Title
Self-dual CP (2) vortex-like solitons in the presence of magnetic impurities
Date Issued
01 July 2022
Access level
open access
Resource Type
journal article
Author(s)
Almeida V.
Da Hora E.
Krusch S.
Universidade Federal Do Maranhão
Publisher(s)
American Physical Society
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 of 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 δ function.
Volume
106
Issue
1
Language
English
OCDE Knowledge area
Física atómica, molecular y química
Scopus EID
2-s2.0-85136303774
Source
Physical Review D
ISSN of the container
24700010
Sponsor(s)
This work was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001, the Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico—CNPq and the Fundação de Amparo à Pesquisa e ao Desenvolvimento Científico e Tecnológico do Maranhão—FAPEMA (Brazilian agencies). In particular, V. A. thanks the full support from CAPES (via a Ph.D. scholarship). R. C. acknowledges the support from the Grants No. CNPq/306724/2019-7, No. CNPq/423862/2018-9, No. FAPEMA/Universal-01131/17, and No. FAPEMA/Universal-00812/19. E. H. thanks the support from the grants No. CNPq/307545/2016-4, No. CNPq/309604/2020-6 and No. FAPEMA/COOPI/07838/17. S. K. would like to thank Jack McKenna and Abera Muhamed for interesting discussions. E. H. also acknowledges the School of Mathematics, Statistics and Actuarial Science of the University of Kent (Canterbury, United Kingdom) for the kind hospitality during the realization of part of this work.
Sources of information: Directorio de Producción Científica Scopus