Disordered graphene and boron nitride in a microwave tight-binding analogue

Sonja Barkhofen (1) , Matthieu Bellec (2) , Ulrich Kuhl (1, 3) , Fabrice Mortessagne (3)

1 Fachbereich Physik [Marburg]
2 MOSAIQ
3 LPMC - Laboratoire de physique de la matière condensée

Experiments on hexagonal graphene-like structures using microwave measuring techniques are presented. The lowest transverse-electric resonance of coupled dielectric discs sandwiched between two metallic plates establishes a tight-binding configuration. The nearest-neighbor coupling approx- imation is investigated in systems with few discs. Taking advantage of the high flexibility of the discs positions, consequences of the disorder introduced in the graphene lattice on the Dirac points are investigated. Using two different types of discs, a boron nitride-like structure (a hexagonal lattice with a two-atom basis) is implemented, showing the appearance of a band gap.

Mots clés: artificial graphene; artificial boron nitride; microwave experiments; wave transport.; wave transport

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

Sonja Barkhofen, Matthieu Bellec, Ulrich Kuhl, Fabrice Mortessagne. Disordered graphene and boron nitride in a microwave tight-binding analogue. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2013, 87 (3), pp.035101. ⟨10.1103/PhysRevB.87.035101⟩. ⟨hal-00767913⟩