|d_{yz}\rangle \}$, and $t_{\sigma}$, $t_{\pi}$, $t_{\delta}$ are hopping parameters between $d$-orbitals. $c_x$ means $\cos k_x$. The lattice constant is set to 1. The spin-orbit coupling term is $$\begin{aligned}
 \mathcal{H}_\mathrm{SOC}= 
 {
 \left( \begin{matrix}
 0 & 0 & 0 & 0 & 0 & 0 & 0 & -\frac{\sqrt{3}}{2}\xi & 0 & \frac{\sqrt{3}}{2}\xi i \\

 0 & 0 & 0 & 0 & 0 & 0 & \frac{\sqrt{3}}{2}\xi & 0 & \frac{\sqrt{3}}{2}\xi i & 0 \\

 0 & 0 & 0 & 0 & -\xi i & 0 & 0 & \frac{1}{2}\xi & 0 & \frac{1}{2}\xi i \\

 0 & 0 & 0 & 0 & 0 & \xi i & -\frac{1}{2}\xi & 0 & \frac{1}{2}\xi i & 0 \\

 0 & 0 & \xi i & 0 & 0 & 0 & 0 & -\frac{1}{2}\xi i & 0 & \frac{1}{2}\xi \\

 0 & 0 & 0 & -\xi i & 0 & 0 & -\frac{1}{2}\xi i & 0 & -\frac{1}{2}\xi & 0 \\ 

 0 & \frac{\sqrt{3}}{2}\xi & 0 & -\frac{1}{2}\xi 
 & 0 & \frac{1}{2}\xi i & 0 & 0 & -\frac{1}{2}\xi i & 0 \\

 -\frac{\sqrt{3}}{2}\xi & 0 & \frac{1}{2}\xi & 0 & \frac{1}{2}\xi i & 0 & 0 & 0 