Squeezing Magnetic Modulations by Enhanced Spin-Orbit Coupling of 4d Electrons in the Polar Semiconductor GaMo$_4$S$_8$.

In polar magnets with axial symmetry, such as GaV$_4$S$_8$, GaV$_4$Se$_8$ and VOSe$_2$O$_5$, the Neel-type skyrmion lattice state, formed by the superposition of cycloidal modulations, was found stable over extended temperature ranges, even down to zero Kelvin. Based on a combined small-angle neutron scattering and magnetization study, we show the robustness of the Neel-type magnetic modulations also against external fields up to 1.7 T in the polar GaMo$_4$S$_8$. This $4d$ electron system is subject to a stronger spin-orbit coupling (SOC) than the known skyrmion-hosts mainly composed of $3d$ transition metals. The enhanced SOC produces a variety of modulated phases with very short periodicity, $\lambda<10$ nm and a peculiar distribution of the magnetic modulation vectors.