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Based on density functional theory combined with low-energy models, weexplore the magnetic properties of a hybrid atomic-thick two-dimensional (2D)material made of Germanene doped with fluorine atoms in a half-fluorinatedconfiguration (Ge2F). The Fluorine atoms are highly electronegative, whichinduce magnetism and break inversion symmetry, triggering thereby a finite andstrong Dzyaloshinskii-Moriya interaction (DMI). The magnetic exchangeinteractions is of antiferromagnetic nature among the first, second and thirdneighbors, which leads to magnetic frustration. The N\'eel state is found to bethe most stable state, with magnetic moments lying in the surface plane. Thisresults from the out-of-plane component of the DMI vector, which seems toinduce an effective in-plane magnetic anisotropy. Upon application of amagnetic field, spin-spirals and antiferromagnetic skyrmions can be stabilized.We conjecture that this can be realized via magnetic exchange fields induced bya magnetic substrate. To complete our characterization, we computed thespin-wave excitations and the resulting spectra, which could be probed viaelectron energy loss spectroscopy, magneto-Raman spectroscopy or scanningtunneling spectroscopy.

Complex magnetism of the two-dimensional antiferromagnetic Ge2F: from a N\'eel spin-texture to a potential antiferromagnetic skyrmion