[{"external_id":{"isi":["000306270700001"],"pmid":["22773268"]},"quality_controlled":"1","file_date_updated":"2020-08-30T15:00:14Z","isi":"1","citation":{"mla":"Friedrich, Christoph, et al. “Hybrid Functionals and GW Approximation in the FLAPW Method.” <i>Journal of Physics: Condensed Matter</i>, vol. 24, no. 29, 293201, IOP Publishing, 2012, doi:<a href=\"https://doi.org/10.1088/0953-8984/24/29/293201\">10.1088/0953-8984/24/29/293201</a>.","bibtex":"@article{Friedrich_Betzinger_Schlipf_Blügel_Schindlmayr_2012, title={Hybrid functionals and GW approximation in the FLAPW method}, volume={24}, DOI={<a href=\"https://doi.org/10.1088/0953-8984/24/29/293201\">10.1088/0953-8984/24/29/293201</a>}, number={29293201}, journal={Journal of Physics: Condensed Matter}, publisher={IOP Publishing}, author={Friedrich, Christoph and Betzinger, Markus and Schlipf, Martin and Blügel, Stefan and Schindlmayr, Arno}, year={2012} }","ama":"Friedrich C, Betzinger M, Schlipf M, Blügel S, Schindlmayr A. Hybrid functionals and GW approximation in the FLAPW method. <i>Journal of Physics: Condensed Matter</i>. 2012;24(29). doi:<a href=\"https://doi.org/10.1088/0953-8984/24/29/293201\">10.1088/0953-8984/24/29/293201</a>","ieee":"C. Friedrich, M. Betzinger, M. Schlipf, S. Blügel, and A. Schindlmayr, “Hybrid functionals and GW approximation in the FLAPW method,” <i>Journal of Physics: Condensed Matter</i>, vol. 24, no. 29, Art. no. 293201, 2012, doi: <a href=\"https://doi.org/10.1088/0953-8984/24/29/293201\">10.1088/0953-8984/24/29/293201</a>.","apa":"Friedrich, C., Betzinger, M., Schlipf, M., Blügel, S., &#38; Schindlmayr, A. (2012). Hybrid functionals and GW approximation in the FLAPW method. <i>Journal of Physics: Condensed Matter</i>, <i>24</i>(29), Article 293201. <a href=\"https://doi.org/10.1088/0953-8984/24/29/293201\">https://doi.org/10.1088/0953-8984/24/29/293201</a>","short":"C. Friedrich, M. Betzinger, M. Schlipf, S. Blügel, A. Schindlmayr, Journal of Physics: Condensed Matter 24 (2012).","chicago":"Friedrich, Christoph, Markus Betzinger, Martin Schlipf, Stefan Blügel, and Arno Schindlmayr. “Hybrid Functionals and GW Approximation in the FLAPW Method.” <i>Journal of Physics: Condensed Matter</i> 24, no. 29 (2012). <a href=\"https://doi.org/10.1088/0953-8984/24/29/293201\">https://doi.org/10.1088/0953-8984/24/29/293201</a>."},"ddc":["530"],"user_id":"16199","volume":24,"publisher":"IOP Publishing","_id":"18542","has_accepted_license":"1","status":"public","type":"journal_article","department":[{"_id":"296"},{"_id":"35"},{"_id":"15"},{"_id":"170"},{"_id":"230"}],"file":[{"file_name":"Friedrich_2012_J._Phys. _Condens._Matter_24_293201.pdf","file_size":1059896,"access_level":"closed","relation":"main_file","date_updated":"2020-08-30T15:00:14Z","file_id":"18580","content_type":"application/pdf","title":"Hybrid functionals and GW approximation in the FLAPW method","creator":"schindlm","date_created":"2020-08-28T14:30:29Z","description":"© 2012 IOP Publishing Ltd"}],"date_created":"2020-08-28T10:14:44Z","abstract":[{"text":"We present recent advances in numerical implementations of hybrid functionals and the GW approximation within the full-potential linearized augmented-plane-wave (FLAPW) method. The former is an approximation for the exchange–correlation contribution to the total energy functional in density-functional theory, and the latter is an approximation for the electronic self-energy in the framework of many-body perturbation theory. All implementations employ the mixed product basis, which has evolved into a versatile basis for the products of wave functions, describing the incoming and outgoing states of an electron that is scattered by interacting with another electron. It can thus be used for representing the nonlocal potential in hybrid functionals as well as the screened interaction and related quantities in GW calculations. In particular, the six-dimensional space integrals of the Hamiltonian exchange matrix elements (and exchange self-energy) decompose into sums over vector–matrix–vector products, which can be evaluated easily. The correlation part of the GW self-energy, which contains a time or frequency dependence, is calculated on the imaginary frequency axis with a subsequent analytic continuation to the real axis or, alternatively, by a direct frequency convolution of the Green function G and the dynamically screened Coulomb interaction W along a contour integration path that avoids the poles of the Green function. Hybrid-functional and GW calculations are notoriously computationally expensive. We present a number of tricks that reduce the computational cost considerably, including the use of spatial and time-reversal symmetries, modifications of the mixed product basis with the aim to optimize it for the correlation self-energy and another modification that makes the Coulomb matrix sparse, analytic expansions of the interaction potentials around the point of divergence at k=0, and a nested density and density-matrix convergence scheme for hybrid-functional calculations. We show CPU timings for prototype semiconductors and illustrative results for GdN and ZnO. ","lang":"eng"}],"issue":"29","publication":"Journal of Physics: Condensed Matter","pmid":"1","doi":"10.1088/0953-8984/24/29/293201","article_number":"293201","language":[{"iso":"eng"}],"date_updated":"2025-12-16T08:09:33Z","publication_status":"published","intvolume":"        24","article_type":"review","year":"2012","title":"Hybrid functionals and GW approximation in the FLAPW method","author":[{"full_name":"Friedrich, Christoph","last_name":"Friedrich","first_name":"Christoph"},{"last_name":"Betzinger","first_name":"Markus","full_name":"Betzinger, Markus"},{"full_name":"Schlipf, Martin","last_name":"Schlipf","first_name":"Martin"},{"full_name":"Blügel, Stefan","last_name":"Blügel","first_name":"Stefan"},{"full_name":"Schindlmayr, Arno","first_name":"Arno","orcid":"0000-0002-4855-071X","last_name":"Schindlmayr","id":"458"}],"publication_identifier":{"issn":["0953-8984"],"eissn":["1361-648X"]}},{"file":[{"date_created":"2018-08-23T13:01:13Z","creator":"hclaudia","file_id":"4105","success":1,"content_type":"application/pdf","file_name":"Growth