Lump-like solitons in a generalized Abelian-Higgs Chern–Simons model
Centro de Física e Departamento de Física, Faculdade de Ciências da Universidade do Porto, 4169-007, Porto, Portugal
2 Departamento de Física, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain
3 Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, Paraíba, Brazil
Revised: 5 November 2010
Published online: 8 January 2011
In this paper we study one-dimensional static self-dual non-topological solitons in an Abelian-Higgs Chern–Simons model with a non-canonical kinetic term. We choose a scalar potential with a single minimum and present an analytical soliton solution which corresponds to an electrically charged lump-like soliton without total momentum and located in a region where the scalar field gets maximum. The solitonic boundary conditions impose a discontinuity on the electric field across the soliton line where, then, there is a linear charge density.
© Springer-Verlag / Società Italiana di Fisica, 2011