Magnetic diffuse scattering of the $S$ = 5/2 fcc antiferromagnets Ba$_2$MnTeO$_6$ and Ba$_2$MnWO$_6$

Otto H. J. Mustonen, Charlotte E. Pughe, Lucile Mangin-Thro, Robert Tarver, Heather M. Mutch, Helen C. Walker, Edmund J. Cussen
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Abstract

We have investigated the magnetic diffuse scattering of isostructural $S$ = 5/2 fcc antiferromagnets Ba$_2$MnTeO$_6$ and Ba$_2$MnWO$_6$ using polarized neutrons. Both materials display short-range correlated magnetism above their respective magnetic ordering temperatures of 20 K and 8 K. The spin correlations were analysed using a Reverse Monte Carlo approach. For Ba$_2$MnTeO$_6$, we find antiferromagnetic nearest-neighbor correlations along with ferromagnetic next-nearest neighbor correlations directly linked to the Type I order below $T_N$. For Ba$_2$MnWO$_6$, both the nearest-neighbor and next-nearest-neighbor spin correlations are antiferromagnetic in the paramagnetic state. The short-range spin correlations persist up to $T$ = 7$T_N$. The magnetic diffuse scattering was also fitted using Onsager reaction-field theory allowing us to evaluate the magnetic interactions in these materials. We obtained $J_1$ = -3.25(3) K and $J_2$ = 0.41(2) K for Ba$_2$MnTeO$_6$ and $J_1$ = -1.08(1) K and $J_2$ = -0.88(1) K for Ba$_2$MnWO$_6$. These interactions are comparable to previous results from inelastic neutron scattering experiments below $T_N$, which highlights the potential of the Onsager approach for the analysis of magnetic interactions.
S$ = 5/2 fcc 反铁磁体 Ba$_2$MnTeO$_6$ 和 Ba$_2$MnWO$_6$ 的磁扩散散射
我们利用偏振中子研究了等结构 $S$ =5/2 fcc 反铁磁体 Ba$_2$MnTeO$_6$ 和 Ba$_2$MnWO$_6$ 的磁扩散散射。这两种材料在各自的磁有序温度 20 K 和 8 K 以上都显示出短程相关磁性。对于 Ba$_2$MnTeO$_6$,我们发现反铁磁近邻相关性以及铁磁近邻相关性与低于 $T_N$ 的 I 型有序直接相关。对于 Ba$_2$MnWO$_6$ 来说,在顺磁态下,最近邻和最近邻自旋相关性都是反铁磁的。短程自旋相关性一直持续到 $T$ =7$T_N$ 。磁扩散散射也用昂萨格反应场理论进行了拟合,使我们能够评估这些材料中的磁相互作用。我们得到了 Ba$_2$MnTeO$_6$ 的 $J_1$ = -3.25(3) K 和 $J_2$ = 0.41(2) K,以及 Ba$_2$MnWO$_6$ 的 $J_1$ = -1.08(1) K 和 $J_2$ = -0.88(1) K。这些相互作用与以前在低于 $T_N$ 的非弹性中子散射实验中得出的结果相当,这突出了昂萨格方法在分析磁性相互作用方面的潜力。
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