  Interaction-induced topological systems have attracted a growing interest for
their exotic properties going beyond the single-particle picture of topological
insulators. In particular, the interplay between strong correlations and finite
doping can give rise to nonhomogeneous solutions that break the translational
symmetry. In this work, we report the appearance of a topological stripe state
in an interaction-induced Chern insulator around half-filling. In contrast to
similar stripe phases in nontopological systems, here we observe the appearance
of chiral edge states on top of the domain wall. Furthermore, we characterize
their topological nature by analyzing the quantized transferred charge of the
domains in a pumping scheme. Finally, we focus on aspects relevant to observing
such phases in state-of-the-art quantum simulators of ultracold atoms in
optical lattices. In particular, we propose an adiabatic state preparation
protocol and a detection scheme of the topology of the system in real space.
