Schemes for realizing topological superconductivity in monolayer $\beta$-Bi$_2$Pd: A tight-binding model study

In light of tight-binding model, we investigate the emergence of high-order Dirac point and quantum spin Hall state in monolayer $\beta$-Bi$_2$Pd without and with spin-orbital coupling. By introducing the Zeeman field, we show the clear quantum anomalous Hall state at the edge. Since the existence of intrinsic superconductivity, the system gets into a topological superconducting state via introducing the $\pi$-shifted superconductor (Zeeman field) that preserves (destroys) time reversal symmetry. Meanwhile, we observe the corresponding helical (chiral) Majorana zero modes at the boundary. The topological phase transition gives a workable approach to realize topological superconductivity in experiment.