### Session F13: Topological Insulators: Theory I

8:00 AM–11:00 AM, Tuesday, March 19, 2013
Room: 315

Chair: Pouyan Ghaemi, University of Illinois

Abstract ID: BAPS.2013.MAR.F13.2

### Abstract: F13.00002 : Weyl points and line nodes in gapless gyroid photonic crystals

8:12 AM–8:24 AM

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#### Authors:

Ling Lu
(Department of Physics, Massachusetts Institute of Technology)

Liang Fu
(Department of Physics, Massachusetts Institute of Technology)

John Joannopoulos
(Department of Physics, Massachusetts Institute of Technology)

Marin Soljacic
(Department of Physics, Massachusetts Institute of Technology)

Weyl points and line nodes are three-dimensional linear point- and line-degeneracies between two bands. In contrast to Dirac points, which are their two-dimensional analogues, Weyl points are stable in the momentum space and the associated surface states are predicted to be topologically non-trivial. However, Weyl points are yet to be discovered in nature. Here, we report photonic crystals, based on the double-gyroid structures, exhibiting frequency-isolated Weyl points with complete phase diagrams by breaking the parity and time-reversal symmetries. The surface states associated with the non-zero Chern numbers are demonstrated. Line nodes are also found in similar geometries; the associated surface states are shown to be at bands. Our results are based on realistic numerical experiments'' with true predictive power and should be readily experimentally realizable at both microwave and optical frequencies.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2013.MAR.F13.2