Send to

Choose Destination
See comment in PubMed Commons below
Opt Express. 2012 Apr 23;20(9):9925-39. doi: 10.1364/OE.20.009925.

Double Dirac cones in triangular-lattice metamaterials.

Author information

Photonic Materials Unit, National Institute for Materials Science, 1-1 Namiki, Tsukuba, Ibaraki 305-0044, Japan.


It is shown by tight-binding approximation and group theory that a double Dirac cone, or a pair of two identical Dirac cones, of the electromagnetic dispersion relation can be created in the Brillouin zone center by accidental degeneracy of E(1) and E(2) modes in triangular-lattice metamaterials of C(6v) symmetry. The Dirac point thus obtained is equivalent to a zero-index system, so we can expect unique optical propagation phenomena such as constant-phase waveguides and lenses of arbitrary shapes. Zitterbewegung is also expected without disturbance due to an auxiliary quadratic dispersion surface, which is present for other combinations of mode symmetries to materialize the Dirac cones. To the best of the author's knowledge, this is the first prediction of the presence of a double Dirac cone in metamaterials.

[Indexed for MEDLINE]
PubMed Commons home

PubMed Commons

How to join PubMed Commons

    Supplemental Content

    Loading ...
    Support Center