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Figure 1.  Top (a) and side (b) views of germanene/MnI₂ HTS. (c) The transfer direction of electrons and the movement of the Fermi level during HTS formation. The electrostatic potentials of ML-MnI₂ (d), ML-germanene (e) and germanene/MnI₂ FM HTS (f). The charge density difference is presents in (f), while the regions highlighted in cyan and yellow correspond to electron depletion and accumulation, respectively.

Figure 2.  Spin-resolved band structures of germanene/NiI₂ HTS (a) without and (b) with SOC. The solid red and blue lines represent the spin up and spin down channels, respectively. (c) Orbital-resolved band structures of germanene/NiI₂ HTS. The green circle represents the element projection of Ge₁-p_z, whereas the orange circle represents the element projection of Ge₂-p_z. (d) Anomalous Hall conductance σ_xy. (e) Distribution of Berry curvature within the first BZ. (f) Edge state of germanene/NiI₂ HTS.

Figure 3.  Structural diagrams of germanene/MnI₂/In₂Se₃ HTS in the P ↑ (a) and P ↓ (c) states along the z direction. Calculated band structures in the P ↑ (b) and P ↓ (d) states. The red and blue circles in the band structure correspond to spin-up and spin-down states of germanene/MnI₂ HTS, respectively. The orange circle denotes the components of In₂Se₃.