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DY: Fachverband Dynamik und Statistische Physik
DY 29: Quantum Chaos I
DY 29.6: Talk
Thursday, March 17, 2011, 11:30–11:45, ZEU 255
A spectrum and the eigenfunctions of a rectangular microwave Dirac billard — Stefan Bittner1, Barbara Dietz1, •Maksym Miski-Oglu1, and Achim Richter1,2 — 1Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany — 2ECT*, Villa Tambosi, I-38100 Villazzano (Trento), Italy
A spectrum and the eigenfunctions of a rectangular microwave Dirac billard have been measured. The microwave Dirac billiard is a rectangular microwave billiard filled with a photonic crystal consisting of a triangular lattice of metallic cylinders. In the frequency range around the Dirac point two bands approach each other as a pair of cones, i.e. the dispersion relation of the photonic crystal resembles the spectrum of relativistic massless fermions. Microwave power is coupled into (out of) the microwave billiard via dipole antennas and the transmitted power is measured. The eigenvalues of a Dirac billiard correspond to resonances in the transmission spectra. The eigenfunctions are measured by a so-called perturbation body method. Arround the Dirac frequency the eigenfunctions show a clear localization along the Γ K direction of the photonic crystal which corresponds to the zigzag edge in graphene. The observed states are analogous to edge states in graphene nanoribbons.
This work has been supported within the DFG grant SFB634.