Walls and chains of planar skyrmions

Details Walls and chains of planar skyrmions Walls and chains of planar skyrmions

2007-11-20

arxiv.org/abs/0711.3166v1

Phys.Rev.D77:045009,2008

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 5 figures Submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.77.045009

In planar (baby) Skyrme systems, there may be extended linear structures which resemble either domain walls or chains of skyrmions, depending on the choice of potential and boundary conditions. We show that systems with a single vacuum, for example with potential V=1-phi_3, admit chain solutions, whereas walls are ruled out by the uniqueness of the vacuum. On the other hand, in double-vacuum systems such as V=1/2*(1-phi_3^2), one has stable wall solutions, but there are no stable chains; the walls may be viewed as the primary objects in such systems, with skyrmions being made out of them.

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