Impurity-like solutions in vortex systems coupled to a neutral field

Abstract

In this work, a Maxwell-Higgs system is coupled to a neutral scalar field that engenders $Z_2$ symmetry. At critical coupling, the resulting field equations may be identified with those of a Maxwell-Higgs model doped with an impurity whose form changes according to properties of the neutral scalar field, such as the topological sector and position of its zeros. This allows for an interpretation of parameters appearing in impurity models in terms of properties of the kink-like defect, and provides a convenient way to understand and generate impurities. By solving the first order equations, we found vortices with a novel internal structure in relation to standard solutions. The procedure was also adapted to generate impurities for Chern-Simons-Higgs theory.

6 pages, 5 figures

References in corpus (4)

• A Theory of Dark Matter
• Radially symmetric scalar solitons
• Vortex solutions of an Abelian Higgs model with visible and hidden sectors
• N=2 SUSY Abelian Higgs model with hidden sector and BPS equations

Cited by in corpus (8)

• Impurity-doped stable domain walls in spherically symmetric spacetimes
• Maxwell-scalar system and scalar field with impurity: novel approach to find nontrivial solutions
• Geometrically constrained multifield models with BNRT solutions
• Impurity-doped scalar fields in arbitrary dimensions
• Two-field models in the presence of impurities
• Abelian Chern-Simons vortices in the presence of magnetic impurities
• Scalar fields with impurities in arbitrary dimensions: first-order framework and exact solutions
• Generalized scalar field models in the presence of impurities