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Intertwining charge density wave (CDW) with spin and pairing order parametersis a major focus of contemporary condensed matter physics. Lattice distortionsand local symmetry breaking resulted from CDWs are crucial for the emergence ofcorrelated and topological states in quantum materials in general. While thepresence of CDWs can be detected by diffraction or spectroscopic techniques,atomic visualization of the CDW induced lattice distortions remains limited toCDW with short wavelengths. In this letter, we realized the imaging ofincommensurate long-wavelength CDWs based on cryogenic four-dimensionalscanning transmission electron microscopy (cryo-4DSTEM). By visualizing theincommensurate CDW induced lattice modulations in a skyrmion magnet EuAl4, wediscover two out-of-phase intra-unit cell shear modulations that specificallybreak the local inversion-symmetry. Our results provide direct evidence for theintertwined spin and charge orders in EuAl4 and key information about localsymmetry. Furthermore, we establish cryo-4DSTEM as an indispensable approach tounderstand CDW induced new quantum states of matter.

Real-space Visualization of Charge Density Wave Induced Local Inversion-Symmetry Breaking in a Skyrmion Magnet