{"date_updated":"2023-04-02T20:49:34Z","intvolume":"        58","issue":"8","abstract":[{"text":"Closed Green-function expressions for the third-order response of semiconductors are derived by mapping the two-band model onto the much simpler molecular (Frenkel) Hamiltonian. The signatures of two-exciton resonances are incorporated through the exciton scattering matrix, totally avoiding the explicit calculation of two-exciton states. Exact expressions for the nonlinear optical response of two-dimensional semiconductor nanostructures in a strong perpendicular magnetic field are derived by truncating at the n=1 Landau level, and using the symmetry of the system and a group-theoretical analysis. We find that the nonlinear optical response depends crucially on asymmetries between particle-particle and particle-hole Coulomb interactions.","lang":"eng"}],"extern":"1","title":"Effective Frenkel Hamiltonian for optical nonlinearities in semiconductors: Application to magnetoexcitons","author":[{"id":"344","first_name":"Torsten","last_name":"Meier","full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072"},{"last_name":"Chernyak","full_name":"Chernyak, V.","first_name":"V."},{"full_name":"Yokojima, S.","last_name":"Yokojima","first_name":"S."},{"first_name":"S.","full_name":"Mukamel, S.","last_name":"Mukamel"}],"main_file_link":[{"url":"https://journals.aps.org/prb/abstract/10.1103/PhysRevB.58.4496"}],"doi":"10.1103/PhysRevB.58.4496","date_created":"2023-04-02T20:49:32Z","publication_status":"published","department":[{"_id":"293"}],"volume":58,"page":"4496-4516","language":[{"iso":"eng"}],"publication":"Physical Review B","year":"1998","user_id":"49063","_id":"43341","status":"public","citation":{"chicago":"Meier, Torsten, V. Chernyak, S. Yokojima, and S. Mukamel. “Effective Frenkel Hamiltonian for Optical Nonlinearities in Semiconductors: Application to Magnetoexcitons.” <i>Physical Review B</i> 58, no. 8 (1998): 4496–4516. <a href=\"https://doi.org/10.1103/PhysRevB.58.4496\">https://doi.org/10.1103/PhysRevB.58.4496</a>.","mla":"Meier, Torsten, et al. “Effective Frenkel Hamiltonian for Optical Nonlinearities in Semiconductors: Application to Magnetoexcitons.” <i>Physical Review B</i>, vol. 58, no. 8, American Physical Society, 1998, pp. 4496–516, doi:<a href=\"https://doi.org/10.1103/PhysRevB.58.4496\">10.1103/PhysRevB.58.4496</a>.","apa":"Meier, T., Chernyak, V., Yokojima, S., &#38; Mukamel, S. (1998). Effective Frenkel Hamiltonian for optical nonlinearities in semiconductors: Application to magnetoexcitons. <i>Physical Review B</i>, <i>58</i>(8), 4496–4516. <a href=\"https://doi.org/10.1103/PhysRevB.58.4496\">https://doi.org/10.1103/PhysRevB.58.4496</a>","short":"T. Meier, V. Chernyak, S. Yokojima, S. Mukamel, Physical Review B 58 (1998) 4496–4516.","ama":"Meier T, Chernyak V, Yokojima S, Mukamel S. Effective Frenkel Hamiltonian for optical nonlinearities in semiconductors: Application to magnetoexcitons. <i>Physical Review B</i>. 1998;58(8):4496-4516. doi:<a href=\"https://doi.org/10.1103/PhysRevB.58.4496\">10.1103/PhysRevB.58.4496</a>","ieee":"T. Meier, V. Chernyak, S. Yokojima, and S. Mukamel, “Effective Frenkel Hamiltonian for optical nonlinearities in semiconductors: Application to magnetoexcitons,” <i>Physical Review B</i>, vol. 58, no. 8, pp. 4496–4516, 1998, doi: <a href=\"https://doi.org/10.1103/PhysRevB.58.4496\">10.1103/PhysRevB.58.4496</a>.","bibtex":"@article{Meier_Chernyak_Yokojima_Mukamel_1998, title={Effective Frenkel Hamiltonian for optical nonlinearities in semiconductors: Application to magnetoexcitons}, volume={58}, DOI={<a href=\"https://doi.org/10.1103/PhysRevB.58.4496\">10.1103/PhysRevB.58.4496</a>}, number={8}, journal={Physical Review B}, publisher={American Physical Society}, author={Meier, Torsten and Chernyak, V. and Yokojima, S. and Mukamel, S.}, year={1998}, pages={4496–4516} }"},"publisher":"American Physical Society","type":"journal_article"}