  Bound states in the continuum (BIC) have been studied mainly in optics.
Recently, electronic BIC have been proposed. They appear as points in the
momentum space and are protected topologically by the Chern number. In this
study, we propose a type of BIC protected by the winding number, which is one
of the topological invariants. These BIC appear as lines in the momentum space,
and are realized in a multilayer model consisting of honeycomb-lattice layers.
We show band structure and spatial localization of the BIC in this model. The
wave numbers at which the BIC appear can be explained in terms of topology in
the momentum space.
