# Questions tagged [skyrmion]

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### Helicity vs vorticity in skyrmion lattice

I am interested in clarifying the difference between the helicity and vorticity of a skyrmion. There has been interest in centrosymmetric skyrmion hosting materials due to centrosymmetry giving a ...
• 1
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### Concise formula for Skyrmion number of a four-band Hamiltonian

The Haldane model on the honeycomb lattice is often written as $H=\sum_{i=0}^3 \vec{d}_i\cdot \vec{\sigma}_i$ where $\vec{\sigma}$ is the vector of Pauli matrices and $\vec{d}$ is a vector of ...
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### Hopfion with only in-plane vortex rather than skyrmion along the torus?

A simple torus-like hopfion with hopf charge $Q_H=1$ will typically exhibit a skyrmion at each slice cutting the toroidal circle. What if the skyrmion is replaced by an in-plane 2D vortex, i.e., we ...
• 3,352
43 views

### How can I see the Calculation process of the skyrmion number?

I'm having a problem calculating a skyrmion number. below equations are from Wikipedia - Magnetic skyrmion I know that I should use the chain rule with the polar, spherical coordinate system. But I ...
• 1
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### What is the modern status on the Skyrmion theory of baryons?

It was noticed in the 1960s that chiral perturbation theory, describing the goldstone-bosons (pions) of the breaking $SU(N_f)_L \times SU(N_f)_R \to SU(N_f)_V$ of the chiral symmetry, has solitonic ...
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50 views

### Circular symmetry argument in integration

I'm working through a book on magnetic skyrmions and in some calculations the integral $\int d^2 \vec{r}\, \left(\partial_x \vec{S}\right)\cdot\left(\partial_y \vec{S}\right)$ pops up, where we ...
231 views

### What is the difference between a skyrmion and a magnetic vortex?

Skyrmions and magnetic vortices are spin structures occurring in magnets. What are the differences between them? More specifically, I would like to understand their origin and how to distinguish them.
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1 vote
113 views

### A primer on topological solitons in scalar field theories

As the title suggests I want to learn more about topological solitons in scalar field theories. I am searching for a resource which is self-contained, in the sense that it also explains the ...
1 vote
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