(A) Orbital-resolved projected band structure of bilayer MoS₂ considering the spin-orbit coupling. (B), (C), (D) Distribution of real-part of spin-up wavefunctions in real-space at valence band Γ, conduction band K, and conduction band Q, respectively. (E) Possible transition configuration for K-Γ (purple wave) and Q-Γ (cyan wave). The red (blue) curve denotes conduction band K (Q). The grey curve denotes valence band Γ. The electric dipole moment of each transition is labelled. r_z represents the equivalent position of the wavefunction at each valley as discussed in the main text. (F) Experimental results of the photon energy of RMX₁ (blue hollows), RMX₂ (green hollows) and RMX₃ (red hollows) in device D1 as a function of F_z extracted from Figure 2C. Orange, purple, black solid lines and corresponding shadow regions denote the linear-fit of RMX_1/2/3 with a fixed slope μ_z(K-Γ) obtained from DFT calculations. The energy difference between RMX₁ and RMX₂ (RMX₃) is ~22 meV (46 meV).