Skip to main content
Log in

Influence of the Nonlocal Effect on the Optical Properties of Nonspherical Plasmonic Semiconductor Nanoparticles

  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Noble metals are commonly used as plasmon materials because of their high density of free electrons, but semiconductor materials are also becoming of interesting in this field because its electron density can be varied by doping. Metal nitrides can be an alternative to noble metals because of their low absorption loss and high electron density. Among others, TiN and ZrN seem to be most suitable as alternative plasmonic materials because their optical properties are dominated by conduction electrons near the plasmon frequency. There is the flame spray pyrolysis process, which is currently developed to produce such kind of nanoparticles. In this paper, based on an extension of the discrete sources method, the effect of the hydrodynamic Drude model of the quantum nonlocal effect on the optical characteristics of semiconductor nanoparticles is analyzed. The influence of accounting for the nonlocal effect (NLE) on the optical properties under spherical particles deformation has been investigated. It has been shown that accounting for the NLE leads to a plasmon resonance blue shift and a damping similar to noble metals. It was found that smaller particles demonstrate larger NLE influence than larger ones. Besides, the influence of polarization on the local and nonlocal responses of 3D nonspherical semiconductor particles has been investigated as well. Using simulation accounting for the nonlocal effect, it is shown that the extinction of a nonspherical ZrN particles exceeds that of a gold particle.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Trügler, Optical Properties of Metallic Nanoparticles, Springer International Publishing, Switzerland (2016).

  2. S. Maier, Plasmonics: Fundamentals and Applications, Springer, New York (2007).

  3. H. Atwater, “The promise of plasmonics,” Sci. Am., 296, 56–62 (2007).

    Article  Google Scholar 

  4. G. Naik, V. Shalaev, and A. Boltasseva, “Alternative plasmonic materials: Beyond gold and silver,” Adv. Mater., 25, 3264–3294 (2013).

    Article  Google Scholar 

  5. S. Fan, “Photovoltaics: An alternative ‘Sun’ for solar cells,” Nature Nanotechnol., 9, 92–93 (2014).

    Article  Google Scholar 

  6. U. Guler, V. Shalaev, and A. Boltasseva, “Nanoparticle plasmonics: going practical with transition metal nitrides,” Mater. Today, 18, No. 4, 227–237 (2015).

    Article  Google Scholar 

  7. A. Comin and L. M. L., “New materials for tunable plasmonic colloidal nanocrystals,” Chem. Soc. Rev., 43, 3957–3975 (2014).

  8. Y. Zhong, S. Malagari, T. Hamilton, and D. Wasserman, “Review of mid-infrared plasmonic materials,” J. Nanophotonics, 9, 093791 (2015).

    Article  Google Scholar 

  9. A. Agrawal, S. H. Cho, O. Zandi, and et al., “Localized surface plasmon resonance in semiconductor nanocrystals.” Chem. Rev., 118, 3121–3207 (2018).

    Article  Google Scholar 

  10. U. Kortshagen, R. Sankaran, R. Pereira, and et al., “Nonthermal plasma synthesis of nanocrystals: Fundamental principles, materials, and applications,” Chem. Rev., 116, 18, 11061–11127 (2016).

    Article  Google Scholar 

  11. P. Patsalas, N. Kalfagiannis, S. Kassavetis, G. Abadias, D. Bellas, C. Lekka, and E. Lidorikis, “Conductive nitrides: Growth principles, optical and electronic properties, and their perspectives in photonics and plasmonics,” Mater. Sci. and Eng. R., 123, 1–55 (2018).

    Article  Google Scholar 

  12. M. Kumar, S. Ishii, N. Umezawa, and T. N. T., “Band engineering of ternary metal nitride system Ti1-x ZrxN for plasmonic applications,” Opt. Mater. Express, 6, 1, 29–38 (2016).

