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Jahn-Teller Effect In Photonic Crystals

Published online by Cambridge University Press:  01 February 2011

Natalia Malkova  and
Venkatraman Gopalan
Natalia Malkova
Affiliation:
Materials Research Institute, the Pennsylvania State University, University Park, 16802 PA
Venkatraman Gopalan
Affiliation:
Materials Research Institute, the Pennsylvania State University, University Park, 16802 PA
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Abstract

The Jahn-Teller effect in photonic crystals as a prototype of photon-phonon interactions is studied. We are interested in removing the degeneracy of a defect state due to coupling with vibronic mode. Two-dimensional square photonic lattice of the dielectric rods in vacuum doped by the defect rod, giving the doubly degenerate E state in the first TM band gap is studied. We show that coming from the Jahn-Teller theorem, the lattice vibration with the symmetry of B1 and B2 modes should result in splitting the degeneracy of the E photon state, the lattice vibration being frozen. The stable configuration in the presence of the Jahn-Teller effect is determined from the dependence of the energy as a function of the rod displacement. Using the value of the vibronic constants, obtained from the suppercell plane wave calculations and the Finite Difference Time Domain simulations, we find the stable configuration of the lattice. We discuss the conditions to observe the effect.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 797: Symposium W – Engineered Porosity for Microphotonics and Plasmonics , 2003 , W3.3
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1. Photonic Crystals and Light Localization in the 21st Centery, edited by C.M., Soukoulis, NATO Science Series, v.563 (Klumer Academic Publishers, 2001).Google Scholar
2. Scalora, M., Bloemer, M. J., Manka, A. S., Dowling, J. P., Bownden, C. M., Viswanathan, R. and Haus, J. W., Phys. Rev. A 56, p. 3166 (1997);Google Scholar
Tocci, M. D., Scalora, M., Bloemer, M. J., Dowling, J. P. and Bowden, C. M., Phys. Rev. A 53 p. 2799 (1996).Google Scholar
3. Winn, J. N., Fan, S., Joannopoulos, J. D., Phys. Rev. B 59, 1551 (1999).Google Scholar
4. Malkova, N., Kim, S., Gopalan, V., Phys. Rev. B 68, 045105 (2003);Google Scholar
Malkova, N., Kim, S., Gopalan, V., J. Phys.: Condensed Matter 15 4535 (2003).Google Scholar
5. Bersuker, I. B. The Jahn-Teller Effect and Vibronic Interactions in Modern Chemistry, Plenum Press, New York and London, 1983.Google Scholar
6. Sakoda, K., Shiroma, H., Phys. Rev. B 56, 4830 (1997).Google Scholar
7. Kim, S., Gopalan, V., Appl. Phys. Letters 78, 3015 (2001).Google Scholar
8. Malkova, N., Kim, S., Gopalan, V., Appl. Phys. Letters 83, 1509 (2003);Google Scholar
Malkova, N., Gopalan, V., Phys. Rev. B to be published (2003).Google Scholar