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Topological States in 1D Photonic Quasi-crystals

Published online by Cambridge University Press:  29 August 2014

M.S. Vasconcelos  and
E.L. Albuquerque
M.S. Vasconcelos
Affiliation:
Escola de Ciência e Tecnologia, UFRN, 59072-970, Natal – RN, Brazil
E.L. Albuquerque
Affiliation:
Departamento de Biofísica e Farmacologia, UFRN, 59072-970, Natal – RN, Brazil
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Abstract

We investigated theoretically the transmission spectra in one-dimensional photonic quasicrystals (1DPQ) made up from dielectric materials organized in accordance to a discrete varying electric permittivity profile that obeys an analogous of the quasiperiodic potential in the so-called Audry-André (AA) model, in order to modulate the refraction index. Our results show that due to the incommensurate dielectric distribution, the spectrum splits into a fractal set of pass- and forbidden-band structure. By studying the transmission spectra as a function of the modulation phase ϕ, we found boundary states lying within the gaps localized either on the left or on the right boundary of the system, characterizing the so-called topological states.

Keywords

quasicrystaldielectric propertiesfractal
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1698: Symposium II/JJ/KK – Materials, Processes and Devices for Nanophotonics, Nonlinear Optics and Resonant Optics , 2014 , mrss14-1698-ii08-07
Copyright
Copyright © Materials Research Society 2014 

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References

REFERENCES

Hasan, M. Z. and Kane, C. L., Rev. Mod. Phys. 82, 3045 (2010).Google Scholar
Bernevig, B. A., Hughes, T. L., and Zhang, S.-C., Science 314, 1757 (2006).Google Scholar
Konig, M. et al. , Science 318, 766 (2007).Google Scholar
Kraus, Y. E. et al. , Phys. Rev. Lett. 109, 106402 (2012).CrossRefGoogle Scholar
Aubry, S. and André, G., Ann. Isr. Phys. Soc. 3, 133 (1980).Google Scholar
Hofstadter, D. R., Phys. Rev. B 14, 2239 (1976).Google Scholar
Vasconcelos, M. S., Mauriz, P. W., De Medeiros, F. F. and Albuquerque, E. L., Phys. Rev. 76, 165117 (2007).CrossRefGoogle Scholar
Vasconcelos, M. S., Albuquerque, E.L. and Mariz, A.M., J. Phys.: Condens. Matter 10, 5839 (1998).Google Scholar
Vasconcelos, M. S. and Albuquerque, E. L., Phys. Rev. 59, 11128–11131 (1999).CrossRefGoogle Scholar
Albuquerque, E. L. and Cottam, M.G., Solid State Commun. 81 383-386 (1992).CrossRefGoogle Scholar