Topological Superfluid in P-band Optical Lattice

In this paper by studying p-band fermionic system with nearest neighbor attractive interaction we find translation symmetry protected Z2 topological superfluid (TSF) that is characterized by a special fermion parity pattern at high symmetry points in momentum space k=(0,0), (0,pi), (pi,0), (pi,pi). Such Z2 TSF supports the robust Majorana edge modes and a new type of low energy excitation - (supersymmetric) Z2 link-excitation. In the end we address a possible realization of such interacting p-band fermions with Z2 TSF.