natalia gallo and Mario Molina
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 48, 45302 (2014)
We examine bulk and surface bound states in the continuum (BIC), that is, square-integrable, localized modes embedded in the linear spectral band of a discrete lattice including interactions to first and second nearest neighbors. We suggest an efficient method for generating such modes and the local bounded potential that supports the BIC, based on the pioneering Wigner–von Neu- mann concept. It is shown that the bulk and surface embedded modes are structurally stable and that they decay faster than a power law at long distances from the mode center.