Hexagonal Structure of Baby Skyrmion Lattices

Abstract

We study the zero-temperature crystalline structure of baby Skyrmions by applying a full-field numerical minimization algorithm to baby Skyrmions placed inside different parallelogramic unit-cells and imposing periodic boundary conditions. We find that within this setup, the minimal energy is obtained for the hexagonal lattice, and that in the resulting configuration the Skyrmion splits into quarter-Skyrmions. In particular, we find that the energy in the hexagonal case is lower than the one obtained on the well-studied rectangular lattice, in which splitting into half-Skyrmions is observed.

arXiv commentRevTeX, 7 pages, 6 figures

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• Baby Skyrmion crystals
• Hidden Local Symmetry and Dense Half-Skyrmion Matter
• Skyrme crystals with massive pions
• Review of Rotational Symmetry Breaking in Baby Skyrme Models