Modelling domain-wall orientation in antiferromagnets driven by magnetoelastic interactions and volume variations

In this paper, we build the mathematical framework to describe the physical phenomenon behind the equilibrium configuration joining two orthogonal antiferromagnetic domains that are simultaneously subject to magnetoelastic interactions and volume variations. To achieve this goal, we firstly define t...

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Published inRicerche di matematica Vol. 74; no. 1; pp. 477 - 490
Main Authors Consolo, Giancarlo, Gomonay, Olena V., Vergallo, Pierandrea
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.02.2025
Subjects
Antiferromagnetism
Boundary conditions
Domain walls
Nonlinear differential equations
Parabolic differential equations
Partial differential equations
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Summary:In this paper, we build the mathematical framework to describe the physical phenomenon behind the equilibrium configuration joining two orthogonal antiferromagnetic domains that are simultaneously subject to magnetoelastic interactions and volume variations. To achieve this goal, we firstly define the total energy of the system and deduce the governing equations by minimizing it with respect to the field variables. Then, in order to deduce the angular dependence of elastic and magnetoelastic energies, we solve the resulting system of nonlinear PDEs together with proper boundary conditions. Results of our analytical investigations and numerical simulations allow to identify the optimal setup in which the overall energy is minimized.
Bibliography:ObjectType-Article-1
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ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-023-00799-5