  Linelike hardcore bosonic domain walls in a staggered potential on honeycomb
lattice are studied using quantum Monte Carlo simulations. The phase diagrams
of ribbons with zigzag and armchair domain walls are mapped, which contain
superfluid and insulator phases at various fillings. In the $\rho=\frac{1}{2}$
insulator, the domain wall separates two charge-density-wave (CDW) regions with
opposite Berry curvatures. Associated with the change of topological
properties, superfluid transport occurs down the domain wall. The superfluid
density associated with a zigzag domain wall is much larger than that of an
armchair domain wall due to the different arrangements of occupied and
unoccupied sites along the domain wall. Our results provide a concrete context
to study bosonic topological phenomena, which may be simulated experimentally
using bosonic cold atoms trapped in optical lattices.
