Magnetic ground states and magnetodielectric effect in $R$Cr(BO${}_3$)${}_2$ ($R$ = Y and Ho)

Abstract

The layered perovskites $R$Cr(BO${}_3$)${}_2$ ($R$ = Y and Ho) with magnetic triangular lattices were studied by performing ac/dc susceptibility, specific heat, elastic and inelastic neutron scattering, and dielectric constant measurements. The results show (i) both samples' Cr${}^{3+}$ spins order in a canted antiferromagnetic structure with $T_N$ around 8-9 K, while the Ho${}^{3+}$ ions do not order down to $T$ = 1.5 K in HoCr(BO${}_3$)${}_2$; (ii) when a critical magnetic field H${}_C$ around 2-3 T is applied below $T_N$, the Cr${}^{3+}$ spins in the Y-compound and both the Cr${}^{3+}$ and Ho${}^{3+}$ spins in the Ho-compound order in a ferromagnetic state; (iii) both samples exhibit dielectric constant anomalies around the transition temperature and critical field, but the Ho-compound displays a much stronger magnetodielectric response. We speculate that this is due to the magnetostriction which depends on both of the Cr${}^{3+}$ and the Ho${}^{3+}$ ions' ordering in the Ho-compound. Moreover, by using linear spin wave theory to simulate the inelastic neutron scattering data, we estimated the Y-compound's intralayer and interlayer exchange strengths as ferromagnetic J${}_1$ = -0.12 meV and antiferromagnetic J${}_2$ = 0.014 meV, respectively. The competition between different kinds of superexchange interactions results in the ferromagnetic intralayer interaction.

11 pages, 12 figures