Bulk and surface bound states in the continuum

Abstract

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 Neumann 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.

six pages, five figures, submitted for publication

References in corpus (4)

• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
• Observation of surface states with algebraic localization
• Tamm-Hubbard surface states in the continuum
• Bound states in the one-dimensional two-particle Hubbard model with an impurity

Cited by in corpus (7)

• Low-dimensional phonon transport effects in ultra-narrow, disordered graphene nanoribbons
• Interaction-induced multiparticle bound states in the continuum
• On the channel width-dependence of the thermal conductivity in ultra-narrow graphene nanoribbons
• Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice
• Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices
• Discrete embedded modes in the continuum in 2D lattices
• Surface Bound States in the Continuum in Dyakonov Structures