Using
density functional theory, we propose the (MnSb2Te4)·(Sb2Te3)
n
family of stoichiometric van der Waals compounds that harbor
multiple topologically nontrivial magnetic phases. In the ground state,
the first three members of the family (n = 0, 1,
2) are 3D antiferromagnetic topological insulators, while for n ≥ 3 a special phase is formed, in which a nontrivial
topological order coexists with a partial magnetic disorder in the
system of the decoupled 2D ferromagnets, whose magnetizations point
randomly along the third direction. Furthermore, due to a weak interlayer
exchange coupling, these materials can be field-driven into the FM
Weyl semimetal (n = 0) or FM axion insulator states
(n ≥ 1). Finally, in two dimensions, we reveal
these systems to show intrinsic quantum anomalous Hall and AFM axion
insulator states, as well as quantum Hall state, achieved under external
magnetic field. Our results demonstrate that MnSb2Te4 is not topologically trivial as was previously believed that
opens possibilities of realization of a wealth of topologically nontrivial
states in the (MnSb2Te4)·(Sb2Te3)
n
family.