Effective Tight Binding Hamiltonian for the Class of Monolayer Dichalcogenides

One of the most important class of two-dimensional materials is the class of metal dichalcogenides such as $MoS_2$ and $WS_2$. Strong spin-orbit coupling interaction and broken inversion symmetry in the lattice structure lead to very interesting physical properties, including changing the spin-channel from $K$ to $K'$ high-symmetry points in the valence band. We find the effective tight binding Hamiltonian for this class of materials. This effective tight binding Hamiltonian can be used for different analytical calculations.