{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/giant-non-linear-susceptibility-of-hydrogenic","title":"Giant non-linear susceptibility of hydrogenic donors in silicon and germanium","arxiv_id":"1808.04195","date":"2018-08-13","proceeding":null,"authors":["Nguyen H. Le","Grigory V. Lanskii","G. Aeppli","B. N. Murdin"],"abstract":"Implicit summation is a technique for the conversion of sums over intermediate states in multiphoton absorption and the high-order susceptibility in hydrogen into simple integrals. Here, we derive the equivalent technique for hydrogenic impurities in multi-valley semiconductors. While the absorption has useful applications, it is primarily a loss process; conversely, the non-linear susceptibility is a crucial parameter for active photonic devices. For Si:P, we predict the hyperpolarizability ranges from $\\chi^{(3)}/n_{\\text{3D}}=2.9 $ to $580 \\times 10^{-38}$ $\\text{m}^5/\\text{V}^2$ depending on the frequency, even while avoiding resonance. Using samples of a reasonable density, $n_{\\text{3D}}$, and thickness, $L$, to produce third-harmonic generation at 9 THz, a frequency that is difficult to produce with existing solid-state sources, we predict that $\\chi^{(3)}$ should exceed that of bulk InSb and $\\chi^{(3)}L$ should exceed that of graphene and resonantly enhanced quantum wells.","url_abs":"http://arxiv.org/abs/1808.04195v2","url_pdf":"http://arxiv.org/pdf/1808.04195v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"giant-non-linear-susceptibility-of-hydrogenic","repo_url":"https://github.com/lehnqt/chi3","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}