D.}, year={2005} }","ama":"Schumacher S, Czycholl G, Jahnke F, et al. Polariton propagation in shallow-confinement heterostructures: Microscopic theory and experiment showing the breakdown of the dead-layer concept. <i>Physical Review B</i>. Published online 2005. doi:<a href=\"https://doi.org/10.1103/physrevb.70.235340\">10.1103/physrevb.70.235340</a>","ieee":"S. Schumacher <i>et al.</i>, “Polariton propagation in shallow-confinement heterostructures: Microscopic theory and experiment showing the breakdown of the dead-layer concept,” <i>Physical Review B</i>, 2005, doi: <a href=\"https://doi.org/10.1103/physrevb.70.235340\">10.1103/physrevb.70.235340</a>.","apa":"Schumacher, S., Czycholl, G., Jahnke, F., Kudyk, I., Rückmann, H. I., Gutowski, J., Gust, A., Alexe, G., &#38; Hommel, D. (2005). Polariton propagation in shallow-confinement heterostructures: Microscopic theory and experiment showing the breakdown of the dead-layer concept. <i>Physical Review B</i>. <a href=\"https://doi.org/10.1103/physrevb.70.235340\">https://doi.org/10.1103/physrevb.70.235340</a>","chicago":"Schumacher, Stefan, G. Czycholl, F. Jahnke, I. Kudyk, H. I. Rückmann, J. Gutowski, A. Gust, G. Alexe, and D. Hommel. “Polariton Propagation in Shallow-Confinement Heterostructures: Microscopic Theory and Experiment Showing the Breakdown of the Dead-Layer Concept.” <i>Physical Review B</i>, 2005. <a href=\"https://doi.org/10.1103/physrevb.70.235340\">https://doi.org/10.1103/physrevb.70.235340</a>.","short":"S. Schumacher, G. Czycholl, F. Jahnke, I. Kudyk, H.I. Rückmann, J. Gutowski, A. Gust, G. Alexe, D. Hommel, Physical Review B (2005)."}},{"doi":"10.1103/physrevb.72.081308","user_id":"16199","_id":"15850","language":[{"iso":"eng"}],"date_updated":"2025-12-16T08:01:29Z","publication_status":"published","year":"2005","status":"public","title":"Coherent propagation of polaritons in semiconductor heterostructures: Nonlinear pulse transmission in theory and experiment","author":[{"first_name":"Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","full_name":"Schumacher, Stefan","id":"27271"},{"full_name":"Czycholl, G.","first_name":"G.","last_name":"Czycholl"},{"first_name":"F.","last_name":"Jahnke","full_name":"Jahnke, F."},{"full_name":"Kudyk, I.","last_name":"Kudyk","first_name":"I."},{"first_name":"L.","last_name":"Wischmeier","full_name":"Wischmeier, L."},{"first_name":"I.","last_name":"Rückmann","full_name":"Rückmann, I."},{"full_name":"Voss, T.","first_name":"T.","last_name":"Voss"},{"first_name":"J.","last_name":"Gutowski","full_name":"Gutowski, J."},{"first_name":"A.","last_name":"Gust","full_name":"Gust, A."},{"full_name":"Hommel, D.","first_name":"D.","last_name":"Hommel"}],"publication_identifier":{"issn":["1098-0121","1550-235X"]},"type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"35"},{"_id":"230"},{"_id":"27"}],"date_created":"2020-02-10T11:25:36Z","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"publication":"Physical Review B","citation":{"mla":"Schumacher, Stefan, et al. “Coherent Propagation of Polaritons in Semiconductor Heterostructures: Nonlinear Pulse Transmission in Theory and Experiment.” <i>Physical Review B</i>, 2005, doi:<a href=\"https://doi.org/10.1103/physrevb.72.081308\">10.1103/physrevb.72.081308</a>.","ama":"Schumacher S, Czycholl G, Jahnke F, et al. 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Coherent propagation of polaritons in semiconductor heterostructures: Nonlinear pulse transmission in theory and experiment. <i>Physical Review B</i>. <a href=\"https://doi.org/10.1103/physrevb.72.081308\">https://doi.org/10.1103/physrevb.72.081308</a>","ieee":"S. Schumacher <i>et al.</i>, “Coherent propagation of polaritons in semiconductor heterostructures: Nonlinear pulse transmission in theory and experiment,” <i>Physical Review B</i>, 2005, doi: <a href=\"https://doi.org/10.1103/physrevb.72.081308\">10.1103/physrevb.72.081308</a>.","short":"S. Schumacher, G. Czycholl, F. Jahnke, I. Kudyk, L. Wischmeier, I. Rückmann, T. Voss, J. Gutowski, A. Gust, D. Hommel, Physical Review B (2005).","chicago":"Schumacher, Stefan, G. Czycholl, F. Jahnke, I. Kudyk, L. Wischmeier, I. Rückmann, T. Voss, J. Gutowski, A. Gust, and D. Hommel. “Coherent Propagation of Polaritons in Semiconductor Heterostructures: Nonlinear Pulse Transmission in Theory and Experiment.” <i>Physical Review B</i>, 2005. <a href=\"https://doi.org/10.1103/physrevb.72.081308\">https://doi.org/10.1103/physrevb.72.081308</a>."}}]