Compact Vortices

Abstract

We study a family of Maxwell-Higgs models, described by the inclusion of a function of the scalar field that represent generalized magnetic permeability. We search for vortex configurations which obey first-order differential equations that solve the equations of motion. We first deal with the asymptotic behavior of the field configurations, and then implement a numerical study of the solutions, the energy density and the magnetic field. We work with the generalized permeability having distinct profiles, giving rise to new models, and we investigate how the vortices behave, compared with the solutions of the corresponding standard models. In particular, we show how to build compact vortices, that is, vortex solutions with the energy density and magnetic field vanishing outside a compact region of the plane.

9 pages, 12 figures; v2, motivation and references added

References in corpus (16)

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• Magnetic domain walls in constrained geometries
• Gauge k-vortices
• Dual equivalence between Self-Dual and Maxwell-Chern-Simons models coupled to dynamical U(1) charged matter
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• Generalized self-dual Chern-Simons vortices
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• Compact vortex in a generalized Born-Infeld model
• Compact Q-balls
• Topological strength of magnetic skyrmions
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• Compact Lumps
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Cited by in corpus (14)

• Magnetic monopoles with internal structure
• Cuscuton kinks and branes
• First Order Formalism for Generalized Vortices
• Analytic vortex solutions in generalized models of the Maxwell-Higgs type
• Planar ringlike vortices
• Compact Chern-Simons vortices
• Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics
• Self-dual effective compact and true compacton configurations in generalized Abelian Higgs models
• Vortices in Maxwell-Chern-Simons-Higgs models with nonminimal coupling
• The volume of a vortex and the Bradlow bound
• Quasi-compact vortices
• Vortices in vacuumless systems
• Compact structures in impurity-doped vacuumless systems
• First order framework for gauge k-vortices