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

T. D. Oke (), M. Ndiaye, F. Hontinfinde and K. Boukheddaden
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T. D. Oke: Université d’Abomey-Calavi
M. Ndiaye: Université Paris-Saclay, Université de Versailles/St. Quentin en Yvelines-CNRS
F. Hontinfinde: Université d’Abomey-Calavi
K. Boukheddaden: Université Paris-Saclay, Université de Versailles/St. Quentin en Yvelines-CNRS

The European Physical Journal B: Condensed Matter and Complex Systems, 2021, vol. 94, issue 1, 1-11

Abstract: 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. Graphic Abstract

Date: 2021
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DOI: 10.1140/epjb/s10051-020-00027-1

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