Figure 4 | Scientific Reports

Figure 4

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

Figure 4

Spinful phase diagram of silicene.

For small spin orbit coupling and small electric field, we obtain two co-propagating chiral bands, or a ν = 2 QHE. For Δ larger than the flux gap, the system iss a trivial insulator. For comparatively large spin orbit coupling, silicene is a Kane-Mele topological insulator2. When λSO + Δ > Δθ and |λSO − Δ| < Δθ, silicene is a Chern insulator. The diagonal C = 1 section continues indefinitely, so long as the energy scales . Note that in the weak-QSH phase there are helical edge states, yet there is also a magnetic field that weakens the robustness against backscattering and thus the classification of ‘weak-QSH’.

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