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The asymmetric distribution of chiral objects with opposite chirality is ofgreat fundamental interests ranging from molecular biology to particle physics.In quantum materials, chiral states can build on inversion-symmetry-breakinglattice structures or emerge from spontaneous magnetic ordering induced bycompeting interactions. Although the handedness of a chiral state can bechanged through external fields, a spontaneous chirality flipping has yet to bediscovered. In this letter, we present experimental evidence of chiralityflipping via changing temperature in a topological magnet EuAl$_4$, whichfeatures orthogonal spin and charge density waves (SDW/CDW). Using circulardichroism of Bragg peaks in the resonant magnetic x-ray scattering, we findthat the chirality of the helical SDW flips through a first order phasetransition with modified SDW wavelength. Intriguingly, we observe that the CDWcouples strongly with the SDW and displays a rarecommensurate-to-incommensurate transition at the chirality flippingtemperature. Combining with first principles calculations and angle resolvedphotoemission spectroscopy, we establish the Fermi surface origin of thehelical SDW with intertwined spin, charge, and lattice degrees of freedom inEuAl$_4$. Our results reveal an unprecedented spontaneous chirality flippingand lays the groundwork for a new functional manipulation of chirality throughmomentum dependent spin-charge-lattice interactions.

Spontaneous Chirality Flipping in an Orthogonal Spin-Charge Ordered Topological Magnet