Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard

Abstract

This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in a triangular lattice. First, we present transmission measurements of plane waves traversing a photonic crystal. The experiments are performed in the vicinity of a Dirac point, i.e., an isolated conical singularity of the photonic band structure. There, the transmission shows a pseudodiffusive 1/L dependence, with $L$ being the thickness of the crystal, a phenomenon also observed in graphene. Second, eigenmode intensity distributions measured in a microwave analog of a relativistic Dirac billiard, a rectangular microwave billiard that contains a photonic crystal, are discussed. Close to the Dirac point states have been detected which are localized at the straight edge of the photonic crystal corresponding to a zigzag edge in graphene.

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Cited by in corpus (20)

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• Lifshitz and Excited State Quantum Phase Transitions in Microwave Dirac Billiards
• Chiral bound states in the continuum
• Disordered graphene and boron nitride in a microwave tight-binding analog
• Spectral properties of Dirac billiards at the van Hove singularities
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Photonic analogues of the Haldane and Kane-Mele models
• Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of 1D and 2D lattices
• Crystalline Soda Can Metamaterial exhibiting Graphene-like Dispersion at subwavelength scale
• Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
• Tuning the topological insulator states of artificial graphene
• Test of the Atiyah-Singer Index Theorem for Fullerene with a Superconducting Microwave Resonator
• Scars in Dirac fermion systems: the influence of an Aharonov--Bohm flux
• Properties of the eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
• Schematic baryon models, their tight binding description and their microwave realization
• Haldane graphene billiards versus relativistic neutrino billiards