  In this work, we predict a hinged quantum spin-Hall (HQSH) effect featured by
a pair of helical hinge modes in antiferromagnetic (AFM) topological insulator
(TI) multilayers. This pair of helical hinge modes are localized on the hinges
of the top and bottom surfaces of the AFM TI multilayers. Unlike the
conventional QSH effect, the HQSH effect survives the breaking of time-reversal
symmetry (TRS) and thus represents a different kind of topological phenomenon.
The helical hinge modes are sustainable to inelastic scattering and
TRS-breaking disorder, which can be observed in macroscopic samples. We show
that this HQSH effect can be understood as a three-dimensional generalization
of the Su-Schrieffer-Heeger model and its topology is characterized by the spin
Chern number. At last, we propose that the HQSH effect can be realized in newly
found intrinsic AFM TI materials (MnBi$_2$Te$_4$)$_m$(Bi$_2$Te$_3$)$_n$ or
magnetic-doped TI multilayers by current experimental setups.
