[{"status":"public","type":"journal_article","article_type":"original","file_date_updated":"2020-08-30T16:24:01Z","extern":"1","_id":"18626","user_id":"458","intvolume":"        18","page":"374-376","citation":{"chicago":"Schindlmayr, Arno. “Excitons with Anisotropic Effective Mass.” <i>European Journal of Physics</i> 18, no. 5 (1997): 374–76. <a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">https://doi.org/10.1088/0143-0807/18/5/011</a>.","ieee":"A. Schindlmayr, “Excitons with anisotropic effective mass,” <i>European Journal of Physics</i>, vol. 18, no. 5, pp. 374–376, 1997, doi: <a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>.","ama":"Schindlmayr A. Excitons with anisotropic effective mass. <i>European Journal of Physics</i>. 1997;18(5):374-376. doi:<a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>","mla":"Schindlmayr, Arno. “Excitons with Anisotropic Effective Mass.” <i>European Journal of Physics</i>, vol. 18, no. 5, IOP Publishing and The European Physical Society, 1997, pp. 374–76, doi:<a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>.","bibtex":"@article{Schindlmayr_1997, title={Excitons with anisotropic effective mass}, volume={18}, DOI={<a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">10.1088/0143-0807/18/5/011</a>}, number={5}, journal={European Journal of Physics}, publisher={IOP Publishing and The European Physical Society}, author={Schindlmayr, Arno}, year={1997}, pages={374–376} }","short":"A. Schindlmayr, European Journal of Physics 18 (1997) 374–376.","apa":"Schindlmayr, A. (1997). Excitons with anisotropic effective mass. <i>European Journal of Physics</i>, <i>18</i>(5), 374–376. <a href=\"https://doi.org/10.1088/0143-0807/18/5/011\">https://doi.org/10.1088/0143-0807/18/5/011</a>"},"publication_identifier":{"eissn":["1361-6404"],"issn":["0143-0807"]},"has_accepted_license":"1","publication_status":"published","doi":"10.1088/0143-0807/18/5/011","date_updated":"2022-11-11T07:00:05Z","volume":18,"author":[{"first_name":"Arno","id":"458","full_name":"Schindlmayr, Arno","orcid":"0000-0002-4855-071X","last_name":"Schindlmayr"}],"abstract":[{"lang":"eng","text":"We present a simple analytic scheme for calculating the binding energy of excitons in semiconductors that takes full account of the existing anisotropy in the effective mass, as a complement to the qualitative treatment in most textbooks. Results obtained for excitons in gallium nitride form the basis for a discussion of the accuracy of this approach."},{"text":"Wir präsentieren ein einfaches analytisches Verfahren zur Berechnung der Bindungsenergie von Exzitonen in Halbleitern, das die vorhandene Anisotropie in der effektiven Masse vollständig miteinbezieht, in Ergänzung zu der qualitativen Betrachtung in den meisten Lehrbüchern. Ergebnisse für Exzitonen in Galliumnitrid bilden die Grundlage für eine Diskussion der Genauigkeit dieser Methode.","lang":"ger"}],"file":[{"date_created":"2020-08-28T22:05:27Z","date_updated":"2020-08-30T16:24:01Z","file_id":"18627","access_level":"closed","description":"© 1997 IOP Publishing Ltd and The European Physical Society","title":"Excitons with anisotropic effective mass","relation":"main_file","creator":"schindlm","file_name":"Arno_Schindlmayr_1997_Eur._J._Phys._18_011.pdf","file_size":145493,"content_type":"application/pdf"}],"publication":"European Journal of Physics","ddc":["530"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["physics/9709036"]},"year":"1997","quality_controlled":"1","issue":"5","title":"Excitons with anisotropic effective mass","publisher":"IOP Publishing and The European Physical Society","date_created":"2020-08-28T22:03:49Z"},{"publication":"Physical Review B","file":[{"file_name":"PhysRevB.56.3528.pdf","access_level":"open_access","file_id":"18629","title":"Violation of particle number conservation in the GW approximation","file_size":93337,"description":"© 1997 American Physical