Fano resonance in graphene anti-dot and periodic graphene anti-dot arrays

► Fano resonant peaks are observed, because discrete states coexist with continuum energy states. ► When N periodic anti-dots exist in the longitude direction, a rapid fluctuation appears in the conductance with varying resonance peaks. ► When P periodic anti-dots exist in the transverse direction, P-fold resonant splitting peaks are found in the low energy region.