# Skyrmion Interactions and Lattices in Solvable Chiral Magnets

@article{Ross2020SkyrmionIA, title={Skyrmion Interactions and Lattices in Solvable Chiral Magnets}, author={Calum Ross and Norisuke Sakai and Muneto Nitta}, journal={arXiv: Mesoscale and Nanoscale Physics}, year={2020} }

We study two-body interactions of magnetic skyrmions on the plane and apply them to a (mostly) analytic description of a skyrmion lattice. This is done in the context of the solvable line, a particular choice of a potential for magnetic anisotropy and Zeeman terms, where analytic expressions for skyrmions are available. Along the solvable line the interaction energy for a pair of skyrmions is repulsive with power law fall off in contrast to the exponential decay found when the potential… Expand

#### 8 Citations

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We develop the effective field theoretical descriptions of spin systems in the presence of symmetry-breaking effects: the magnetic field, single-ion anisotropy, and Dzyaloshinskii-Moriya interaction.… Expand

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We determine exactly the phase structure of a chiral magnet in one spatial dimension with the Dzyaloshinskii-Moriya (DM) interaction and a potential that is a function of the third component of the… Expand

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We study two dimensional soliton solutions in the CP 2 nonlinear σ-model with a Dzyaloshinskii-Moriya type interaction. First, we derive such a model as a continuous limit of the SU(3) tilted… Expand

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Isolated skyrmions in the
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- 2021

We study two dimensional soliton solutions in the $CP^2$ nonlinear $\sigma$-model with a Dzyaloshinskii-Moriya type interaction. First, we derive such a model as a continuous limit of the $SU(3)$… Expand

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Instanton processes are present in a variety of quantum field theories relevant to high energy as well as condensed matter physics. While they have led to important theoretical insights and physical… Expand

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We consider the baby-Skyrme model in the regime close to the so-called restricted baby-Skyrme model, which is a BPS model with area-preserving diffeomorphism invariance. The perturbation takes the… Expand

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