Magnetization curves and low-temperature thermodynamics of two spin-1/2 Heisenberg edge-shared tetrahedra

Abstract

A full energy spectrum, magnetization and susceptibility of a spin-1/2 Heisenberg model on two edge-shared tetrahedra are exactly calculated by assuming two different coupling constants. It is shown that a ground state in zero field is either a singlet or a triplet state depending on a relative strength of both coupling constants. Low-temperature magnetization curves may exhibit three different sequences of intermediate plateaux at the following fractional values of the saturation magnetization: 1/3-2/3-1, 0-1/3-2/3-1 or 0-2/3-1. The inverse susceptibility displays a marked temperature dependence significantly influenced by a character of the zero-field ground state. The obtained theoretical results are confronted with recent high-field magnetization data of the mineral crystal fedotovite K2Cu3(SO4)3.

arXiv comment4 pages, 4 figures, presented at ICM 2018 conference

References in corpus (4)

• Magnetization plateaux and jumps in a class of frustrated ladders: A simple route to a complex behaviour
• Rigorous results on a first-order phase transition in antiferromagnetic spin-1/2 coupled chains
• Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral chain
• Cluster-based Haldane state in edge-shared tetrahedral spin-cluster chain: Fedotovite K${}_2$Cu${}_3$O(SO${}_4$)${}_3$

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• The specific heat and magnetic properties of a spin-1/2 ladder including butterfly-shaped unit blocks
• 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
• Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction