Hexagonal Structure of Baby Skyrmion Lattices

Details Hexagonal Structure of Baby Skyrmion Lattices Hexagonal Structure of Baby Skyrmion Lattices

2007-11-15

arxiv.org/abs/0711.2387v4

Phys.Rev.D77:054009,2008

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 7 pages, 6 figures

Scientific paper

10.1103/PhysRevD.77.054009

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.

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