  It is widely known that quantum spin Hall (QSH) insulator can be viewed as
two copies of quantum anomalous Hall (QAH) insulator with opposite local
magnetic moments. However, nearly every QSH insulator discovered so far is a
nonmagnetic semiconductor. Due to the vanishing local magnetic moment of each
copy, the QAH states only conceptually exist in these QSH insulators. In this
work, we show a realistic construction of QSH states with finite local magnetic
moment by staking bilayer QAH insulators. Our explicit construction benefits
from an effective QAH model with a large topological gap and is further
supported by a class of two-dimensional ferromagnetic materials. Our work not
only validates the conceptual relationship of QSH and QAH but also provides an
ideal material platform for realizing antiferromagnetic QSH state which is
highly tunable between QAH and QSH states as a function of the number of
layers.
