# 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…

## 8 Citations

Effective field theory of magnons: Chiral magnets and the Schwinger mechanism

- PhysicsPhysical Review B
- 2021

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.…

Exact Phase Structure of One Dimensional Chiral Magnets

- Physics
- 2020

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…

Dzyaloshinskii-Moriya type interaction

- 2021

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…

Near-BPS baby Skyrmions with Gaussian tails

- Physics
- 2021

We consider the baby Skyrme model in a physically motivated limit of reaching the restricted or BPS baby Skyrme model, which is a model that enjoys area-preserving diffeomorphism invariance. The…

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- Physics, Mathematics
- 2020

We show that a suitable background field can bring a non-BPS topological soliton into its BPS, self-dual, counterpart. As an example we consider Skyrmions in the minimal Skyrme model. We prove the…

Isolated skyrmions in the
CP2
nonlinear sigma model with a Dzyaloshinskii-Moriya type interaction

- Physics
- 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 $SU(3)$…

Exploring instantons with spin-lattice systems

- Physics
- 2020

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…

Near-BPS baby Skyrmions

- Physics
- 2020

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…

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