Data for: Hidden non-collinear spin-order induced topological surface states

Rare-earth monopnictides are a family of materials simultaneously displaying complex magnetism, strong electronic correlation, and topological band structure. The recently discovered emergent arc-like surface states in these materials have been attributed to the multi-wave-vector antiferromagnetic order, yet the direct experimental evidence has been elusive. Here we report the observation of non-collinear antiferromagnetic order with multiple modulations using spin-polarized scanning tunneling microscopy. Moreover, we discover a hidden spin-rotation transition of single-to-multiple modulations 2 K below the Neel temperature. The hidden transition coincides with the onset of the surface state splitting observed by our angle-resolved photoemission spectroscopy measurements. Single modulation gives rise to a band inversion with induced topological surface states in a local momentum region while the full Brillouin zone carries trivial topological indices, and multiple modulation further spl..., The STM data was collected by Omicron LT-STM at 4K. MTRX files were exported to the IgorPro files with the software Vernissage. Data analysis was performed on IgorPro. The figures are plotted with Origin and arranged in Adobe Illustrator., Use Vernissage to open the head file ending with \"_0001.mtrx\" and inspect the data contained within. The data can be exported as IgorPro files and further analyzed in IgorPro.
IPF files are IgorPro procedures for data analysis., # Data for: Hidden non-collinear spin-order induced topological surface states

## Description of the data and file structure

There are three files in the dataset: Dataset.zip, filter.ipf, and DriftCorrection.ipf.

filter.ipf is the IgorPro procedure for filtering out high-frequency noise of topographic images.\
DriftCorrection.ipf is the IgorPro procedure for drift correction of topographic images by the Lawler-Fujita algorithm.

The dataset.zip contains folders arranged by the figures in the article \"Hidden non-collinear spin-order induced topological surface states\" to be published in Nature Communications. Each folder contains the STM raw data for plotting the STM images in the corresponding figure. Please refer to the article for a more detailed description of the data and methods.