Society","creator":"schindlm","date_created":"2020-08-28T22:08:35Z","date_updated":"2020-08-30T16:26:32Z","relation":"main_file","content_type":"application/pdf"}],"abstract":[{"lang":"eng","text":"We present a nontrivial model system of interacting electrons that can be solved analytically in the GW approximation. We obtain the particle number from the GW Green’s function strictly analytically, and prove that there is a genuine violation of particle number conservation if the self-energy is calculated non-self-consistently from a zeroth order Green’s function, as done in virtually all practical implementations. We also show that a simple shift of the self-energy that partially restores self-consistency reduces the numerical deviation significantly."}],"external_id":{"arxiv":["cond-mat/9709275"],"isi":["A1997XR96400004"]},"language":[{"iso":"eng"}],"ddc":["530"],"issue":"7","quality_controlled":"1","year":"1997","date_created":"2020-08-28T22:07:22Z","publisher":"American Physical Society","title":"Violation of particle number conservation in the GW approximation","type":"journal_article","status":"public","user_id":"458","_id":"18628","extern":"1","file_date_updated":"2020-08-30T16:26:32Z","isi":"1","article_type":"original","publication_identifier":{"eissn":["1095-3795"],"issn":["0163-1829"]},"has_accepted_license":"1","publication_status":"published","page":"3528-3531","intvolume":"        56","citation":{"mla":"Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW Approximation.” <i>Physical Review B</i>, vol. 56, no. 7, American Physical Society, 1997, pp. 3528–31, doi:<a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>.","short":"A. Schindlmayr, Physical Review B 56 (1997) 3528–3531.","bibtex":"@article{Schindlmayr_1997, title={Violation of particle number conservation in the GW approximation}, volume={56}, DOI={<a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>}, number={7}, journal={Physical Review B}, publisher={American Physical Society}, author={Schindlmayr, Arno}, year={1997}, pages={3528–3531} }","apa":"Schindlmayr, A. (1997). Violation of particle number conservation in the GW approximation. <i>Physical Review B</i>, <i>56</i>(7), 3528–3531. <a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">https://doi.org/10.1103/PhysRevB.56.3528</a>","ama":"Schindlmayr A. Violation of particle number conservation in the GW approximation. <i>Physical Review B</i>. 1997;56(7):3528-3531. doi:<a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>","chicago":"Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW Approximation.” <i>Physical Review B</i> 56, no. 7 (1997): 3528–31. <a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">https://doi.org/10.1103/PhysRevB.56.3528</a>.","ieee":"A. Schindlmayr, “Violation of particle number conservation in the GW approximation,” <i>Physical Review B</i>, vol. 56, no. 7, pp. 3528–3531, 1997, doi: <a href=\"https://doi.org/10.1103/PhysRevB.56.3528\">10.1103/PhysRevB.56.3528</a>."},"volume":56,"author":[{"first_name":"Arno","orcid":"0000-0002-4855-071X","last_name":"Schindlmayr","id":"458","full_name":"Schindlmayr, Arno"}],"date_updated":"2022-11-11T07:00:49Z","oa":"1","doi":"10.1103/PhysRevB.56.3528"},{"type":"journal_article","status":"public","user_id":"458","_id":"18630","file_date_updated":"2020-08-30T16:27:22Z","extern":"1","article_type":"original","isi":"1","publication_status":"published","pmid":"1","publication_identifier":{"eissn":["1095-3795"],"issn":["0163-1829"]},"has_accepted_license":"1","citation":{"apa":"Schindlmayr, A., &#38; Godby, R. W. (1995). Density-functional theory and the v-representability problem for model strongly correlated electron systems. <i>Physical Review B</i>, <i>51</i>(16), 10427–10435. <a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">https://doi.org/10.1103/PhysRevB.51.10427</a>","mla":"Schindlmayr, Arno, and Rex William Godby. “Density-Functional