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
The equation is based on the rule of the differentiation of an implicit function.
REFERENCES
Raghu, S. and Haldane, F.D.M., Phys. Rev. A, 2008, vol. 78, p. 033834.
Hasan, M.Z. and Kane, C.L., Rev. Mod. Phys., 2010, vol. 82, no. 4, p. 3045.
Zhai, H., Rechtsman, M., Lu, Y.-M., and Yang, K., J. Phys. A, 2016, vol. 18, p. 080201.
Yannopapas, V., Phys. Rev. A, 2013, vol. 88, p. 043837.
Poo, Y., Wu, R.-X., Lin, Zh., et al., Phys. Rev. Lett., 2011, vol. 106, p. 093903.
Lu, J.-C., Chen, X.-D., Deng, W.-M., et al., J. Opt., 2018, vol. 20, p. 075103.
Banerjee, R., Liew, T.C.H., and Kyriienko, O., Phys. Rev. B, 2018, vol. 98, p. 075412.
Ablowitz, M.J., Curtis, Ch.W., and Zhu, Yi, Phys. Rev. A, 2013, vol. 88, p. 013850.
Ablowitz, M.J., Curtis, Ch.W., and Ma, Yi-P., Phys. Rev. A, 2014, vol. 90, p. 23813.
Ablowitz, M.J. and Cole, J.T., Phys. Rev. A, 2017, vol. 96, p. 043868.
Lyashko, E.I., Maimistov, A.I., and Gabitov, I.R., arXiv: 1706.05951v1 [physics.optics].
Maimistov, A.I. and Lyashko, E.I., Bull. Russ. Acad. Sci.: Phys., 2018, vol. 82, no. 1, p. 21.
Karch, A., Phys. Rev. B, 2011, vol. 3, p. 245432 .
Qi, X.-L., Hughes, T.L., and Zhang, Sh.-Ch., Phys. Rev. B, 2008, vol. 78, p. 195424.
Maimistov, A.I. and Basharov, A.M., Nonlinear Optical Waves, Kluwer Academic, 1999.
Vinogradova, M.B., Rudenko, O.V., and Sukhorukov, A.P., Teoriya voln (Wave Theory), Moscow: URRS Lenand, 2015.
Ryskin, N.M. and Trubetskov, D.I., Nelineinye volny (Nonlinear Waves), Moscow: URRS Lenand, 2017.
Agranovich, V.M., Babichenko, V.C., and Chernyak, V.Ya., JETP Lett., 1980, vol. 32, no. 8, p. 512.
Michalache, D. and Mazilu, D., Appl. Phys. B, 1985, vol. 37, no. 2, p. 107.
Michalache, D. and Mazilu, D., Appl. Phys. B, 1986, vol. 41, no. 2, p. 119.
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This work was supported by the Russian Foundation for Basic Research, project no. 18-02-00921.
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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