Figure 5 | Scientific Reports

Figure 5

From: Realising Haldane's vision for a Chern insulator in buckled lattices

Figure 5

Dispersion of energy eigenstates for ribbons of: spinless silicene (upper) with Δ = 0, the Haldane model (middle) with Δ = 0.05t and spinful silicene with λSO = 0.07t, Δ = 0.05t (lower).

Both the Haldane model and spinless silicene have a single chiral mode per ribbon edge. Therefore the Chern number in the two systems is the same. In the lower pane, λSO has caused a band inversion for one K-point and one pseudo-spin, such that one chiral mode is destroyed, but the other survives and the Chern number is 1. The other parameters for the silicene systems: t′ = 0.1t, ϕ/ϕ0 = π/2 and θ = π/2. In each figure, the edge states are coloured, with red depicting states bound to one edge of the ribbon and green depicting the opposite edge.

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