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.

Date

March 1, 2008

Authors

Itay Hen, Marek Karliner

Journal

Physical Review D—Particles, Fields, Gravitation, and Cosmology

Volume

77

Issue

5

Pages

054009

Publisher

American Physical Society