of cubic GaN on 3C-SiC-Si 001 nanostructures.pdf","access_level":"closed","file_size":3716730,"relation":"main_file","date_updated":"2018-08-23T13:01:13Z"}],"date_created":"2018-08-23T12:59:44Z","type":"journal_article","department":[{"_id":"15"},{"_id":"286"},{"_id":"35"},{"_id":"230"}],"publication":"Journal of Crystal Growth","abstract":[{"lang":"eng","text":"We report on the molecular beam epitaxy growth of cubic GaN on 3C–SiC (001) nanostructures. Transmission electron microscopy (TEM) studies show phase-pure cubic GaN crystals with a low defect density on top of the post shaped 3C–SiC nanostructures and GaN grown on their sidewalls, which is dominated by {111} planar defects. The nanostructures, aligned parallel and perpendicular to the [110] directions of the substrate, are located in anti-phase domains of the 3C–SiC/Si (001) substrate. These anti-phase domains strongly influence the optimum growth of GaN layers in these regions. TEM measurements demonstrate a different stacking fault density in the cubic GaN epilayer in these areas."}],"language":[{"iso":"eng"}],"doi":"10.1016/j.jcrysgro.2012.10.011","year":"2012","title":"Growth of cubic GaN on 3C–SiC/Si (001) nanostructures","author":[{"first_name":"R.M.","last_name":"Kemper","full_name":"Kemper, R.M."},{"last_name":"Hiller","first_name":"L.","full_name":"Hiller, L."},{"full_name":"Stauden, T.","last_name":"Stauden","first_name":"T."},{"first_name":"J.","last_name":"Pezoldt","full_name":"Pezoldt, J."},{"full_name":"Duschik, K.","first_name":"K.","last_name":"Duschik"},{"full_name":"Niendorf, T.","first_name":"T.","last_name":"Niendorf"},{"full_name":"Maier, H.J.","first_name":"H.J.","last_name":"Maier"},{"full_name":"Meertens, D.","first_name":"D.","last_name":"Meertens"},{"first_name":"K.","last_name":"Tillmann","full_name":"Tillmann, K."},{"full_name":"As, D.J.","last_name":"As","first_name":"D.J."},{"last_name":"Lindner","first_name":"Jörg","full_name":"Lindner, Jörg","id":"20797"}],"publication_identifier":{"issn":["0022-0248"]},"publication_status":"published","date_updated":"2025-12-16T08:12:58Z","article_type":"original","intvolume":"       378","file_date_updated":"2018-08-23T13:01:13Z","citation":{"ieee":"R. M. Kemper <i>et al.</i>, “Growth of cubic GaN on 3C–SiC/Si (001) nanostructures,” <i>Journal of Crystal Growth</i>, vol. 378, pp. 291–294, 2012, doi: <a href=\"https://doi.org/10.1016/j.jcrysgro.2012.10.011\">10.1016/j.jcrysgro.2012.10.011</a>.","mla":"Kemper, R. M., et al. “Growth of Cubic GaN on 3C–SiC/Si (001) Nanostructures.” <i>Journal of Crystal Growth</i>, vol. 378, Elsevier BV, 2012, pp. 291–94, doi:<a href=\"https://doi.org/10.1016/j.jcrysgro.2012.10.011\">10.1016/j.jcrysgro.2012.10.011</a>.","apa":"Kemper, R. M., Hiller, L., Stauden, T., Pezoldt, J., Duschik, K., Niendorf, T., Maier, H. J., Meertens, D., Tillmann, K., As, D. J., &#38; Lindner, J. (2012). Growth of cubic GaN on 3C–SiC/Si (001) nanostructures. <i>Journal of Crystal Growth</i>, <i>378</i>, 291–294. <a href=\"https://doi.org/10.1016/j.jcrysgro.2012.10.011\">https://doi.org/10.1016/j.jcrysgro.2012.10.011</a>","bibtex":"@article{Kemper_Hiller_Stauden_Pezoldt_Duschik_Niendorf_Maier_Meertens_Tillmann_As_et al._2012, title={Growth of cubic GaN on 3C–SiC/Si (001) nanostructures}, volume={378}, DOI={<a href=\"https://doi.org/10.1016/j.jcrysgro.2012.10.011\">10.1016/j.jcrysgro.2012.10.011</a>}, journal={Journal of Crystal Growth}, publisher={Elsevier BV}, author={Kemper, R.M. and Hiller, L. and Stauden, T. and Pezoldt, J. and Duschik, K. and Niendorf, T. and Maier, H.J. and Meertens, D. and Tillmann, K. and As, D.J. and et al.}, year={2012}, pages={291–294} }","chicago":"Kemper, R.M., L. Hiller, T. Stauden, J. Pezoldt, K. Duschik, T. Niendorf, H.J. Maier, et al. “Growth of Cubic GaN on 3C–SiC/Si (001) Nanostructures.” <i>Journal of Crystal Growth</i> 378 (2012): 291–94. <a href=\"https://doi.org/10.1016/j.jcrysgro.2012.10.011\">https://doi.org/10.1016/j.jcrysgro.2012.10.011</a>.","ama":"Kemper RM, Hiller L, Stauden T, et al. Growth of cubic GaN on 3C–SiC/Si (001) nanostructures. <i>Journal of Crystal Growth</i>. 2012;378:291-294. doi:<a href=\"https://doi.org/10.1016/j.jcrysgro.2012.10.011\">10.1016/j.jcrysgro.2012.10.011</a>","short":"R.M. Kemper, L. Hiller, T. Stauden, J. Pezoldt, K. Duschik, T. Niendorf, H.J. Maier, D. Meertens, K. Tillmann, D.J. As, J. Lindner, Journal of Crystal Growth 378 (2012) 291–294."},"page":"291-294","_id":"4104","publisher":"Elsevier BV","user_id":"16199","ddc":["530"],"volume":378,"status":"public","conference":{"name":"17th Int. Conference on MBE 2012","location":"Nara (Japan)"},"has_accepted_license":"1"},{"project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"file_date_updated":"2018-09-04T19:10:02Z","citation":{"mla":"Schumacher, Stefan, et al. “Cavity-Assisted Emission of Polarization-Entangled Photons from Biexcitons in Quantum Dots with Fine-Structure Splitting.” <i>Optics Express</i>, vol. 20, no. 5, OSA, 2012, pp. 5335–42, doi:<a href=\"https://doi.org/10.1364/oe.20.005335\">10.1364/oe.20.005335</a>.","bibtex":"@article{Schumacher_Förstner_Zrenner_Florian_Gies_Gartner_Jahnke_2012, title={Cavity-assisted emission of polarization-entangled photons from biexcitons in quantum dots with fine-structure splitting}, volume={20}, DOI={<a href=\"https://doi.org/10.1364/oe.20.005335\">10.1364/oe.20.005335</a>}, number={5}, journal={Optics Express}, publisher={OSA}, author={Schumacher, Stefan and Förstner, Jens and Zrenner, Artur and Florian, Matthias and Gies, Christopher and Gartner, Paul and Jahnke, Frank}, year={2012}, pages={5335–5342} }","ama":"Schumacher S, Förstner J, Zrenner A, et al. Cavity-assisted emission of polarization-entangled photons from biexcitons in quantum dots with fine-structure splitting. <i>Optics Express</i>. 