  The finding of non-Hermitian skin effect has revolutionized our understanding
of non-Hermitian topological phases, where the usual bulk-boundary
correspondence is broken and new topological phases specific to non-Hermitian
system are uncovered. Hybrid skin-topological effect (HSTE) is a class of newly
discovered non-Hermitian topological states that simultaneously supports
skin-localized topological edge states and extended bulk states. Here we
provide a brief review of HSTE, starting from different mechanics that have
been used to realize HSTE, including non-reciprocal couplings, onsite
gain/loss, and non-Euclidean lattice geometries. We also review some
theoretical developments closely related to the HSTE, including the concept of
higher-order non-Hermitian skin effect, parity-time symmetry engineering, and
non-Hermitian chiral skin effect. Finally, we summarize recent experimental
exploration of HSTE, including its realization in electric circuits systems,
non-Hermitian photonic crystals, and active matter systems. We hope this review
can make the concept of hybrid-skin effect clearer and inspire new finding of
non-Hermitian topological states in higher dimensional systems.
