caa a22 4500 569311535 20190828041515.0 cr unu---uuuuu 190727s2019 xx s 000 0 eng 10.3929/ethz-b-000354216 doi 10.1038/s41377-019-0174-6 doi (ETHRESEARCH)oai:www.research-collection.ethz.ch:20.500.11850/354216 Giant non-linear susceptibility of hydrogenic donors in silicon and germanium [Elektronische Daten] [Nguyen H. Le, Grigory V. Lanskii, Gabriel Aeppli, Benedict N. Murdin] Open access ethresearch 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 χ(3)/n3D = 2.9 to 580 × 10−38 m5/V2 depending on the frequency, even while avoiding resonance. Using samples of a reasonable density, n3D, 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 χ(3) should exceed that of bulk InSb and χ(3)L should exceed that of graphene and resonantly enhanced quantum wells. Creative Commons Attribution 4.0 International http://creativecommons.org/licenses/by/4.0 ethresearch Le Nguyen H. joint author Lanskii Grigory V. joint author Aeppli Gabriel joint author Murdin Benedict N. joint author Light: Science & Applications London : Nature Publishing Group 8 (1), p. 64 2047-7538 http://hdl.handle.net/20.500.11850/354216 text/html WWW-Backlink auf das Repository (Open access) 1 Journal Article ethresearch ETHRESEARCH 856 40 http://hdl.handle.net/20.500.11850/354216 text/html WWW-Backlink auf das Repository (Open access) ETHRESEARCH 700 1- Le Nguyen H. joint author ETHRESEARCH 700 1- Lanskii Grigory V. joint author ETHRESEARCH 700 1- Aeppli Gabriel joint author ETHRESEARCH 700 1- Murdin Benedict N. joint author ETHRESEARCH 773 0- Light: Science & Applications London : Nature Publishing Group 8 (1), p. 64 2047-7538 BK010053 XK010053 XK010000 ETHRESEARCH ETHRESEARCH ETHRESEARCH Journal Article Open access