Skyrmion Multi-Walls

Abstract

Skyrmion walls are topologically-nontrivial solutions of the Skyrme system which are periodic in two spatial directions. We report numerical investigations which show that solutions representing parallel multi-walls exist. The most stable configuration is that of the square $N$-wall, which in the $N\to \infty$ limit becomes the cubically-symmetric Skyrme crystal. There is also a solution resembling parallel hexagonal walls, but this is less stable.

7 pages, 1 figure

References in corpus (2)

• Skyrmions and the alpha-particle model of nuclei
• Chains of Skyrmions

Cited by in corpus (5)

• A Smörgåsbord of Skyrmions
• Generalized skyrmion crystals with applications to neutron stars
• Skyrme crystals with massive pions
• Deformed Skyrme Crystals
• Waves in the Skyrme--Faddeev model and integrable reductions