Bessel function descriptions of magneto-chiral interactions (DMI)-magnetic and spin flexoelectric skyrmions

In this work we present an exact Bessel function solution to the variation equations for a ground state of the chiral Hamiltonians in the continuum limit for cylindrical symmetry. The solution imposes no constraints on the magnetic spin moment magnitude. The formulation is consistent with the genera...

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Bibliographic Details
Published in:Physica. B, Condensed matter Condensed matter, 2021-07, Vol.613, p.412980, Article 412980
Main Authors: Beyerlein, Adolph L., Beyerlein, Irene J.
Format: Article
Language:English
Subjects:
Amplitudes
Antiferromagnetism
Bessel functions
Dielectrics
DMI interactions
Electric fields
Exact solutions
Ferrimagnetic
Ferromagnetic
Hamiltonian functions
Hypothetical particles
Magnetic moments
Magnetic properties
Magnetic spin flexoelectric
Magnetism
Magneto-chiral
Particle theory
Skyrmion
Stiffness
Symmetry
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Summary:In this work we present an exact Bessel function solution to the variation equations for a ground state of the chiral Hamiltonians in the continuum limit for cylindrical symmetry. The solution imposes no constraints on the magnetic spin moment magnitude. The formulation is consistent with the generalized view of U. K. Roessler et al. Nature 442, 797–801 (2006) that both the magnetic moment amplitude and magnetic stiffness ratio are micromagnetic properties and variations in amplitude may be allowed. With the exact solutions, we reveal that the added stabilization energy of the 2D skyrmion relative to the 1D solution is the result of the cylindrical symmetry rather than specifics of the chiral interactions. The methods can be employed to understand Bloch type magnetic spin textures observed in MnSi and FeGe and Néel type magnetization textures in antiferromagnetic dielectrics and ferrimagnetic thin sheets with the application of an electric field. •The Bessel function solutions are exact solutions of chiral Hamiltonians that predict the skyrmion magnetic spin structures.•The Bessel function solutions may be used to interpret both Bloch and Neel type spin textures.•The exact solutions reveal the stabilization energy of the 2D skyrmion is entirely the result of cylindrical symmetry.•The exact solutions predict skyrmion radii of 3.8 reciprocal wave numbers in good agreement with U. K. Roessler et al., Nature, 442, 797-801 (2006).
ISSN:0921-4526
1873-2135
DOI:10.1016/j.physb.2021.412980