  13. A. Boltasseva and H. Atwater, “Low-loss plasmonic metamaterials,” Science, 331, 6015, 290–291 (2011).

    Article  Google Scholar 

  14. G. Naik., J. Schroeder, X. Ni, and et al., “Titanium nitride as a plasmonic material for visible and near-infrared wavelengths,” Opt. Materials Express, 2, No. 4, 478–489 (2012).

  15. W. Y. Teoh, R. Amal, and L. Mädler, “Flame spray pyrolysis: An enabling technology for nanoparticles design and fabrication,” Nanoscale, 2, 1324–1347 (2010).

    Article  Google Scholar 

  16. M. Mendes, A. Luque, I. Tobias, and A. Marti, “Plasmonic light enhancement in the near-field of metallic nanospheroids for application in intermediate band solar cells,” Appl. Phys. Lett., 95, 071105 (2009).

    Article  Google Scholar 

  17. A. Lalisse, G. Tessier, J. Plain, and G. Baffou, “Plasmonic efficiencies of nanoparticles made of metal nitrides (TiN, ZrN) compared with gold,” Sci. Rep., 6, N38647 (2016).

    Article  Google Scholar 

  18. C. David and F. G. de Abajo, “Spatial nonlocality in the optical response of metal nanoparticles,” J. Phys. Chem. C., 115, 19470–19475 (2011).

    Article  Google Scholar 

  19. S. Raza, S. Bozhevolnyi, M. Wubs, and N. Mortensen, “Nonlocal optical response in metallic nanostructures. Topical Review,” J. Phys.: Condens. Matter, 27, 3204–3300 (2015).

  20. M. Wubs and A. Mortensen, “Nonlocal response in plasmonic nanostructures. Quantum plasmonics,” in: Quantum Plasmonics, S. Bozhevolnyi, et al., Eds., Springer, Switzerland (2017), pp. 279–302.

  21. J. R. Maack, N. A. Mortensen, and M. Wubs, “Size-dependent nonlocal effects in plasmonic semiconductor particles,” Europhys. Lett., 119, No. 1, 17003 (2017).

  22. Y. Eremin, A. Doicu, and T. Wriedt, “Discrete sources method for modeling the nonlocal optical response of a nonspherical particle dimer,” J. Quantit. Spectrosc. and Radiat. Transfer, 217, 35–44 (2018).

    Article  Google Scholar 

  23. Y. Eremin, T. Wriedt, and W. Hergert, “Analysis of the scattering properties of 3D non-spherical plasmonic nanoparticles accounting for nonlocal effects,” J. of Mod. Optics, 65, No. 15, 1778–1786 (2018).

    Article  Google Scholar 

  24. A. Doicu, Y. Eremin, and T. Wriedt, Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources, Academic Press, Boston (2000).

  25. N. Bahvalov, Numerical Methods: Analysis, Algebra, Ordinary Differential Equations, Mir, Moscow (1977).

  26. C. Colton and R. Kress, Integral Equation Methods in Scattering Theory, John Wiley & Sons, New York (1983).

  27. R. Newton, “Optical theorem and beyond,” Am. J. Phys., 44, No. 7, 639–642 (1976).

    Article  Google Scholar 

  28. www.refractiveindex.info.

  29. P. B. Johnson and R. Christy, “Optical constants of the noble metals.” Phys. Rev. B, 6, 4370–4379 (1972).

    Article  Google Scholar 

  30. P. Patsalas and N. K. S. Kassavetis, “Optical properties and plasmonic performance of titanium nitride. Review,” Materials, 8, 3128–3154 (2015).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Wriedt.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Eremin, Y.A., Mädler, L. & Wriedt, T. Influence of the Nonlocal Effect on the Optical Properties of Nonspherical Plasmonic Semiconductor Nanoparticles. Comput Math Model 31, 58–74 (2020). https://doi.org/10.1007/s10598-020-09476-w

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10598-020-09476-w

Keywords

Navigation