Figure 3: Spectral weight redistribution near the sample edge.
From: Evolution of Landau levels into edge states in graphene
(a) Measured LL spectra at B=4 T showing the evolution of the peak heights with distance from the edge on the electron side at the positions marked in Fig. 1c. (b) Simulated local DOS for the case in panel a, including broadening due to electron–electron interactions obtained in ref. 31. The local DOS is averaged over the two sublattices. Although the peaks corresponding to bulk LLs continue to dominate the local DOS down to 0.5 lB, their amplitude decreases upon approaching the edge reflecting the spectral weight redistribution discussed in the text. (c) Spectral weight redistribution near the edge for both the experimental data (symbols) and the theory (solid lines) shows that the intensity of the N=1 peak decreases faster than that of the N=2 peak upon approaching the edge. (d) Top panel: comparison of measured evolution of LL peak positions with distance from the edge for N=1, 2, 3 (symbols) with calculated values (lines) for a sharp edge. Bottom panel: evolution of carrier density with distance from the edge shows no charge variation up to a distance of ~1 lB.
