Low-energy band structure in Bernal stacked six-layer graphene: Landau fan diagram and resistance ridge

Abstract

The low-energy band structure of Bernal-stacked hexlayer graphene was investigated by the measuring transport properties of high-mobility graphene samples equipped with a top and a bottom gate electrode at low temperature and in a magnetic field. By analyzing the Landau fan diagram, it was found that the hexlayer graphene consisted of three different bilayer-like bands that overlap and form a semimetal. The electronic band structure was significantly influenced by the perpendicular electric field generated by the top and bottom gate voltages. The Not fan diagram shows splitting of zero-mode Landau levels, while also the top and bottom gate voltage dependence of the resistivity at zero magnetic field shows ridge-like structure, similar to the one recently found in tetralayer graphene. It is shown that the ridge structure originates from the band structure of the Bernalstacked hexlayer graphene. Most of the ridges originate from the bottoms of the bilayer-like bands, and a few ridges originate from the energy gap structures which locally close due to trigonal warping and expected to form mini-Dirac cones.