Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics

Abstract

We have studied BPS vortices in a CPT-odd and Lorentz-violating Maxwell-Chern-Simons-Higgs (MCSH) electrodynamics attained from the dimensional reduction of the Carroll-Field-Jackiw-Higgs model. The Lorentz-violating parameter induces a pronounced behavior at origin (for the magnetic/electric fields and energy density) which is absent in the MCSH vortices. For some combination of the Lorentz-violating coefficients there always exist a sufficiently large winding number $n_0$ such that for all the magnetic field flips its signal, yielding two well defined regions with opposite magnetic flux. However, the total magnetic flux remains quantized and proportional to the winding number.

Revtex style, 8 pages

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• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• Nontopological first-order vortices in a gauged $CP(2)$ theory endowed with the Chern-Simons action
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling