  We study competition between different phases in a strongly correlated
nano-structure with an edge. Making use of the self-consistent Green's function
and density matrix renormalization group methods, we study a system described
by the t-Jz and t-J models on a strip of a square lattice with a linear hole
density n_||. At intermediate interaction strength J/t we find edge stripe-like
states, reminiscent of the bulk stripes that occur at smaller J/t. We find that
stripes attach to edges more readily than hole pairs, and that the edge stripes
can exhibit a peculiar phase separation.
