边共享四面体自旋团簇链中的铁基Half电子态：Fedotovite K $_2$ Cu $_3$ O（SO $_4$）$_3$
Cluster-based Haldane state in edge-shared tetrahedral spin-cluster chain: Fedotovite K$_2$Cu$_3$O(SO$_4$)$_3$
摘要：
Fedotovite K $_2$ Cu $_3$ O（SO $_4$）$_3$是一种新的量子自旋体系的候选者，其中由Cu $^{2+}$组成的共边四面体（EST）自旋团簇通过弱团簇间耦合连接形成一维阵列。通过磁化率、磁化强度、热容量和非弹性中子散射测量的综合实验研究揭示了在低于$T \cong 4$ K时存在有效的$S$ = 1的Halcohol态。严格的理论研究提供了对K $_2$ Cu $_3$ O（SO $_4$）$_3$的磁状态的深入了解：EST簇在基态中产生三重态，并且EST的一维链诱导基于簇的Half态。我们预测，当EST中四面体的数目为$even$时，基于团簇的Haldene态出现。
英文摘要：
Fedotovite K$_2$Cu$_3$O(SO$_4$)$_3$ is a candidate of new quantum spin systems, in which the edge-shared tetrahedral (EST) spin-clusters consisting of Cu$^{2+}$ are connected by weak inter-cluster couplings to from one-dimensional array. Comprehensive experimental studies by magnetic susceptibility, magnetization, heat capacity, and inelastic neutron scattering measurements reveal the presence of an effective $S$ = 1 Haldane state below $T \cong 4$ K. Rigorous theoretical studies provide an insight into the magnetic state of K$_2$Cu$_3$O(SO$_4$)$_3$: an EST cluster makes a triplet in the ground state and one-dimensional chain of the EST induces a cluster-based Haldane state. We predict that the cluster-based Haldene state emerges whenever the number of tetrahedra in the EST is $even$.
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