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Incommensurate spin-density wave and magnetic lock-in transition in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>CaFe</mml:mtext></mml:mrow><mml:mn>4</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mtext>As</mml:mtext></mml:mrow><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>
The magnetic structure for the recently synthesized iron-arsenide compound ${\text{CaFe}}_{4}{\text{As}}_{3}$ has been studied by neutron-powder diffraction. Long-range magnetic order is detected below 85 K, with an incommensurate modulation described by the propagation vector $k=(0,\ensuremath{\delta},0)$, $\ensuremath{\delta}\ensuremath{\sim}0.39$. Below $\ensuremath{\sim}25\text{ }\text{K}$, our measurements detect a first-order phase transition where $\ensuremath{\delta}$ locks into the …