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DY: Fachverband Dynamik und Statistische Physik

DY 26: Quantum Chaos I

DY 26.6: Talk

Thursday, March 14, 2013, 11:15–11:30, H47

Edge states in a rectangular microwave Dirac billiard — •Maksym Miski-Oglu, Barbara Dietz, Christof Cuno, Tobias Klaus, Marco Masi, and Achim Richter — Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany

We present results on the experimental investigation of edge states in a superconducting microwave Dirac billiard. A rectangular microwave billiard is filled with metallic cylinders which form a photonic crystal with a triangular lattice. In the vicinity of a certain frequency, the so called Dirac frequency, the dispersion relation for electromagnetic waves in a photonic crystal is similar to that of a relativistic massless fermion and the Helmholtz equation reduces to the Dirac equation. The localized states, so called edge states, occur in the vicinity of the Dirac frequency. Their resonance frequencies are extracted from the measured transmission spectra and compared with predictons in the context of the semiclassical theory.