  Driven by various physical origins, the interesting reentrant phenomena in
quantum Hall effect (QHE), quantum anomalous Hall effect (QAHE) and
non-Hermitian systems have been discussed recently. Here, we present that the
reentrant phenomena of quantum spin Hall effect (QSHE) can be achieved by
introducing a uniform exchange field into a topological insulator with a
four-band model Hamiltonian. Furthermore, it is found that both time-reversal
(TR) symmetry broken QSHE and spin-polarized QAHE can simultaneously be
generated in the system with proper exchange field strength by inspecting the
corresponding edge states. Through analyzing the energy dependent spin-Chern
number $\nu_s$ and transmission in the presence of random disorders, we verify
the topological protection and the robustness of induced QSHE and QAHE.
Finally, the theoretical realization of reentrant QSHE in a topolectrical
circuit is demonstrated. Our work not only extends the reentrant phenomena into
the QSHE but also stimulates interest in their realization in different
systems.
