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Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction

Author

Listed:
  • Nicolás Grandi

    (Instituto de Física de La Plata – CONICET & Departamento de Física – UNLP)

  • Marcela Lagos

    (Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile)

  • Julio Oliva

    (Departamento de Física, Universidad de Concepción)

  • Aldo Vera

    (Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile)

Abstract

On the two-dimensional non-linear Σ-model describing a ferromagnet with Dzyaloshinskii-Moriya interaction, we build three families of exact static solutions depending on a single Cartesian variable. One of them describes a clockwise helix configuration, that characterizes the ground state of the system. A second one corresponds to a counterclockwise helix, representing an excited state. These two families of solutions are parameterized by a continuous parameter that depends on the magnetic field and the Dzyaloshinskii-Moriya coupling. Finally, the third family exists only for isolated values of the same parameter, corresponding to a discrete family of Viviani curves on the target sphere. The degeneracy of the resulting spectrum suggests that an approximate symmetry may emerge at specific values of the magnetic field, at which additional solutions could then exist. Graphical abstract

Suggested Citation

  • Nicolás Grandi & Marcela Lagos & Julio Oliva & Aldo Vera, 2019. "Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(11), pages 1-7, November.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:11:d:10.1140_epjb_e2019-100395-3
    DOI: 10.1140/epjb/e2019-100395-3
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    Keywords

    Solid State and Materials;

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