Magnetotransport in graphene 30-degree quasicrystal*

Introducing a twist angle between two layers of graphene realizes a variety of new lattice configurations with different electronic structures. A 30-degree twist angle creates a quasicrystal (QC) structure with 12-fold symmetry [1]. We fabricate a graphene QC by tearing apart and stacking a single crystal of monolayer graphene. The sample is encapsulated in hBN and studied under transmission electron microscopy (TEM) to determine the precise twisting angle. We find the angle of the twisted heterostructure to be within 0.2 degrees of 30. We fabricate multi-terminal contacted devices with top and bottom gates. We will discuss magnetotransport data on the graphene QC in the extreme quantum limit as function of density and displacement fields.

[1] Ahn et al. Dirac electrons in a dodecagonal graphene quasicrystal. Science. 28 June 2018.