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Nonlinear Waves at the Interface between a Dielectric and a Topological Insulator

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A system of equations for two components of the electric field of a surface wave propagating along the interface between a nonlinear dielectric and topological insulator is derived, based on the dispersion relation for a nonlinear mode. The system is used to show that small disturbances of a steady-state surface wave neither attenuate nor increase over time.

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Notes

  1. The equation is based on the rule of the differentiation of an implicit function.

REFERENCES

  1. Raghu, S. and Haldane, F.D.M., Phys. Rev. A, 2008, vol. 78, p. 033834.

    Article  ADS  Google Scholar 

  2. Hasan, M.Z. and Kane, C.L., Rev. Mod. Phys., 2010, vol. 82, no. 4, p. 3045.

    Article  ADS  Google Scholar 

  3. Zhai, H., Rechtsman, M., Lu, Y.-M., and Yang, K., J. Phys. A, 2016, vol. 18, p. 080201.

    Google Scholar 

  4. Yannopapas, V., Phys. Rev. A, 2013, vol. 88, p. 043837.

    Article  ADS  Google Scholar 

  5. Poo, Y., Wu, R.-X., Lin, Zh., et al., Phys. Rev. Lett., 2011, vol. 106, p. 093903.

    Article  ADS  Google Scholar 

  6. Lu, J.-C., Chen, X.-D., Deng, W.-M., et al., J. Opt., 2018, vol. 20, p. 075103.

    Article  ADS  Google Scholar 

  7. Banerjee, R., Liew, T.C.H., and Kyriienko, O., Phys. Rev. B, 2018, vol. 98, p. 075412.

    Article  ADS  Google Scholar 

  8. Ablowitz, M.J., Curtis, Ch.W., and Zhu, Yi, Phys. Rev. A, 2013, vol. 88, p. 013850.

    Article  ADS  Google Scholar 

  9. Ablowitz, M.J., Curtis, Ch.W., and Ma, Yi-P., Phys. Rev. A, 2014, vol. 90, p. 23813.

    Article  ADS  Google Scholar 

  10. Ablowitz, M.J. and Cole, J.T., Phys. Rev. A, 2017, vol. 96, p. 043868.

    Article  ADS  Google Scholar 

  11. Lyashko, E.I., Maimistov, A.I., and Gabitov, I.R., arXiv: 1706.05951v1 [physics.optics].

  12. Maimistov, A.I. and Lyashko, E.I., Bull. Russ. Acad. Sci.: Phys., 2018, vol. 82, no. 1, p. 21.

    Article  MathSciNet  Google Scholar 

  13. Karch, A., Phys. Rev. B, 2011, vol. 3, p. 245432 .

    Article  ADS  Google Scholar 

  14. Qi, X.-L., Hughes, T.L., and Zhang, Sh.-Ch., Phys. Rev. B, 2008, vol. 78, p. 195424.

    Article  ADS  Google Scholar 

  15. Maimistov, A.I. and Basharov, A.M., Nonlinear Optical Waves, Kluwer Academic, 1999.

    Book  Google Scholar 

  16. Vinogradova, M.B., Rudenko, O.V., and Sukhorukov, A.P., Teoriya voln (Wave Theory), Moscow: URRS Lenand, 2015.

  17. Ryskin, N.M. and Trubetskov, D.I., Nelineinye volny (Nonlinear Waves), Moscow: URRS Lenand, 2017.

  18. Agranovich, V.M., Babichenko, V.C., and Chernyak, V.Ya., JETP Lett., 1980, vol. 32, no. 8, p. 512.

    ADS  Google Scholar 

  19. Michalache, D. and Mazilu, D., Appl. Phys. B, 1985, vol. 37, no. 2, p. 107.

    Article  ADS  Google Scholar 

  20. Michalache, D. and Mazilu, D., Appl. Phys. B, 1986, vol. 41, no. 2, p. 119.

    Article  ADS  Google Scholar 

Download references

Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-02-00921.

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Correspondence to A. I. Maimistov.

Additional information

Translated by M. Astrov

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Maimistov, A.I., Lyashko, E.I. & Elyutin, S.O. Nonlinear Waves at the Interface between a Dielectric and a Topological Insulator. Bull. Russ. Acad. Sci. Phys. 84, 1–4 (2020). https://doi.org/10.3103/S1062873820010177

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  • DOI: https://doi.org/10.3103/S1062873820010177

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