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Complex magnetic order arises due to the competition of differentinteractions between the magnetic moments. Recently, there has been anincreased interest in such states not only to unravel the fundamental physicsinvolved, but also with regards to applications exploiting their uniqueinterplay with moving electrons. Whereas it is the Dzyaloshinskii-Moriyainteraction (DMI) that has attracted much attention because of its nature toinduce non-collinear magnetic order including magnetic-field stabilizedskyrmions, it is the frustration of exchange interactions that can drivemagnetic order down to the nano-scale. On top of that, interactions betweenmultiple spins can stabilize two-dimensional magnetic textures as zero-fieldground states, known as multi-Q states. Here, we introduce a two-dimensionalitinerant magnet with various competing atomic-scale magnetic phases. Usingspin-polarized scanning tunneling microscopy we observe several zero-fielduniaxial or hexagonal nano-scale magnetic states. First-principles calculationstogether with an atomistic spin model reveal that these states are stabilizedby the interplay of frustrated exchange and higher-order interactions while theDMI is weak. Unexpectedly, it is found that not only non-collinear magneticstates arise, but that higher-order interactions can also lead to collinearnano-scale multi-Q states.

Nano-scale collinear multi-Q states driven by higher-order interactions