Fig. 1: Electron dispersion and Landau levels in a film of rhombohedral graphite.
From: Films of rhombohedral graphite as two-dimensional topological semimetals
Low-energy dispersion \(\epsilon ({p}_{x},0)\) as a function of the in-plane momentum \({p}_{x}\) in the \(K\) valley for \(N=10\) layers with a top/bottom asymmetry \(\Delta =0\) and c \(\Delta =40\,\)meV. Insets: 3D plots of \(\epsilon ({\mathbf{p}})\) with parametric regimes for different Fermi surface topology shown in b as a function of carrier density \({n}_{{\rm{e}}}\) and number of layers \(N\) for \(\Delta =0\) with a two-dimensional semi-metal (2DSM), a two-dimensional metal (2DM), and a bulk metal (3DM). Landau level (LL) spectrum as a function of perpendicular magnetic field \({B}_{z}\) in a ten-layer film with: d \(\Delta =0\) and e \(\Delta =40\,\)meV. In e, magenta/cyan lines correspond to the \(K^{\prime}\)/\(K\) valleys. Plots were obtained by numerical diagonalization of the full hybrid \({\bf{k}}\cdot {\bf{p}}\) tight-binding model (\({\hat{H}}_{N}\) in Methods). In d, red/black lines show extrapolation of LLs to \({B}_{z}\to 0\) estimated using semiclassical quantization near band edges.
