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Recently, the Floquet ${\rm Na_3Bi}$-type material has been proposed as anideal platform for realizing various phases, i.e., the spin-degenerate Diracsemimetal (DSM) can be turned into the Weyl semimetal (WSM), and even to theWeyl half-metal (WHM). Instead of the conventional electrical methods, we usethe RKKY interaction to characterize the topological phase transitions in thispaper. It is found that detecting the Ising term $J_I$ is feasible fordistinguishing the phase transition of DSM/WSM, since the emergence of $J_I$ isinduced by the broken spin degeneracy. For the case with impurities depositedon $z$ axis (the line connecting the Weyl points), the Heisenberg term $J_H$coexists with $J_I$ in the WSM, while $J_H$ is filtered out and only $J_I$survives in the WHM. This magnetic filtering effect is a reflection of thefully spin-polarized property (one spin band is in the WSM phase while theother is gapped) of the WHM, and it can act a signal to capture the phasetransition of WSM/WHM. This signal can not be disturbed unless the direction ofthe impurities greatly deviates from $z$ axis. Interestingly, as the impuritiesare moved into the $x$-$y$ plane, there arises another signal (a dip structurefor $J_H$ at the phase boundary), which can also identify the phase transitionof WSM/WHM. Furthermore, we have verified that all magnetic signals are robustto the term that breaks the electron-hole symmetry. Besides characterizing thephase transitions, our results also suggest that the Floquet DSMs are powerplatforms for controlling the magnetic interaction.

RKKY signals characterizing the topological phase transitions in Floquet Dirac semimetals