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Magnetic islands modelled by a phase-field-crystal approach

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Abstract

Using a minimal model based on the phase-field-crystal formalism, we study the coupling between the density and magnetization in ferromagnetic solids. Analytical calculations for the square phase in two dimensions are presented and the small deformation properties of the system are examined. Furthermore, numerical simulations are conducted to study the influence of an external magnetic field on various phase transitions, the anisotropic properties of the free energy functional, and the scaling behaviour of the growth of the magnetic domains in a crystalline solid. It is shown that the energy of the system can depend on the direction of the magnetic moments, with respect to the crystalline direction. Furthermore, the growth of the magnetic domains in a crystalline solid is studied and is shown that the growth of domains is in agreement with expected behaviour.

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Authors and Affiliations

  1. Physics Department, Rutherford Building, 3600 rue University, McGill University, Montréal, Québec, H3A 2T8, Canada

    Niloufar Faghihi & Martin Grant

  2. Department of Physics, University of Swaziland, Private Bag 4, Kwaluseni, M201, Swaziland

    Simiso Mkhonta

  3. Department of Physics, Oakland University, Rochester, MI, 48309, USA

    Ken R. Elder

Authors
  1. Niloufar Faghihi
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  2. Simiso Mkhonta
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  3. Ken R. Elder
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  4. Martin Grant
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Correspondence to Niloufar Faghihi.

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Faghihi, N., Mkhonta, S., Elder, K.R. et al. Magnetic islands modelled by a phase-field-crystal approach. Eur. Phys. J. B 91, 55 (2018). https://doi.org/10.1140/epjb/e2018-80543-9

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