“…Bound states in the continuum (BIC) have been generally regarded as fragile states occurring in a few special systems with tailored potential [15,16,17,18], generally decaying into resonance states by small perturbations [19] and thus of low physical relevance. In the simplest case, BIC can arise from destructive quantum interference of the decay channels to the continuum [20,21,22,23], for example by virtue of a simple symmetry constraint [24]. Surface BIC of this kind in a tight-binding lattice model have been suggested, for example, in Ref.…”