金刚石晶格中无无序转变：对$FeSc_2S_4$的应用
Absence of nematic ordering transition in a diamond lattice: Application to $FeSc_2S_4$
摘要：
Plumb等人[1]最近的中子散射观测表明，$FeSc_2S_4$的基态是磁性的，具有两种不同的Fe环境，而不是以前认为的量子自旋液体。从$FeSc_2S_4$的相关O（N）对称矢量模型出发，研究了离散（$Z_2$）和连续旋转对称性如何相继破缺，产生有序相和有序相.在高温下，我们发现序参量下降为$T^{-γ}$（$γ>0$），因此，$FeSc_2S_4$没有任何明显的有序温度。这一特征表明，$FeSc_2S_4$的三维金刚石晶格极易受到伊辛对称性破坏的影响，并解释了即使在高温下也存在两种不同的Fe环境，如穆斯堡尔谱和远红外光谱所示。
英文摘要：
Recent neutron scattering observations by Plumb et al. [1] reveal that the ground state of $FeSc_2S_4$ is magnetic with two distinct Fe environments, instead of a quantum spin liquid as had been previously thought. Starting with the relevant O(N)-symmetric vector model of $FeSc_2S_4$, we study how the discrete ($Z_2$) and continuous rotational symmetries are successively broken, yielding nematic and ordered phases. At high temperatures, we find that the nematic order parameter falls as $T^{-γ}$ ($γ>0$), and therefore, $FeSc_2S_4$ lacks any distinct nematic ordering temperature. This feature indicates that the three-dimensional diamond lattice of $FeSc_2S_4$ is highly susceptible to the breaking of Ising symmetries, and explains the two distinct Fe environments that is present even at high temperatures, as seen by Mössbauer and far infrared optical spectroscopy.
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