Fig. 5: Spatial dispersion of graphene broken-symmetry edge states at the quantum Hall edge boundary. | Nature Communications

Fig. 5: Spatial dispersion of graphene broken-symmetry edge states at the quantum Hall edge boundary.

From: Edge channels of broken-symmetry quantum Hall states in graphene visualized by atomic force microscopy

Fig. 5

a Kelvin probe map at \(B=10\,\text{T}\) of the chemical potential as a function of Y-position across the QH boundary and local gate potential. In the local gated area, Landau levels from \(N=-2\) [LL(\(-\)2)] to \(N=+2\), [LL(+2)], are seen in the different colored plateaus. Incompressible signatures due to the large excursions in the chemical potential (see Fig. 3d) are observed inside the \(N=0\) Landau level corresponding to filling factors \(\nu =0,\pm 1\). b Higher-resolution Kelvin probe map of the \(N=0\) Landau level showing that at the quantum Hall edge boundary the \(\nu =\pm1\) channels disperse away from the \(\nu =0\) center line. AFM settings: 2 nm oscillation amplitude, \(\triangle f=-2\,{\rm{Hz}}\), 20 mV bias modulation.

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