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Magnetic-field induced multi-step transitions in ferromagnetic spin-crossover solids within the BEG model

  • Regular Article - Solid State and Materials
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Abstract

We study by means of the 2D Blume–Emery–Griffiths (BEG) spin-1 model, spin-crossover (SCO) and prussian blue analogs (PBAs) solids. In this model, the spin states, which can be high-spin (HS) or low-spin (LS), interact magnetically and elastically with their nearest neighbors. To account for the volume change, accompanying the spin transition phenomenon, all interactions through the lattice are assumed as temperature-dependent. In addition, the system is subject to a variable magnetic field lifting the degeneracy in the HS state. A stochastic cooperative dynamics of this BEG-like Hamiltonian, describing the equilibrium and nonequilibrium properties of ferromagnetic spin-crossover solids, is derived from the Glauber approach, with appropriate Arrhenius microscopic transition rates. The model generates under the magnetic field, sigmoidal relaxation and a hysteresis phenomenon of the HS fraction, as well as multistep behavior of the magnetization. These behaviors open the way to new route of multi-stable systems, desired in multi-byte electronics.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The generated data are obtained with Fortran Code based on evolving system equations and help us to display all figures reported in this paper which are available on request by T. D. OKE.]

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Acknowledgements

The authors would like to thank J. Linares for fruitful discussions on the present results. T.D. OKE acknowledges financial support from the “Groupe d’Etudes de la Matière Condensée” (GEMaC) of the “Université de Versailles Saint-Quentin” (UVSQ) and CNRS during a visit.

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Authors and Affiliations

  1. Département de Physique (FAST) et Institut des Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi, 01, BP 613, Porto-Novo, Benin

    T. D. Oke & F. Hontinfinde

  2. Groupe d’Etudes de la Matière Condensée, Université Paris-Saclay, Université de Versailles/St. Quentin en Yvelines-CNRS, 45 Avenue des Etats Unis., 78035, Versailles Cedex, France

    T. D. Oke, M. Ndiaye & K. Boukheddaden

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  1. T. D. Oke
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Correspondence to T. D. Oke.

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Oke, T.D., Ndiaye, M., Hontinfinde, F. et al. Magnetic-field induced multi-step transitions in ferromagnetic spin-crossover solids within the BEG model. Eur. Phys. J. B 94, 38 (2021). https://doi.org/10.1140/epjb/s10051-020-00027-1

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