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Regensburg 2010 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 22: Graphene 2 (Joint Session with TT)

HL 22.11: Talk

Tuesday, March 23, 2010, 12:15–12:30, H21

Analog of graphene using microwave photonic crystals — •Maksim Miski-Oglu1, Stefan Bittner1, Barbara Dietz1, Pedro Oria Iriarte1, Achim Richter1,2, and Florian Schaefer31Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany — 2ECT*, Villa Tambosi, I-38100 Villazzano (Trento), Italy — 3LENS, University of Florence, I-50019 Sesto-Fiorentino (Firenze), Italy

A Dirac spectrum has been measured in a microwave photonic crystal consisting of a triangular lattice of metallic cylinders placed between two metallic plates. Up to a certain excitation frequency the wave propagation in this structure is governed by the 2D Helmholz equation with Dirichlet conditions at the boundaries of the cylinders. Microwave power is coupled into the periodioc structure via one dipole antenna and the reflected power is measured. It is proportional to the local density of states at the position of the antenna. In a Dirac spectrum the local density of states tends to zero linearly with the frequency at the Dirac point where two bands approach each other as a pair of cones. This linear character of the dispersion relation is clearly seen in the measured reflection spectra. These and measured wave functions are presented in the talk. It is argued, that these experiments offer the possibility to study a variety of phenomena connected with graphene as well as with QED in the table top experiments in photonic crystals with well controlled parameters.

This work has been supported within the DFG grant SFB634.

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