Elastic modeling of spin-crossover materials has boomed remarkably these last years. Among these models, the electro-elastic model combining spin and lattice degrees of freedom showed good abilities of fair description of the thermodynamics and spin-crossover solids. In the present work, we explore a new treatment of this model based on a homogeneous description of the lattice spacing with well separate relaxation timescales for the lattice and spin state degrees of freedom. This description is analogous to the Born–Oppenheimer approximation and allows analytic treatment of the elastic part of the model, thus simplifying considerably the model resolution. As a result, we have been able to demonstrate the equivalence between the genuine electro-elastic model and an Ising-like Hamiltonian with competing long-range ferro-like and short-range (nearest neighbors and next-nearest neighbors along diagonals) antiferro-like interactions, whose relationship with the high-spin to low-spin misfit elastic energy has been established. This model generates intrinsic elastic frustration in the lattice, which leads to a rich variety of hysteretic first-order transitions made of one- two-, three-, or four-step behaviors. Complex self-organizations of the spin states are evidenced in the plateau regions in the form of checkerboard-like, stripes-like patterns, constituted of alternate high-spin and low-spin ferro-like stripes or alternate ferro high-spin (or low-spin) and antiferro-like chains, as well labyrinth structures.
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21 April 2021
Research Article|
April 15 2021
Isomorphism between the electro-elastic modeling of the spin transition and Ising-like model with competing interactions: Elastic generation of self-organized spin states
Special Collection:
Spin Transition Materials: Molecular and Solid-State
Mamadou Ndiaye
;
Mamadou Ndiaye
1
Université Paris-Saclay, UVSQ, CNRS, GEMaC
, 45 Avenue des Etats Unis, 78035 Versailles, France
2Département de Physique, FST,
Université Cheikh Anta Diop de Dakar
, FST, BP 5005, Fann, Dakar, Senegal
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Yogendra Singh
;
Yogendra Singh
1
Université Paris-Saclay, UVSQ, CNRS, GEMaC
, 45 Avenue des Etats Unis, 78035 Versailles, France
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Houcem Fourati
;
Houcem Fourati
1
Université Paris-Saclay, UVSQ, CNRS, GEMaC
, 45 Avenue des Etats Unis, 78035 Versailles, France
3
Laboratoire de Physique Appliquée, Université de Sfax, FSS
, Route de Soukra km 3.5, 3000, Sfax, Tunisia
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Mouhamadou Sy
;
Mouhamadou Sy
4Département de Physique,
Université Assane Seck de Ziguinchor
, LCPM, BP 523, Ziguinchor, Senegal
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Bassirou Lo
;
Bassirou Lo
2Département de Physique, FST,
Université Cheikh Anta Diop de Dakar
, FST, BP 5005, Fann, Dakar, Senegal
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Kamel Boukheddaden
Kamel Boukheddaden
a)
1
Université Paris-Saclay, UVSQ, CNRS, GEMaC
, 45 Avenue des Etats Unis, 78035 Versailles, France
a)Author to whom correspondence should be addressed: kamel.boukheddaden@uvsq.fr
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a)Author to whom correspondence should be addressed: kamel.boukheddaden@uvsq.fr
Note: This paper is part of the Special Topic on: Spin Transition Materials: Molecular and Solid-State
J. Appl. Phys. 129, 153901 (2021)
Article history
Received:
January 28 2021
Accepted:
March 29 2021
Citation
Mamadou Ndiaye, Yogendra Singh, Houcem Fourati, Mouhamadou Sy, Bassirou Lo, Kamel Boukheddaden; Isomorphism between the electro-elastic modeling of the spin transition and Ising-like model with competing interactions: Elastic generation of self-organized spin states. J. Appl. Phys. 21 April 2021; 129 (15): 153901. https://doi.org/10.1063/5.0045689
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