Fig. 7
From: Orbital Hall conductivity in a Graphene Haldane and Haldane Haldane bilayers

(a,b) Orbital Berry curvatures of valence bands (Valence band-1,2) of AA stacked and AB stacked \(\textrm{G}/\tilde{\textrm{G}}\) bilayer, where \(M=0\), \(\gamma =0.2t_g\), \(\phi =\pi /2\) and \(t_g=-2.7\) eV and (c,d) \(\tilde{\textrm{G}}/\tilde{\textrm{G}}\) bilayer system, where \(M_l=M_u=0\), \(\gamma =0.2t_g\), \(\phi _l=\phi _u=\pi /2\), \(t_g=-2.7\) eV and \(t_{2l}=t_{2u}=t_2\) for two different NNN hopping strength as \(t_2=0.01t_g\) (red box) and \(t_2=0.1t_g\) (blue box). For each case, the close distribution of orbital Berry curvature (OBC) around the K and \(K'\) points is provided below.