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

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Abstract

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.

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Acknowledgements

The results contained in the present paper have been partially presented in WASCOM 2021. The authors acknowledge the financial support from INdAM-GNFM and MUR (Italian Ministry of University and Research) through project PRIN2017 n. 2017YBKNCE entitled “ Multiscale phenomena in Continuum Mechanics: singular limits, off-equilibrium and transitions”. PV also acknowledges the research project “ Mathematical Methods in Non Linear Physics (MMNLP)” by the Commissione Scientifica Nazionale – Gruppo 4 – Fisica Teorica of the Istituto Nazionale di Fisica Nucleare (INFN). OG acknowledges funding from the Deutsche Forschungsgemeinschaft via TRR 288- 422213477 (projects A09).

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Authors and Affiliations

  1. Department of Mathematical, Computer, Physical and Earth Sciences, University of Messina, Messina, Italy

    Giancarlo Consolo & Pierandrea Vergallo

  2. Institute of Physics, J. Gutenberg, University of Mainz, Mainz, Germany

    Olena V. Gomonay

  3. Department of Mathematics F. Enriques, University of Milano, Milan, Italy

    Pierandrea Vergallo

  4. Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milan, Italy

    Pierandrea Vergallo

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  1. Giancarlo Consolo
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  2. Olena V. Gomonay
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  3. Pierandrea Vergallo
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Correspondence to Pierandrea Vergallo.

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Consolo, G., Gomonay, O.V. & Vergallo, P. Modelling domain-wall orientation in antiferromagnets driven by magnetoelastic interactions and volume variations. Ricerche mat (2023). https://doi.org/10.1007/s11587-023-00799-5

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  • DOI: https://doi.org/10.1007/s11587-023-00799-5

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