Observation of surface frequency doubling in Si(111) mediated by a $$\chi ^4$$ process

Abstract Nonlinear optical processes such as second-harmonic generation (SHG) provide powerful probes of the structural and electronic properties of semiconductor surfaces and interfaces. While SHG in centrosymmetric materials like silicon has been extensively investigated, higher-order nonlinear contributions remain largely unexplored. Here, we report for the first time the observation of a $$\chi ^4$$ -mediated contribution to SHG from Si(111)– $$SiO_2$$ interfaces, revealed through intensity scaling and azimuthal anisotropy measurements. The frequency-doubled signal exhibits both quadratic and quartic dependence on the incident intensity, with the quartic term displaying a distinct threefold symmetry superimposed on the conventional sixfold SHG pattern. This identifies a previously unreported pathway for nonlinear emission at silicon surfaces. These results were enabled by high-intensity excitation near the laser-induced damage threshold, combined with automated high-sensitivity detection.

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Publication Details

Journal
Scientific Reports
Published
2026-11-11
DOI
https://doi.org/10.1038/s41598-026-70079-3
Primary Topic
Photorefractive and Nonlinear Optics
Type
article
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article

Observation of surface frequency doubling in Si(111) mediated by a $$\chi ^4$$ process

C. Priebe, A. Silva, G. Figueira, H. Pires et al.
Scientific Reports
Photorefractive and Nonlinear Optics
article

Observation of surface frequency doubling in Si(111) mediated by a $$\chi ^4$$ process

C. Priebe, A. Silva, G. Figueira, H. Pires, H. Gomes
article en

Abstract

Abstract Nonlinear optical processes such as second-harmonic generation (SHG) provide powerful probes of the structural and electronic properties of semiconductor surfaces and interfaces. While SHG in centrosymmetric materials like silicon has been extensively investigated, higher-order nonlinear contributions remain largely unexplored. Here, we report for the first time the observation of a $$\chi ^4$$ -mediated contribution to SHG from Si(111)– $$SiO_2$$ interfaces, revealed through intensity scaling and azimuthal anisotropy measurements. The frequency-doubled signal exhibits both quadratic and quartic dependence on the incident intensity, with the quartic term displaying a distinct threefold symmetry superimposed on the conventional sixfold SHG pattern. This identifies a previously unreported pathway for nonlinear emission at silicon surfaces. These results were enabled by high-intensity excitation near the laser-induced damage threshold, combined with automated high-sensitivity detection.

Scientific Reports
University of Lisbon (PT), Technical University of Applied Sciences Lübeck (DE), Instituto Superior Técnico (PT), Universidade Nova de Lisboa (PT), University of Lübeck (DE)
Photorefractive and Nonlinear Optics
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