Theory and the v-Representability Problem for Model Strongly Correlated Electron Systems.” <i>Physical Review B</i>, vol. 51, no. 16, American Physical Society, 1995, pp. 10427–35, doi:<a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>.","short":"A. Schindlmayr, R.W. Godby, Physical Review B 51 (1995) 10427–10435.","bibtex":"@article{Schindlmayr_Godby_1995, title={Density-functional theory and the v-representability problem for model strongly correlated electron systems}, volume={51}, DOI={<a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>}, number={16}, journal={Physical Review B}, publisher={American Physical Society}, author={Schindlmayr, Arno and Godby, Rex William}, year={1995}, pages={10427–10435} }","chicago":"Schindlmayr, Arno, and Rex William Godby. “Density-Functional Theory and the v-Representability Problem for Model Strongly Correlated Electron Systems.” <i>Physical Review B</i> 51, no. 16 (1995): 10427–35. <a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">https://doi.org/10.1103/PhysRevB.51.10427</a>.","ieee":"A. Schindlmayr and R. W. Godby, “Density-functional theory and the v-representability problem for model strongly correlated electron systems,” <i>Physical Review B</i>, vol. 51, no. 16, pp. 10427–10435, 1995, doi: <a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>.","ama":"Schindlmayr A, Godby RW. Density-functional theory and the v-representability problem for model strongly correlated electron systems. <i>Physical Review B</i>. 1995;51(16):10427-10435. doi:<a href=\"https://doi.org/10.1103/PhysRevB.51.10427\">10.1103/PhysRevB.51.10427</a>"},"intvolume":"        51","page":"10427-10435","author":[{"last_name":"Schindlmayr","orcid":"0000-0002-4855-071X","full_name":"Schindlmayr, Arno","id":"458","first_name":"Arno"},{"last_name":"Godby","full_name":"Godby, Rex William","first_name":"Rex William"}],"volume":51,"date_updated":"2022-11-11T07:01:30Z","oa":"1","doi":"10.1103/PhysRevB.51.10427","publication":"Physical Review B","file":[{"file_name":"PhysRevB.51.10427.pdf","file_size":541229,"creator":"schindlm","content_type":"application/pdf","file_id":"18631","access_level":"open_access","title":"Density-functional theory and the v-representability problem for model strongly correlated electron systems","description":"© 1995 American Physical Society","date_created":"2020-08-28T22:11:01Z","date_updated":"2020-08-30T16:27:22Z","relation":"main_file"}],"abstract":[{"text":"Inspired by earlier work on the band-gap problem in insulators, we reexamine the treatment of strongly correlated Hubbard-type models within density-functional theory. In contrast to previous studies, the density is fully parametrized by occupation numbers and overlap of orbitals centered at neighboring atomic sites, as is the local potential by the hopping matrix. This corresponds to a good formal agreement between density-functional theory in real space and second quantization. It is shown that density-functional theory is formally applicable to such systems and the theoretical framework is provided. The question of noninteracting v representability is studied numerically for finite one-dimnsional clusters, for which exact results are available, and qualitatively for infinite systems. This leads to the conclusion that the electron density corresponding to interacting systems of the type studied here is in fact not noninteracting v representable because the Kohn-Sham electrons are unable to reproduce the correlation-induced localization correctly.","lang":"eng"}],"external_id":{"isi":["A1995QW28400017"],"arxiv":["cond-mat/9709266"],"pmid":["9977737"]},"language":[{"iso":"eng"}],"ddc":["530"],"issue":"16","quality_controlled":"1","year":"1995","date_created":"2020-08-28T22:09:57Z","publisher":"American Physical Society","title":"Density-functional theory and the v-representability problem for model strongly correlated electron systems"}]