Compact solitons in an Abelian-Higgs Chern-Simons model

In this paper we study one-dimensional static self-dual solitons with compact support in an Abelian-Higgs Chern-Simons model with a noncanonical kinetic term. We present an analytical solution which corresponds to a compacton located in a region with a linear electric charge density and where the scalar field gets maximum. We then consider a sequence of these compactons to construct periodic chains. In particular, one can construct a chain of multi-non-interacting compactons which is electrically neutral. This may have applications to planar models in condensed matter.