Cluster-based Haldane state in edge-shared tetrahedral spin-cluster chain: Fedotovite K${}_2$Cu${}_3$O(SO${}_4$)${}_3$

Abstract

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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Cited by in corpus (13)

• Quantum Magnetism in Minerals
• Magnetic hexamers interacting in layers in the (Na,K)${}_2$Cu${}_3$O(SO${}_4{)}_3$ minerals
• Spin Triplet Ground-State in the Copper Hexamer Compounds A2Cu3O(SO4)3 (A=Na,K)
• Cluster-based Haldane phases, bound magnon crystals and quantum spin liquids of a mixed spin-1 and spin-1/2 Heisenberg octahedral chain
• Spin-Coupling Topology in the Copper Hexamer Compounds A${}_2$Cu${}_3$O(SO${}_4$)${}_3$ (A=Na, K)
• Cluster-Based Haldane States in Spin-1/2 Cluster Chains
• Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra
• Insights into nature of magnetization plateaus of a nickel complex [Ni4(CO3)2(aetpy)8](ClO4)4 from a spin-1 Heisenberg diamond cluster
• Imbalanced spin couplings in the copper hexameter compounds A2Cu3O(SO4)3 (A2=Na2, NaK, K2)
• Long range 3D magnetic structures of the spin $S$=1 hexamer cluster fedotovite-like A${}_2$Cu${}_3$O(SO${}_4$)${}_3$ (A${}_2$=K${}_2$, NaK, Na${}_2$): a neutron diffraction study
• Quasi-fractionalization of spin in a cluster-based Haldane state supported by chirality of a triangular spin tube
• High-field NMR study of the spin correlations in the spin-cluster mineral Na${}_2$Cu${}_3$O(SO${}_4$)${}_3$
• Parity-dependent phase diagrams in spin-cluster two-leg ladders