2012;20(5):5335-5342. doi:<a href=\"https://doi.org/10.1364/oe.20.005335\">10.1364/oe.20.005335</a>","ieee":"S. Schumacher <i>et al.</i>, “Cavity-assisted emission of polarization-entangled photons from biexcitons in quantum dots with fine-structure splitting,” <i>Optics Express</i>, vol. 20, no. 5, pp. 5335–5342, 2012, doi: <a href=\"https://doi.org/10.1364/oe.20.005335\">10.1364/oe.20.005335</a>.","apa":"Schumacher, S., Förstner, J., Zrenner, A., Florian, M., Gies, C., Gartner, P., &#38; Jahnke, F. (2012). Cavity-assisted emission of polarization-entangled photons from biexcitons in quantum dots with fine-structure splitting. <i>Optics Express</i>, <i>20</i>(5), 5335–5342. <a href=\"https://doi.org/10.1364/oe.20.005335\">https://doi.org/10.1364/oe.20.005335</a>","short":"S. Schumacher, J. Förstner, A. Zrenner, M. Florian, C. Gies, P. Gartner, F. Jahnke, Optics Express 20 (2012) 5335–5342.","chicago":"Schumacher, Stefan, Jens Förstner, Artur Zrenner, Matthias Florian, Christopher Gies, Paul Gartner, and Frank Jahnke. “Cavity-Assisted Emission of Polarization-Entangled Photons from Biexcitons in Quantum Dots with Fine-Structure Splitting.” <i>Optics Express</i> 20, no. 5 (2012): 5335–42. <a href=\"https://doi.org/10.1364/oe.20.005335\">https://doi.org/10.1364/oe.20.005335</a>."},"oa":"1","has_accepted_license":"1","status":"public","ddc":["530"],"user_id":"16199","volume":20,"page":"5335-5342","publisher":"OSA","_id":"3974","urn":"39744","abstract":[{"lang":"eng","text":"We study the quantum properties and statistics of photons emitted by a quantum-dot biexciton inside a cavity. In the biexciton-exciton cascade, fine-structure splitting between exciton levels degrades polarization-entanglement for the emitted pair of photons. However, here we show that the polarization-entanglement can be preserved in such a system through simultaneous emission of two degenerate photons into cavity modes tuned to half the biexciton energy. Based on detailed theoretical calculations for realistic quantum-dot and cavity parameters, we quantify the degree of achievable entanglement."}],"publication":"Optics Express","issue":"5","type":"journal_article","keyword":["tet_topic_qd"],"department":[{"_id":"15"},{"_id":"290"},{"_id":"230"},{"_id":"297"},{"_id":"35"},{"_id":"170"},{"_id":"34"},{"_id":"61"},{"_id":"27"}],"file":[{"file_id":"3975","content_type":"application/pdf","file_name":"2012 Schumacher,Förstner,Zrenner,Florian,Gies,Gartner,Jahnke_Cavity assisted emission of polarization-entangled photons.pdf","file_size":751384,"access_level":"open_access","relation":"main_file","date_updated":"2018-09-04T19:10:02Z","date_created":"2018-08-21T09:05:01Z","creator":"hclaudia"}],"date_created":"2018-08-21T09:03:31Z","date_updated":"2025-12-16T11:12:04Z","publication_status":"published","intvolume":"        20","article_type":"original","year":"2012","title":"Cavity-assisted emission of polarization-entangled photons from biexcitons in quantum dots with fine-structure splitting","publication_identifier":{"issn":["1094-4087"]},"author":[{"last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan","full_name":"Schumacher, Stefan","id":"27271"},{"id":"158","first_name":"Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens"},{"id":"606","full_name":"Zrenner, Artur","last_name":"Zrenner","first_name":"Artur","orcid":"0000-0002-5190-0944"},{"full_name":"Florian, Matthias","first_name":"Matthias","last_name":"Florian"},{"full_name":"Gies, Christopher","first_name":"Christopher","last_name":"Gies"},{"full_name":"Gartner, Paul","last_name":"Gartner","first_name":"Paul"},{"full_name":"Jahnke, Frank","last_name":"Jahnke","first_name":"Frank"}],"doi":"10.1364/oe.20.005335","language":[{"iso":"eng"}]},{"publication":"Quantum Electronics","issue":"3","date_created":"2023-01-26T14:33:02Z","type":"journal_article","keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics","Statistical and Nonlinear Physics","Electronic","Optical and Magnetic Materials"],"department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"35"},{"_id":"230"}],"year":"2012","title":"Dynamics of ionisation and entanglement in the 'atom + quantum electromagnetic field' system","publication_identifier":{"issn":["1063-7818","1468-4799"]},"author":[{"id":"60286","last_name":"Sharapova","first_name":"Polina","full_name":"Sharapova, Polina"},{"first_name":"O V","last_name":"Tikhonova","full_name":"Tikhonova, O V"}],"date_updated":"2025-12-16T11:15:59Z","publication_status":"published","intvolume":"        42","language":[{"iso":"eng"}],"doi":"10.1070/qe2012v042n03abeh014805","citation":{"chicago":"Sharapova, Polina, and O V Tikhonova. “Dynamics of Ionisation and Entanglement in the ‘atom + Quantum Electromagnetic Field’ System.” <i>Quantum Electronics</i> 42, no. 3 (2012): 199–207. <a href=\"https://doi.org/10.1070/qe2012v042n03abeh014805\">https://doi.org/10.1070/qe2012v042n03abeh014805</a>.","ama":"Sharapova P, Tikhonova OV. Dynamics of ionisation and entanglement in the “atom + quantum electromagnetic field” system. <i>Quantum Electronics</i>. 2012;42(3):199-207. doi:<a href=\"https://doi.org/10.1070/qe2012v042n03abeh014805\">10.1070/qe2012v042n03abeh014805</a>","short":"P. Sharapova, O.V. Tikhonova, Quantum Electronics 42 (2012) 199–207.","bibtex":"@article{Sharapova_Tikhonova_2012, title={Dynamics of ionisation and entanglement in the “atom + quantum electromagnetic field” system}, volume={42}, DOI={<a href=\"https://doi.org/10.1070/qe2012v042n03abeh014805\">10.1070/qe2012v042n03abeh014805</a>}, number={3}, journal={Quantum Electronics}, publisher={IOP Publishing}, author={Sharapova, Polina and Tikhonova, O V}, year={2012}, pages={199–207} }","mla":"Sharapova, Polina, and O. V. Tikhonova. “Dynamics of Ionisation and Entanglement in the ‘atom + Quantum Electromagnetic Field’ System.” <i>Quantum Electronics</i>, vol. 42, no. 3, IOP Publishing, 2012, pp. 199–207, doi:<a href=\"https://doi.org/10.1070/qe2012v042n03abeh014805\">10.1070/qe2012v042n03abeh014805</a>.","apa":"Sharapova, P., &#38; Tikhonova, O. V. (2012). Dynamics of ionisation and entanglement in the “atom + quantum electromagnetic field” system. <i>Quantum Electronics</i>, <i>42</i>(3), 199–207. <a href=\"https://doi.org/10.1070/qe2012v042n03abeh014805\">https://doi.org/10.1070/qe2012v042n03abeh014805</a>","ieee":"P. Sharapova and O. V. Tikhonova, “Dynamics of ionisation and entanglement in the ‘atom + quantum electromagnetic field’ system,” <i>Quantum Electronics</i>, vol. 42, no. 3, pp. 199–207, 2012, doi: <a href=\"https://doi.org/10.1070/qe2012v042n03abeh014805\">10.1070/qe2012v042n03abeh014805</a>."