Dzyaloshinskii-Moriya anisotropy effect on field-induced magnon condensation in kagome antiferromagnet $\hat{I}\pm -C{u}_{3}Mg(OH{)}_{6}B{r}_2$

Abstract

We performed a comprehensive electron spin resonance, magnetization and heat capacity study on the field-induced magnetic phase transitions in the kagome antiferromagnet $\hat{I}\pm -C{u}_{3}Mg(OH{)}_{6}B{r}_2$. With the successful preparation of single crystals, we mapped out the magnetic phase diagrams under the $c$-axis and $ab$-plane directional magnetic fields $B$. For $B\Vert c$, the three-dimensional (3D) magnon Bose-Einstein condensation (BEC) is evidenced by the power law scaling of the transition temperature, $T_c\propto (B_c-B{)}^{2/3}$. For $B\Vert ab$, the transition from the canted antiferromagetic (CAFM) state to the fully polarized (FP) state is a crossover rather than phase transition, and the characteristic temperature has a significant deviation from the 3D BEC scaling. The different behaviors of the field-induced magnetic transitions for $B\Vert c$ and $B\Vert ab$ could result from the Dzyaloshinkii-Moriya (DM) interaction with the DM vector along the $c$-axis, which preserves the $c$-axis directional spin rotation symmetry and breaks the spin rotation symmetry when $B\Vert ab$. The 3D magnon BEC scaling for $B\Vert c$ is immune to the off-stoichiometric disorder in our sample $\hat{I}\pm -C{u}_{3.26}M{g}_{0.74}(OH{)}_{6}B{r}_2$. Our findings have the potential to shed light on the investigations of the magnetic anisotropy and disorder effects on the field-induced magnon BEC in the quantum antiferromagnet.

7 pages, 10 figures, 1 table