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$GdTe_{3}$ is a layered antiferromagnet belonging to the family of rare-earthsquare net tritellurides which has recently attracted much attention due to itsexceptionally high mobility, the presence of a novel unidirectionalincommensurate charge density wave (CDW) state, superconductivity underpressure, and a cascade of magnetic transitions between 12 and 7 K, whose orderparameters are as yet unknown. Since the itinerant electrons and localizedmoments reside on different crystalline planes in this family of compounds,spin-charge interactions could potentially result in unexpected phases in thissystem. In this work, we use spin-polarized scanning tunneling microscopy todirectly image the charge and magnetic orders in $GdTe_{3}$. Below 7 K, we finda striped antiferromagnetic phase with twice the periodicity of the Gd latticeand perpendicular to the CDW order. Intriguingly, between 7 and 12 K, wediscover a spin density wave which has the same periodicity as the CDW. Using aminimal Landau free energy model we show that the spin density wave can arisefrom a bulk incipient antiferromagnetic order oriented along the$\textit{c}$-axis that couples to the CDW order. Our work reveals the orderparameters of the cascade of low temperature magnetic phases in $GdTe_{3}$ andshows how the interplay between the charge and spin sectors can generatemultiple coexisting magnetic orders in this class of materials.

Atomic-Scale Visualization of a Cascade of Magnetic Orders in the Layered Antiferromagnet $GdTe_{3}$