},"status":"public","page":"199-207","_id":"40405","publisher":"IOP Publishing","user_id":"16199","volume":42},{"language":[{"iso":"eng"}],"doi":"10.1063/1.4750095","author":[{"full_name":"Hildebrandt, Andre","first_name":"Andre","last_name":"Hildebrandt"},{"id":"138","full_name":"Reichelt, Matthias","last_name":"Reichelt","first_name":"Matthias"},{"orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten","full_name":"Meier, Torsten","id":"344"},{"full_name":"Förstner, Jens","orcid":"0000-0001-7059-9862","last_name":"Förstner","first_name":"Jens","id":"158"}],"title":"Optimization of the intensity enhancement in plasmonic nanoantennas","year":"2012","publication_status":"published","date_updated":"2025-12-16T11:20:08Z","date_created":"2018-08-21T07:49:52Z","file":[{"file_id":"3966","success":1,"content_type":"application/pdf","file_name":"2012-11 Hildebrandt,Reichelt,Meier,Förstner_Optimization of the intensity enhancement in plasmonic nanoantennas.pdf","access_level":"closed","file_size":958277,"relation":"main_file","date_updated":"2018-08-21T07:54:07Z","date_created":"2018-08-21T07:54:07Z","creator":"hclaudia"}],"department":[{"_id":"15"},{"_id":"230"},{"_id":"170"},{"_id":"61"},{"_id":"230"},{"_id":"35"},{"_id":"34"}],"keyword":["tet_topic_optical antenna","tet_topic_plasmonics"],"type":"conference","issue":"59","abstract":[{"lang":"eng","text":"We design the geometrical shape of plasmonic nanostructures to achieve field patterns with desired properties. For this, we combine Maxwell simulations and automatic optimization techniques. By allowing variations of the geometrical shape, which can be based on either boxes or arbitrary polygons, we maximize the desired objective."}],"publisher":"AIP AIP Conference Proceedings 1475","_id":"3965","user_id":"16199","ddc":["530"],"conference":{"name":"The Fith International Workshop 2012 (AIP conference Proceedings)","location":"Bad Honnef"},"status":"public","has_accepted_license":"1","citation":{"short":"A. Hildebrandt, M. Reichelt, T. Meier, J. Förstner, in: AIP AIP Conference Proceedings 1475, 2012.","ama":"Hildebrandt A, Reichelt M, Meier T, Förstner J. Optimization of the intensity enhancement in plasmonic nanoantennas. In: AIP AIP Conference Proceedings 1475; 2012. doi:<a href=\"https://doi.org/10.1063/1.4750095\">10.1063/1.4750095</a>","chicago":"Hildebrandt, Andre, Matthias Reichelt, Torsten Meier, and Jens Förstner. “Optimization of the Intensity Enhancement in Plasmonic Nanoantennas.” AIP AIP Conference Proceedings 1475, 2012. <a href=\"https://doi.org/10.1063/1.4750095\">https://doi.org/10.1063/1.4750095</a>.","bibtex":"@inproceedings{Hildebrandt_Reichelt_Meier_Förstner_2012, title={Optimization of the intensity enhancement in plasmonic nanoantennas}, DOI={<a href=\"https://doi.org/10.1063/1.4750095\">10.1063/1.4750095</a>}, number={59}, publisher={AIP AIP Conference Proceedings 1475}, author={Hildebrandt, Andre and Reichelt, Matthias and Meier, Torsten and Förstner, Jens}, year={2012} }","mla":"Hildebrandt, Andre, et al. <i>Optimization of the Intensity Enhancement in Plasmonic Nanoantennas</i>. no. 59, AIP AIP Conference Proceedings 1475, 2012, doi:<a href=\"https://doi.org/10.1063/1.4750095\">10.1063/1.4750095</a>.","apa":"Hildebrandt, A., Reichelt, M., Meier, T., &#38; Förstner, J. (2012). <i>Optimization of the intensity enhancement in plasmonic nanoantennas</i>. <i>59</i>. <a href=\"https://doi.org/10.1063/1.4750095\">https://doi.org/10.1063/1.4750095</a>","ieee":"A. Hildebrandt, M. Reichelt, T. Meier, and J. Förstner, “Optimization of the intensity enhancement in plasmonic nanoantennas,” Bad Honnef, 2012, no. 59, doi: <a href=\"https://doi.org/10.1063/1.4750095\">10.1063/1.4750095</a>."},"file_date_updated":"2018-08-21T07:54:07Z"},{"page":"1968-1973","_id":"4136","publisher":"Wiley","ddc":["530"],"user_id":"16199","volume":9,"status":"public","has_accepted_license":"1","file_date_updated":"2018-08-27T12:19:56Z","citation":{"short":"F. Zirkelbach, B. Stritzker, K. Nordlund, W.G. Schmidt, E. Rauls, J.K.N. Lindner, Physica Status Solidi (c) 9 (2012) 1968–1973.","chicago":"Zirkelbach, F., B. Stritzker, K. Nordlund, Wolf Gero Schmidt, E. Rauls, and Jörg K. N. Lindner. “First-Principles and Empirical Potential Simulation Study of Intrinsic and Carbon-Related Defects in Silicon.” <i>Physica Status Solidi (c)</i> 9, no. 10–11 (2012): 1968–73. <a href=\"https://doi.org/10.1002/pssc.201200198\">https://doi.org/10.1002/pssc.201200198</a>.","apa":"Zirkelbach, F., Stritzker, B., Nordlund, K., Schmidt, W. G., Rauls, E., &#38; Lindner, J. K. N. (2012). First-principles and empirical potential simulation study of intrinsic and carbon-related defects in silicon. <i>Physica Status Solidi (c)</i>, <i>9</i>(10–11), 1968–1973. <a href=\"https://doi.org/10.1002/pssc.201200198\">https://doi.org/10.1002/pssc.201200198</a>","ieee":"F. Zirkelbach, B. Stritzker, K. Nordlund, W. G. Schmidt, E. Rauls, and J. K. N. Lindner, “First-principles and empirical potential simulation study of intrinsic and carbon-related defects in silicon,” <i>physica status solidi (c)</i>, vol. 9, no. 10–11, pp. 1968–1973, 2012, doi: <a href=\"https://doi.org/10.1002/pssc.201200198\">10.1002/pssc.201200198</a>.","ama":"Zirkelbach F, Stritzker B, Nordlund K, Schmidt WG, Rauls E, Lindner JKN. First-principles and empirical potential simulation study of intrinsic and carbon-related defects in silicon. <i>physica status solidi (c)</i>. 