# Crystal Symmetry Lowering in Chiral Multiferroic Ba$_3$TaFe$_3$Si$_2$O$_{14}$ observed by X-Ray Magnetic Scattering

## TL;DR

This study uses resonant soft X-ray diffraction to investigate the magnetic and electronic structure of the chiral multiferroic Ba$_3$TaFe$_3$Si$_2$O$_{14}$, revealing symmetry lowering associated with magnetic order.

## Contribution

It provides detailed experimental evidence and theoretical analysis of symmetry lowering in a chiral multiferroic, linking magnetic order to crystal symmetry changes.

## Key findings

- Observation of satellite reflections indicating magnetic order
- Dissimilar energy dependence of magnetic satellites at Fe L3 edge
- Loss of threefold crystal symmetry in the multiferroic phase

## Abstract

Chiral multiferroic langasites have attracted attention due to their doubly-chiral magnetic ground state within an enantiomorphic crystal. We report on a detailed resonant soft X-ray diffraction study of the multiferroic Ba$_3$TaFe$_3$Si$_2$O$_{14}$ at the Fe $L_{2,3}$ and oxygen $K$ edges. Below $T_N$ ($\approx27K$) we observe the satellite reflections $(0,0,\tau)$, $(0,0,2\tau)$, $(0,0,3\tau)$ and $(0,0,1-3\tau)$ where $\tau \approx 0.140 \pm 0.001$. The dependence of the scattering intensity on X-ray polarization and azimuthal angle indicate that the odd harmonics are dominated by the out-of-plane ($\mathbf{\hat{c}}$-axis) magnetic dipole while the $(0,0,2\tau)$ originates from the electron density distortions accompanying magnetic order. We observe dissimilar energy dependences of the diffraction intensity of the purely magnetic odd-harmonic satellites at the Fe $L_3$ edge. Utilizing first-principles calculations, we show that this is a consequence of the loss of threefold crystal symmetry in the multiferroic phase.