Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene

Abstract

We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show clear evidence of a Dirac point, a characteristic of a spectrum of relativistic massless fermions. In fact, Dirac points are a peculiar property of the electronic band structure of graphene, whose properties consequently can be described by the relativistic Dirac equation. In the vicinity of the Dirac point, the measured reflection spectra resemble those obtained by conductance measurements in scanning tunneling microscopy of graphene flakes.

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• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of 1D and 2D lattices
• Test of the Atiyah-Singer Index Theorem for Fullerene with a Superconducting Microwave Resonator
• Time dependent Stark ladders: Exact propagator and caustic control
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