journal article·2011-11

Frustration signatures in the anisotropic model of a nine-spin s = 3/2 ring with bond defect

P. Kozłowski, M. Antkowiak, G. Kamieniarz

Journal of Nanoparticle Research· Volume 13· Issue 11
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Abstract

Effects of magnetic frustration in the model of nine-membered antiferromagnetic s = 3/2 molecular spin ring are investigated. We use a Heisenberg spin model with nearest-neighbor interactions, single-ion anisotropy and with tunable bond defect leading to continuously varying topology: from closed to open ring. In order to identify a frustrated phase we calculate the full energy spectrum of the model and a number of thermodynamic quantities at low temperature. The calculations are performed by means of numerically exact methods: quantum transfer matrix and exact diagonalization. It is shown that total and local magnetizations, nearest-neighbor spin correlations and spin fluctuations can serve as consistent frustration signatures. Magnetizations and spin-spin correlations are reduced in the frustrated phase whereas fluctuations and correlations of fluctuations increase. The ground state in a frustrated phase is a m = 1/2 doublet and in the non-frustrated phase a m = 3/2 doublet. In the system studied bipartiteness is not opposite to frustration as there are regions in the parameter space for which the system is neither bipartite nor frustrated.
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Research context

OpenAlex topics: Magnetism in coordination complexes · Physics of Superconductivity and Magnetism · Theoretical and Computational Physics

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