2012;9(10-11):1968-1973. doi:<a href=\"https://doi.org/10.1002/pssc.201200198\">10.1002/pssc.201200198</a>","bibtex":"@article{Zirkelbach_Stritzker_Nordlund_Schmidt_Rauls_Lindner_2012, title={First-principles and empirical potential simulation study of intrinsic and carbon-related defects in silicon}, volume={9}, DOI={<a href=\"https://doi.org/10.1002/pssc.201200198\">10.1002/pssc.201200198</a>}, number={10–11}, journal={physica status solidi (c)}, publisher={Wiley}, author={Zirkelbach, F. and Stritzker, B. and Nordlund, K. and Schmidt, Wolf Gero and Rauls, E. and Lindner, Jörg K. N.}, year={2012}, pages={1968–1973} }","mla":"Zirkelbach, F., et al. “First-Principles and Empirical Potential Simulation Study of Intrinsic and Carbon-Related Defects in Silicon.” <i>Physica Status Solidi (c)</i>, vol. 9, no. 10–11, Wiley, 2012, pp. 1968–73, doi:<a href=\"https://doi.org/10.1002/pssc.201200198\">10.1002/pssc.201200198</a>."},"language":[{"iso":"eng"}],"doi":"10.1002/pssc.201200198","title":"First-principles and empirical potential simulation study of intrinsic and carbon-related defects in silicon","year":"2012","author":[{"full_name":"Zirkelbach, F.","first_name":"F.","last_name":"Zirkelbach"},{"full_name":"Stritzker, B.","last_name":"Stritzker","first_name":"B."},{"first_name":"K.","last_name":"Nordlund","full_name":"Nordlund, K."},{"first_name":"Wolf Gero","orcid":"0000-0002-2717-5076","last_name":"Schmidt","full_name":"Schmidt, Wolf Gero","id":"468"},{"first_name":"E.","last_name":"Rauls","full_name":"Rauls, E."},{"id":"20797","full_name":"Lindner, Jörg K. N.","last_name":"Lindner","first_name":"Jörg K. N."}],"publication_identifier":{"issn":["1862-6351"]},"date_updated":"2025-12-16T11:28:58Z","publication_status":"published","intvolume":"         9","article_type":"original","file":[{"file_name":"First-principles and empirical potential simulation study of intrinsic and carbon-related defects in silicon.pdf","access_level":"closed","file_size":283206,"relation":"main_file","date_updated":"2018-08-27T12:19:56Z","file_id":"4137","success":1,"content_type":"application/pdf","creator":"hclaudia","date_created":"2018-08-27T12:19:56Z"}],"date_created":"2018-08-27T12:19:26Z","type":"journal_article","department":[{"_id":"15"},{"_id":"286"},{"_id":"170"},{"_id":"295"},{"_id":"35"},{"_id":"230"}],"publication":"physica status solidi (c)","issue":"10-11","abstract":[{"text":"Results of atomistic simulations aimed at understanding precipitation of the highly attractive wide band gap\r\nsemiconductor material silicon carbide in silicon are presented. The study involves a systematic investigation of\r\nintrinsic and carbon-related defects as well as defect combinations and defect migration by both, quantummechanical\r\nfirst-principles as well as empirical potential methods. Comparing formation and activation energies,\r\nground-state structures of defects and defect combinations as well as energetically favorable agglomeration of\r\ndefects are predicted. Moreover, accurate ab initio calculations unveil limitations of the analytical method based\r\non a Tersoff-like bond order potential. A work-around is proposed in order to subsequently apply the highly efficient technique on large structures not accessible by first-principles methods. The outcome of both types of simulation provides a basic microscopic understanding of defect formation and structural evolution particularly at non-equilibrium conditions strongly deviated from the ground state as commonly found in SiC growth processes. A possible precipitation mechanism, which conforms well to experimental findings and clarifies contradictory views present in the literature is outlined.","lang":"eng"}]},{"language":[{"iso":"eng"}],"doi":"10.1364/oe.20.014130","title":"Photonic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection","year":"2012","author":[{"full_name":"Song, Xiaohong","first_name":"Xiaohong","last_name":"Song"},{"full_name":"Declair, Stefan","last_name":"Declair","first_name":"Stefan"},{"first_name":"Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten","id":"344"},{"id":"606","full_name":"Zrenner, Artur","orcid":"0000-0002-5190-0944","last_name":"Zrenner","first_name":"Artur"},{"full_name":"Förstner, Jens","last_name":"Förstner","first_name":"Jens","orcid":"0000-0001-7059-9862","id":"158"}],"publication_identifier":{"issn":["1094-4087"]},"date_updated":"2025-12-16T11:33:40Z","publication_status":"published","intvolume":"        20","article_type":"original","file":[{"creator":"hclaudia","date_created":"2018-08-21T08:43:44Z","file_name":"2012 Song,Declair,Meier,Zrenner,Förstner_Photnic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection.pdf","file_size":1437112,"access_level":"closed","relation":"main_file","date_updated":"2018-08-21T08:43:44Z","file_id":"3973","success":1,"content_type":"application/pdf"}],"date_created":"2018-08-21T08:40:38Z","keyword":["tet_topic_phc","tet_topic_qd"],"type":"journal_article","department":[{"_id":"15"},{"_id":"290"},{"_id":"293"},{"_id":"230"},{"_id":"170"},{"_id":"61"},{"_id":"35"},{"_id":"34"}],"issue":"13","publication":"Optics Express","abstract":[{"text":"Using a finite-difference time-domain method, we theoretically investigate the optical spectra of crossing perpendicular photonic crystal waveguides with quantum dots embedded in the central rod. The waveguides are designed so that the light mainly propagates along one direction and the cross talk is greatly reduced in the transverse direction. It is shown that when a quantum dot (QD) is resonant with the cavity, strong coupling can be observed via both the transmission and crosstalk spectrum. If the cavity is far off-resonant from the QD, both the cavity mode and the QD signal can be detected in the transverse direction since the laser field is greatly suppressed in this direction. This structure could have strong implications for resonant excitation and in-plane detection of QD optical spectroscopy.","lang":"eng"}],"page":"14130-14136","publisher":"The Optical Society","_id":"3972","ddc":["530"],"user_id":"16199","volume":20,"status":"public","has_accepted_license":"1","file_date_updated":"2018-08-21T08:43:44Z","citation":{"ama":"Song X, Declair S, Meier T, Zrenner A, Förstner J. Photonic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection. <i>Optics Express</i>. 2012;20(13):14130-14136. doi:<a href=\"https://doi.org/10.1364/oe.20.014130\">10.1364/oe.20.014130</a>","bibtex":"@article{Song_Declair_Meier_Zrenner_Förstner_2012, title={Photonic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection}, volume={20}, DOI={<a href=\"https://doi.org/10.1364/oe.20.014130\">10.1364/oe.20.014130</a>}, number={13}, journal={Optics Express}, publisher={The Optical Society}, author={Song, Xiaohong and Declair, Stefan and Meier, Torsten and Zrenner, Artur and Förstner, Jens}, year={2012}, pages={14130–14136} }","mla":"Song, Xiaohong, et al. “Photonic Crystal Waveguides Intersection for Resonant Quantum Dot Optical Spectroscopy Detection.” <i>Optics Express</i>, vol. 20, no. 13, The Optical Society, 2012, pp. 14130–36, doi:<a href=\"https://doi.org/10.1364/oe.20.014130\">10.1364/oe.20.014130</a>.","short":"X. Song, S. Declair, T. Meier, A. Zrenner, J. Förstner, Optics Express 20 (2012) 14130–14136.","chicago":"Song, Xiaohong, Stefan Declair, Torsten Meier, Artur Zrenner, and Jens Förstner. “Photonic Crystal Waveguides Intersection for Resonant Quantum Dot Optical Spectroscopy Detection.” <i>Optics Express</i> 20, no. 13 (2012): 14130–36. <a href=\"https://doi.org/10.1364/oe.20.014130\">https://doi.org/10.1364/oe.20.014130</a>.","apa":"Song, X., Declair, S., Meier, T., Zrenner, A., &#38; Förstner, J. (2012). Photonic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection. <i>Optics Express</i>, <i>20</i>(13), 14130–14136. <a href=\"https://doi.org/10.1364/oe.20.014130\">https://doi.org/10.1364/oe.20.014130</a>","ieee":"X. Song, S. Declair, T. Meier, A. Zrenner, and J. Förstner, “Photonic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection,” <i>Optics Express</i>, vol. 20, no. 13, pp. 14130–14136, 2012, doi: <a href=\"https://doi.org/10.1364/oe.20.014130\">10.1364/oe.20.014130</a>."}},{"citation":{"bibtex":"@inproceedings{Grynko_Meier_Linden_Niesler_Wegener_Förstner_2012, title={Near-field coupling and second-harmonic generation in split-ring resonator arrays}, volume={1475}, DOI={<a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>}, number={1}, publisher={AIP Conference Proceedings}, author={Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}, year={2012}, pages={128–130} }","ama":"Grynko Y, Meier T, Linden S, Niesler FBP, Wegener M, Förstner J. Near-field coupling and second-harmonic generation in split-ring resonator arrays. In: Vol 1475. AIP Conference Proceedings; 2012:128-130. doi:<a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>","mla":"Grynko, Yevgen, et al. <i>Near-Field Coupling and Second-Harmonic Generation in Split-Ring Resonator Arrays</i>. no. 1, AIP Conference Proceedings, 2012, pp. 128–30, doi:<a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>.","chicago":"Grynko, Yevgen, Torsten Meier, Stefan Linden, Fabian B. P. Niesler, Martin Wegener, and Jens Förstner. “Near-Field Coupling and Second-Harmonic Generation in Split-Ring Resonator Arrays,” 1475:128–30. AIP Conference Proceedings, 2012. <a href=\"https://doi.org/10.1063/1.4750118\">https://doi.org/10.1063/1.4750118</a>.","short":"Y. Grynko, T. Meier, S. Linden, F.B.P. Niesler, M. Wegener, J. Förstner, in: AIP Conference Proceedings, 2012, pp. 128–130.","ieee":"Y. Grynko, T. Meier, S. Linden, F. B. P. Niesler, M. Wegener, and J. Förstner, “Near-field coupling and second-harmonic generation in split-ring resonator arrays,” Bad Honnef, 2012, vol. 1475, no. 1, pp. 128–130, doi: <a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>.","apa":"Grynko, Y., Meier, T., Linden, S., Niesler, F. B. P., Wegener, M., &#38; Förstner, J. (2012). <i>Near-field coupling and second-harmonic generation in split-ring resonator arrays</i>. <i>1475</i>(1), 128–130. <a href=\"https://doi.org/10.1063/1.4750118\">https://doi.org/10.1063/1.4750118</a>"},"file_date_updated":"2018-08-30T10:33:33Z","_id":"3967","publisher":"AIP Conference Proceedings","page":"128-130","volume":1475,"user_id":"16199","ddc":["530"],"conference":{"name":"The Fith International Workshop 2012 (AIP conference Proceedings)","location":"Bad Honnef"},"status":"public","has_accepted_license":"1","date_created":"2018-08-21T07:55:56Z","file":[{"relation":"main_file","date_updated":"2018-08-30T10:33:33Z","file_name":"2012 Grynko,Meier T,Lindne,Niesler,Wegener,Förstner_Near-Field coupling and Second-Harmonic Generation in Split-Ring Resonator Arrays.pdf","file_size":330893,"access_level":"closed","file_id":"4327","success":1,"content_type":"application/pdf","creator":"hclaudia","date_created":"2018-08-30T10:33:33Z"}],"department":[{"_id":"15"},{"_id":"230"},{"_id":"170"},{"_id":"293"},{"_id":"61"},{"_id":"35"},{"_id":"34"}],"type":"conference","keyword":["tet_topic_meta","tet_topic_shg"],"issue":"1","abstract":[{"lang":"eng","text":"We simulate the linear and nonlinear optical response from split-ring resonator (SRR) arrays to study collective effects between the constituent SRRs that determine spectral properties of the second harmonic generation (SHG). We apply the Discontinuous Galerkin Time Domain (DGTD) method and the hydrodynamic Maxwell-Vlasov model to calculate the SHG emission. Our model is able to qualitatively reproduce and explain the non-monotonic dependence of the spectral SHG transmission measured experimentally for SRR arrays with different lattice