1998/06/01 by K. Arthur, Y. Brihaye, Yves Brihaye +1 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Nonlinear Waves and Solitons #Nonlinear Photonic Systems
paper · doi:10.1063/1.532444
The interaction energy between vortices of the generalized Abelian Higgs vortices is studied numerically. These are the solitons of the p-th member of the hierarchy of MaxwellHiggs systems, the p=1 member of which is the usual Abelian Higgs model. It is found that for all p, these vortices have both attractive and repulsive phases, the strengths of these interactions decreasing successively for increasing p. A detailed comparison of the p=1,2 and p=3 cases is made quantitatively, and an extended model, composed of the p=1 and p=2 members, is studied in some detail and shown to exhibit attractive and repulsive phases.