Eur. Phys. J. C 71, 1519 (2011)
https://doi.org/10.1140/epjc/s10052-010-1519-8

Lump-like solitons in a generalized Abelian-Higgs Chern–Simons model

¹ 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

cssilva@fc.up.pt

Received: 9 July 2010
Revised: 5 November 2010
Published online: 8 January 2011

Abstract

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.