constants"}],"language":[{"iso":"eng"}],"doi":"10.1063/1.4750118","author":[{"first_name":"Yevgen","last_name":"Grynko","full_name":"Grynko, Yevgen","id":"26059"},{"full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten","id":"344"},{"full_name":"Linden, Stefan","first_name":"Stefan","last_name":"Linden"},{"full_name":"Niesler, Fabian B. P.","first_name":"Fabian B. P.","last_name":"Niesler"},{"first_name":"Martin","last_name":"Wegener","full_name":"Wegener, Martin"},{"orcid":"0000-0001-7059-9862","last_name":"Förstner","first_name":"Jens","full_name":"Förstner, Jens","id":"158"}],"year":"2012","title":"Near-field coupling and second-harmonic generation in split-ring resonator arrays","intvolume":"      1475","publication_status":"published","date_updated":"2025-12-16T11:34:33Z"},{"title":"Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays","year":"2012","author":[{"full_name":"Linden, S.","first_name":"S.","last_name":"Linden"},{"full_name":"Niesler, F. B. P.","first_name":"F. B. P.","last_name":"Niesler"},{"id":"158","full_name":"Förstner, Jens","first_name":"Jens","orcid":"0000-0001-7059-9862","last_name":"Förstner"},{"first_name":"Yevgen","last_name":"Grynko","full_name":"Grynko, Yevgen","id":"26059"},{"full_name":"Meier, Torsten","first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","id":"344"},{"full_name":"Wegener, M.","last_name":"Wegener","first_name":"M."}],"publication_identifier":{"issn":["0031-9007","1079-7114"]},"publication_status":"published","date_updated":"2025-12-16T16:42:04Z","article_type":"original","intvolume":"       109","article_number":"015502","language":[{"iso":"eng"}],"doi":"10.1103/physrevlett.109.015502","issue":"1","publication":"Physical Review Letters","abstract":[{"lang":"eng","text":"Optical experiments on second-harmonic generation from split-ring-resonator square arrays show a nonmonotonic dependence of the conversion efficiency on the lattice constant. This finding is interpreted in terms of a competition between dilution effects and linewidth or near-field changes due to interactions among the individual elements in the array."}],"file":[{"creator":"hclaudia","date_created":"2018-08-21T08:37:59Z","date_updated":"2018-09-04T19:18:47Z","relation":"main_file","access_level":"open_access","file_size":1280595,"file_name":"2012 Niesler,Linden,Förstner,Grynko,Meier,Wegener_Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.pdf","content_type":"application/pdf","file_id":"3971"}],"date_created":"2018-08-21T08:34:01Z","keyword":["tet_topic_shg","tet_topic_meta"],"type":"journal_article","department":[{"_id":"15"},{"_id":"293"},{"_id":"170"},{"_id":"230"},{"_id":"35"},{"_id":"34"},{"_id":"61"}],"status":"public","has_accepted_license":"1","publisher":"American Physical Society (APS)","_id":"3970","urn":"39702","user_id":"16199","ddc":["530"],"volume":109,"file_date_updated":"2018-09-04T19:18:47Z","citation":{"mla":"Linden, S., et al. “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.” <i>Physical Review Letters</i>, vol. 109, no. 1, 015502, American Physical Society (APS), 2012, doi:<a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>.","ama":"Linden S, Niesler FBP, Förstner J, Grynko Y, Meier T, Wegener M. Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays. <i>Physical Review Letters</i>. 2012;109(1). doi:<a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>","bibtex":"@article{Linden_Niesler_Förstner_Grynko_Meier_Wegener_2012, title={Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays}, volume={109}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>}, number={1015502}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Linden, S. and Niesler, F. B. P. and Förstner, Jens and Grynko, Yevgen and Meier, Torsten and Wegener, M.}, year={2012} }","apa":"Linden, S., Niesler, F. B. P., Förstner, J., Grynko, Y., Meier, T., &#38; Wegener, M. (2012). Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays. <i>Physical Review Letters</i>, <i>109</i>(1), Article 015502. <a href=\"https://doi.org/10.1103/physrevlett.109.015502\">https://doi.org/10.1103/physrevlett.109.015502</a>","ieee":"S. Linden, F. B. P. Niesler, J. Förstner, Y. Grynko, T. Meier, and M. Wegener, “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays,” <i>Physical Review Letters</i>, vol. 109, no. 1, Art. no. 015502, 2012, doi: <a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>.","short":"S. Linden, F.B.P. Niesler, J. Förstner, Y. Grynko, T. Meier, M. Wegener, Physical Review Letters 109 (2012).","chicago":"Linden, S., F. B. P. Niesler, Jens Förstner, Yevgen Grynko, Torsten Meier, and M. Wegener. “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.” <i>Physical Review Letters</i> 109, no. 1 (2012). <a href=\"https://doi.org/10.1103/physrevlett.109.015502\">https://doi.org/10.1103/physrevlett.109.015502</a>."},"oa":"1"},{"status":"public","volume":14,"user_id":"16199","_id":"43200","publisher":"Cambridge University Press","page":"21-47","citation":{"ama":"Meier T, Mollet C, Kunoth A. Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation. <i>Communications in Computational Physics</i>. 2012;14(1):21-47. doi:<a href=\"https://doi.org/10.4208/cicp.081011.260712a\">10.4208/cicp.081011.260712a</a>","bibtex":"@article{Meier_Mollet_Kunoth_2012, title={Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation}, volume={14}, DOI={<a href=\"https://doi.org/10.4208/cicp.081011.260712a\">10.4208/cicp.081011.260712a</a>}, number={1}, journal={Communications in Computational Physics}, publisher={Cambridge University Press}, author={Meier, Torsten and Mollet, Christian and Kunoth, Angela}, year={2012}, pages={21–47} }","mla":"Meier, Torsten, et al. “Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation.” <i>Communications in Computational Physics</i>, vol. 14, no. 1, Cambridge University Press, 2012, pp. 21–47, doi:<a href=\"https://doi.org/10.4208/cicp.081011.260712a\">10.4208/cicp.081011.260712a</a>.","chicago":"Meier, Torsten, Christian Mollet, and Angela Kunoth. “Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation.” <i>Communications in Computational Physics</i> 14, no. 1 (2012): 21–47. <a href=\"https://doi.org/10.4208/cicp.081011.260712a\">https://doi.org/10.4208/cicp.081011.260712a</a>.","short":"T. Meier, C. Mollet, A. Kunoth, Communications in Computational Physics 14 (2012) 21–47.","apa":"Meier, T., Mollet, C., &#38; Kunoth, A. (2012). Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation. <i>Communications in Computational Physics</i>, <i>14</i>(1), 21–47. <a href=\"https://doi.org/10.4208/cicp.081011.260712a\">https://doi.org/10.4208/cicp.081011.260712a</a>","ieee":"T. Meier, C. Mollet, and A. Kunoth, “Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation,” <i>Communications in Computational Physics</i>, vol. 14, no. 1, pp. 21–47, 2012, doi: <a href=\"https://doi.org/10.4208/cicp.081011.260712a\">10.4208/cicp.081011.260712a</a>."},"intvolume":"        14","date_updated":"2025-12-16T16:48:36Z","publication_status":"published","author":[{"id":"344","first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten"},{"full_name":"Mollet, Christian","first_name":"Christian","last_name":"Mollet"},{"full_name":"Kunoth, Angela","first_name":"Angela","last_name":"Kunoth"}],"year":"2012","title":"Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation","doi":"10.4208/cicp.081011.260712a","language":[{"iso":"eng"}],"abstract":[{"text":"A novel adaptive approach to compute the eigenenergies and eigenfunctions of the two-particle (electron-hole) Schrödinger equation including Coulomb attraction is presented. As an example, we analyze the energetically lowest exciton state of a thin one-dimensional semiconductor quantum wire in the presence of disorder which arises from the non-smooth interface between the wire and surrounding material. The eigenvalues of the corresponding Schrödinger equation, i.e., the one-dimensional exciton Wannier equation with disorder, correspond to the energies of excitons in the quantum wire. The wavefunctions, in turn, provide information on the optical properties of the wire.\r\n\r\nWe reformulate the problem of two interacting particles that both can move in one dimension as a stationary eigenvalue problem with two spacial dimensions in an appropriate weak form whose bilinear form is arranged to be symmetric, continuous, and coercive. The disorder of the wire is modelled by adding a potential in the Hamiltonian which is generated by normally distributed random numbers. The numerical solution of this problem is based on adaptive wavelets. Our scheme allows for a convergence proof of the resulting scheme together with complexity estimates. Numerical examples demonstrate the behavior of the smallest eigenvalue, the ground state energies of the exciton, together with the eigenstates depending on the strength and spatial correlation of disorder.","lang":"eng"}],"issue":"1","publication":"Communications in Computational Physics","department":[{"_id":"293"},{"_id":"35"},{"_id":"15"},{"_id":"170"},{"_id":"230"}],"type":"journal_article","date_created":"2023-03-29T21:20:52Z"},{"place":"New York","date_created":"2019-07-19T11:07:23Z","type":"book_chapter","department":[{"_id":"519"}],"publication":"Emilie Du Châtelet between Leibniz and Newton","citation":{"mla":"Hagengruber, Ruth Edith. “Emilie Du Châtelet and the Transformation of Metaphysics.” <i>Emilie Du Châtelet between Leibniz and Newton</i>, edited by Ruth Hagengruber, Springer VS, 2012, pp. 1–59.","bibtex":"@inbook{Hagengruber_2012, place={New York}, title={Emilie Du Châtelet and the Transformation of Metaphysics}, booktitle={Emilie Du Châtelet between Leibniz and Newton}, publisher={Springer VS}, author={Hagengruber, Ruth Edith}, editor={Hagengruber, Ruth}, year={2012}, pages={1–59} }","ama":"Hagengruber RE. 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Jahrhunderts – ein neuer Typus?}, volume={11}, booktitle={Zwischen Himmel und Erde. Körperliche Zeichen der Heiligkeit}, author={Priesching, Nicole}, editor={Putz, Waltraud}, year={2012}, pages={79–97}, collection={Beiträge zur Hagiographie} }","ama":"Priesching N. Mystikerinnen des 19. Jahrhunderts – ein neuer Typus? In: Putz W, ed. <i>Zwischen Himmel und Erde. Körperliche Zeichen der Heiligkeit</i>. Vol 11. Beiträge zur Hagiographie. ; 2012:79–97."}},{"type":"book_chapter","department":[{"_id":"125"},{"_id":"21"}],"date_created":"2024-09-05T10:07:21Z","place":"Wien, Bozen","publication":"Regionale Zivilgesellschaft in Bewegung / Cittadini innanzi tutto. Festschrift für Hans Heiss","citation":{"mla":"Priesching, Nicole. “Als Kaiser Franz I. am 27. Oktober 1815 durch Bozen reiste.” <i>Regionale Zivilgesellschaft in Bewegung / Cittadini innanzi tutto. 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Als Kaiser Franz I. am 27. Oktober 1815 durch Bozen reiste. In H. Obermair, S. Risse, &#38; C. Romeo (Eds.), <i>Regionale Zivilgesellschaft in Bewegung / Cittadini innanzi tutto. Festschrift für Hans Heiss</i> (pp. 588–601).","short":"N. Priesching, in: H. Obermair, S. Risse, C. Romeo (Eds.), Regionale Zivilgesellschaft in Bewegung / Cittadini innanzi tutto. Festschrift für Hans Heiss, Wien, Bozen, 2012, pp. 588–601.","chicago":"Priesching, Nicole. “Als Kaiser Franz I. am 27. Oktober 1815 durch Bozen reiste.” In <i>Regionale Zivilgesellschaft in Bewegung / Cittadini innanzi tutto. Festschrift für Hans Heiss</i>, edited by Hannes Obermair, Stephanie Risse, and Carlo Romeo, 588–601. Wien, Bozen, 2012."},"user_id":"23692","editor":[{"last_name":"Obermair","first_name":"Hannes","full_name":"Obermair, Hannes"},{"last_name":"Risse","first_name":"Stephanie","full_name":"Risse, Stephanie"},{"first_name":"Carlo","last_name":"Romeo","full_name":"Romeo, Carlo"}],"page":"588–601","language":[{"iso":"ger"}],"_id":"56050","publication_status":"published","date_updated":"2024-11-29T09:17:08Z","year":"2012","title":"Als Kaiser Franz I. am 27. Oktober 1815 durch Bozen reiste","status":"public","author":[{"id":"32046","full_name":"Priesching, Nicole","last_name":"Priesching","first_name":"Nicole"}]}]