Self-dual $CP(2)$ vortex-like solitons in the presence of magnetic impurities

Abstract

We investigate the existence of vortex configurations in two gauged-$CP(2)$ models extended via the inclusion of magnetic impurities. In particular, we consider both the Maxwell-$CP(2)$ and the Chern-Simons-$CP(2)$ enlarged scenarios, separately. We choose a $CP(2)$-field configuration with a null topological charge not only in the simplest (free) case, but also when coupled to an Abelian gauge field. The implementation of the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism shows that the effective models for such a configuration possess a self-dual structure which looks like those inherent to the gauged sigma models. Therefore, when the $CP(2)$ field is coupled to the Maxwell term, the corresponding total energy possesses both a well-defined Bogomol'nyi bound and a quantized magnetic flux. Further, when the $CP(2)$ scenario is gauged with the Chern-Simons action, the total electric charge is verified to be proportional to the quantized magnetic flux. In addition, the analysis verifies that the magnetic impurity contributes to the BPS potentials and appears in both the models' BPS equations. Next, we introduce a Gaussian type impurity and solve the self-dual equations via a finite-difference scheme. The resulting solutions present a nonmonotonic behavior that flips both the magnetic and electric fields. Finally, we discuss the topologically trivial solutions in the limit for which the impurity becomes a Dirac $\delta$-function.

arXiv comment14 pages, 9 figures. Comments are welcome

References in corpus (26)

• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Vortices in multicomponent Bose-Einstein condensates
• 't Hooft-Polyakov Monopoles in an Antiferromagnetic Bose-Einstein Condensate
• Vortex pinning and dynamics in the neutron star crust
• Vortices and Impurities
• First Order Vortex Dynamics
• BPS soliton-impurity models and supersymmetry
• Magnetic Impurity Inspired Abelian Higgs Vortices
• The BPS property and its breaking in 1+1 dimensions
• Vortices and magnetic impurities
• Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
• A Detailed Study of Bogomol'nyi Equations in Two-Dimensional Generalized Maxwell-Higgs Model Using \textit{On-Shell} Method
• Direct observation of superconducting vortex clusters pinned by a periodic array of magnetic dots in ferromagnetic/superconducting hybrid structures
• Dynamics of multi-kinks in the presence of wells and barriers
• Slow Schroedinger dynamics of gauged vortices
• Magnetic order, Bose-Einstein condensation, and superfluidity in a bosonic t-J model of CP^1 spinons and doped Higgs holons
• Topological first-order vortices in a gauged CP(2) model
• First-order solitons with internal structures in an extended Maxwell-$CP(2)$ model
• Schrodinger-Chern-Simons Vortex Dynamics
• Topologically Stratified Energy Minimizers in a Product Abelian Field Theory
• First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term
• Method for monopole creation in spinor Bose-Einstein condensates
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function
• Topological first-order solitons in a gauged $CP(2)$ model with the Maxwell-Chern-Simons action
• Nontopological first-order vortices in a gauged $CP(2)$ theory endowed with the Chern-Simons action

Cited by in corpus (1)

• Abelian Chern-Simons vortices in the presence of magnetic impurities