  We theoretically study the effect of low-frequency light pulses in resonance
with phonons in the topological and magnetically ordered two septuple-layer
(2-SL) MnBi2Te4 (MBT) and MnSb2Te4 (MST). These materials share symmetry
properties and an antiferromagnetic ground state in pristine form but present
different magnetic exchange interactions. In both materials, shear and
breathing Raman phonons can be excited via non-linear interactions with
photo-excited infrared phonons using intense laser pulses attainable in current
experimental setups. The light-induced transient lattice distortions lead to a
change in the sign of the effective interlayer exchange interaction and
magnetic order accompanied by a topological band transition. Furthermore, we
show that moderate anti-site disorder, typically present in MBT and MST
samples, can facilitate such an effect. Therefore, our work establishes 2-SL
MBT and MST as candidate platforms to achieve non-equilibrium
magneto-topological phase transitions.
