Bulk and surface bound states in the continuum
Mesoscale and Nanoscale Physics
2015-06-18 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.1401.7380,
title = {Bulk and surface bound states in the continuum},
author = {N. A. Gallo and M . I. Molina},
journal= {arXiv preprint arXiv:1401.7380},
year = {2015}
}
Comments
six pages, five figures, submitted for publication