  A periodic drive could alter the effective exchange interactions in magnetic
materials. Here, we explore how exchange pathways affect the effective
interactions of periodically driven magnetic materials. Aiming to apply Floquet
engineering methods to two-dimensional magnetic materials, we consider
realistic models and discuss the effect of a periodic drive on ligand-mediated
exchange interactions. We show that depending on bond angles and the number of
ligand ions involved in the exchange process, drive-induced changes can be very
different from those calculated from direct-hopping models considered earlier.
We study these effects and find that the presence of ligand ions must be taken
into account, especially for TMTCs where ligand ion mediated next-neighbor
interactions play a crucial role in determining the magnetic ground state of
the system.
