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Magnetism in the orthorhombic metal CaFe$_4$As$_3$ was examined throughneutron diffraction for powder and single crystalline samples. Incommensurate(${\bm q}_{\rm m}\approx (0.37-0.39)\times{\bm b}^{\ast}$) and predominantlylongitudinally ($\parallel b$) modulated order develops through a 2nd orderphase transition at $T_{\rm N}=89.63(6)$ K with a 3D Heisenberg-like criticalexponent $\beta=0.365(6)$. A 1st order transition at $T_2=25.6(9)$ K isassociated with the development of a transverse component, locking ${\bmq}_{\rm m}$ to $0.375(2){\bm b}^{\ast}$, and increasing the moments from 2.1(1)to 2.2(3) $\mu_{\rm B}$ for Fe$^{2+}$ and from 1.3(3) to 2.4(4) $\mu_{\rm B}$for Fe$^+$. The {\it ab-initio} Fermi surface is consistent with a nestinginstability in cross-linked FeAs strips.

Incommensurate Magnetism in FeAs Strips: Neutron Scattering from CaFe$_4$As$_3$