Surface Current-carrying Domain Walls

Domain walls, arising from the spontaneous breaking of a discrete symmetry, can be coupled to charge carriers. In much the same way as the Witten model for superconducting cosmic string, an investigation is made here in the case of U(1) × Z2 → U(1), where a bosonic charge carrier is directly coupled to the wall-forming Higgs field. All internal quantities, such as the energy per unit surface and the surface current, are calculated numerically to provide the first complete analysis of the internal structure of a surface current-carrying domain wall. PACS numbers: 98.80.Cq, 11.27+d Typeset using REVTEX