Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction

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 sys...

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Autores principales: Grandi, Nicolás Esteban, Lagos, Marcela, Oliva, Julio, Vera, Aldo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2019
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125364
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id I19-R120-10915-125364
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Magnetic field
Physics
Helix
Cartesian coordinate system
Degeneracy (mathematics)
Excited state
Variable (mathematics)
Coupling (probability)
Mathematical physics
Ground state
Coupling
Classical mechanics
spellingShingle Física
Magnetic field
Physics
Helix
Cartesian coordinate system
Degeneracy (mathematics)
Excited state
Variable (mathematics)
Coupling (probability)
Mathematical physics
Ground state
Coupling
Classical mechanics
Grandi, Nicolás Esteban
Lagos, Marcela
Oliva, Julio
Vera, Aldo
Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction
topic_facet Física
Magnetic field
Physics
Helix
Cartesian coordinate system
Degeneracy (mathematics)
Excited state
Variable (mathematics)
Coupling (probability)
Mathematical physics
Ground state
Coupling
Classical mechanics
description 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.
format Articulo
Preprint
author Grandi, Nicolás Esteban
Lagos, Marcela
Oliva, Julio
Vera, Aldo
author_facet Grandi, Nicolás Esteban
Lagos, Marcela
Oliva, Julio
Vera, Aldo
author_sort Grandi, Nicolás Esteban
title Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction
title_short Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction
title_full Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction
title_fullStr Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction
title_full_unstemmed Exact solutions for a ferromagnet with Dzyaloshinskii-Moriya interaction
title_sort exact solutions for a ferromagnet with dzyaloshinskii-moriya interaction
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/125364
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