Figure 4: Topological insulating phases and anisotropic spin model.
From: Spin-orbital entangled molecular jeff states in lacunar spinel compounds
The one-dimensional band structure of (a) half-filled jeff=3/2 monolayer and (b) half-filled jeff=1/2 bilayer M4 ribbons (20 unit cell width). The insets show schematic top view of each system, where the thin grey and the thick red lines represent the intra- and the inter-planar bonding, respectively. The thickness of the coloured fat lines in the band structure represent the weights on the edge. (c) Two mirror planes (blue and red) existing in between the neighbouring M4 clusters determine the direction of 
illustrated as green arrow. (d) Magnitudes of Heisenberg (dark red), Dzyaloshinskii–Moriya (green) and pseudodipolar (blue) exchange interactions as a function of |t0/tD|. The magnitude of |t0/tD| for each of the M=Mo/W compounds is marked on the horizontal axis. (e) The 90°- and (f) the 60°-compass interactions are realized on (001) and (111) M4 monolayers, respectively.
