Fig. 2.

(A and B) The projected ($1\overline{1}0$) surface Brillouin zone on which several $k$ points, $k$ paths, and the predicted positions of the unpinned surface DPs are detailed. (C) The schematic shows the unpinned surface DPs on the surface preserving ${\mathcal{C}}_2$. (D) Surface band spectrum along the high-symmetry $k$ path, $\overline{T}-\overline{\mathrm{\Gamma }}-\overline{L}$. Inset shows that the surface states are gapped along this path. (E and F) Surface band spectrum along the $k$ paths containing the DP (see the trajectories in B). The spectrum in F shows that the surface Dirac fermion is type II: The Dirac cone is strongly tilted so that the velocities of the two bands that cross have the same sign. (G and H) WCCs of the loop integrated around $\left[1\overline{1}0\right]$ ($k_x$) at (G) $k_y=0\hspace{0.17em}\pi /b$ and (H) $k_y=1.195\hspace{0.17em}\pi /b$ with respect to $k_z$, where A and B indicate two WCC sheets that connect only at generic ($k_y,k_z$).