Photonic/Phononic crystals: Classical analogue of Dirac cones

We offered a “selection rule” to examine the linearity of the dispersion, predicted the slope of the linear dispersion accurately, and clarified the concepts of the Dirac cone and the Dirac-like cone.

Details

Photonic and phononic crystals are structured materials with periodic modulations in their physical parameters. Due to their wide applications in molding the flow of electromagnetic, acoustic and elastic waves, they have attracted much attention especially in the band gaps.

Recently, an interesting type of band structure was found for phoXonic crystals, which is a classical analogue of the Dirac cones. We used the k.p method to study such type of band structures and

offered a “selection rule” to examine the linearity of the dispersion based on the group analysis
predicted the slope of the linear dispersion
clarified the concepts of the Dirac cone and the Dirac-like cone by calculating the Berry phase

Collaborators
Prof. Zhaoqing Zhang, Prof. C. T. Chan, Prof. Jun Mei, Ms. Yan Li

Publications
Jun Mei, Ying Wu, C. T. Chan, and Zhao-Qing Zhang, “First-principles study of Dirac andDirac-like cones in phononic and photonic crystals” Phys. Rev. B 86, 035141 (2012).

Photonic/Phononic crystals: Classical analogue of Dirac cones

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Waves in Complex Media (WCM)