# Weak ferromagnetic order breaking the threefold rotational symmetry of the underlying kagom\'e lattice in CdCu$_3$(OH)$_6$(NO$_3$)$_2\cdot$H$_2$O

## TL;DR

This study reveals that the kagomé antiferromagnet CdCu₃(OH)₆(NO₃)₂·H₂O exhibits a unique in-plane ferromagnetic order below 4 K, breaking the lattice's threefold symmetry due to a specific spin structure influenced by Dzyaloshinskii-Moriya interactions.

## Contribution

It demonstrates the realization of a specific q=0 120° spin structure with negative vector chirality, breaking the kagomé lattice symmetry, which is a novel magnetic phase in this material.

## Key findings

- Antiferromagnetic order with spontaneous in-plane magnetization below 4 K
- Breaks threefold rotational symmetry of the kagomé lattice
- Associated with negative vector chirality and Dzyaloshinskii-Moriya interaction

## Abstract

Novel magnetic phases are expected to occur in highly frustrated spin systems. Here we study the structurally perfect kagom\'e antiferromagnet CdCu$_3$(OH)$_6$(NO$_3$)$_2\cdot$H$_2$O by magnetization, magnetic torque, and heat capacity measurements using single crystals.An antiferromagnetic order accompanied by a small spontaneous magnetization that surprisingly is confined in the kagom\'e plane sets in at $T_\mathrm{N}\approx$4 K, well below the nearest-neighbor exchange interaction $J / k_B$ = 45 K.This suggests that a unique $\bf q = 0$ type 120$^\circ$ spin structure with "negative" (downward) vector chirality, which breaks the underlying threefold rotational symmetry of the kagom\'e lattice and thus allows a spin canting within the plane, is exceptionally realized in this compound rather than a common one with "positive" (upward) vector chirality. The origin is discussed in terms of the Dzyaloshinskii-Moriya interaction.

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Source: https://tomesphere.com/paper/1703.09357