Sólitons BPS em um modelo CP(2) calibrado e estendido pela presença de uma impureza magnética

• Ano de defesa: 2023
• Autor(a) principal: ALMEIDA, Marcos Vinícius Conceição
• Orientador(a): SANTOS, Carlos Eduardo da Hora
• Banca de defesa: SANTOS, Carlos Eduardo da Hora Santos , SIFUENTES, Rodolfo Alvan Casana, SIMAS, Fabiano de Carvalho , SANTOS FILHO, Adalto Rodrigues Gomes dos , ALMEIDA, Carlos Alberto Santos de
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Maranhão
• Programa de Pós-Graduação: PROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCET
• Departamento: COORDENAÇÃO DO CURSO DE CIÊNCIA E TECNOLOGIA/CCET
• País: Brasil
• Palavras-chave em Português: Sólitons topológicos; Sólitons não topológicos; Formalismo BPS; Impureza magnética.
• Palavras-chave em Inglês: Topological solitons; Non-topological solitons; BPS formalism; Magnetic impurities .
• Área do conhecimento CNPq: Física Geral
• Link de acesso: https://tedebc.ufma.br/jspui/handle/tede/5059

We investigated the existence of BPS solitons in two gauged-CP(2) models extended via inclusion of magnetic impurities. Thus, through the implementation of the BPS (Bogomol’nyi-Prasad-Sommerfield) formalism, we observe that the total energy possesses a well-defined Bogomol’nyi bound and a quantized magnetic flux for the topological configu- rations. Further, the analysis verified that the magnetic impurity contributes to the BPS potential and appears in the BPS equation in both models. We then introduce a Gaussian type impurity (which is commonly interpreted as a single barrier/well) for the topological and non-topological cases, and a periodic impurity (a chain of barriers/wells) for the non-topological case only (restricted to the Chern-Simons-CP(2) scenario). Thus, we solve the self-dual equations numerically, according to the boundary conditions corresponding to each case. The resulting solutions present a non-monotonic behavior that inverts the magnetic and electric fields, for the topological case. For the non-topological case, the main effects caused by impurities include a large electrical sector response, with the formation of a periodic profile that spreads to the asymptotics and a multilayered magnetic ring which maintains the magnetic flux confined to the original region in space.