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Giant non-linear susceptibility of hydrogenic donors in silicon and germanium

Nguyen, H. Le, Lanskii, Grigory V., Aeppli, G. Aeppli and Murdin, B.N. Murdin (2019) Giant non-linear susceptibility of hydrogenic donors in silicon and germanium Light: Science & Applications, 8, 64. pp. 1-7.

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Abstract

Implicit summation is a technique for 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 X(3)n3D = 2:9 to 580x10-38m5V2 depending on the frequency even while avoiding resonance. Using samples of 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 X(3) should exceed that of bulk InSb and X(3)L should exceed that of graphene and resonantly enhanced quantum wells.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
NameEmailORCID
Nguyen, H. Lehung.nguyen@surrey.ac.uk
Lanskii, Grigory V.
Aeppli, G. Aeppli
Murdin, B.N. MurdinB.Murdin@surrey.ac.uk
Date : 10 July 2019
Funders : Engineering and Physical Sciences Research Council (EPSRC)
DOI : 10.1038/s41377-019-0174-6
Copyright Disclaimer : Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
Depositing User : Clive Harris
Date Deposited : 11 Jun 2019 14:41
Last Modified : 23 Jul 2019 15:27
URI: http://epubs.surrey.ac.uk/id/eprint/851969

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