Supercondutividade e magnetismo em pnictídeos baseados em ferro no formalismo do grupo de renormalização até dois loops

• Autor(a) principal: Carvalho, Vanuildo Silva de
• Data de Publicação: 2012
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tde/2908
• topic: Supercondutividade; Magnetismo; Pnictídeos; Superconductivity; Magnetism; Pnictides; CIENCIAS EXATAS E DA TERRA::FISICA

We study the low-energy properties of a two-band model by means of the eld-theoretical renormalization group (RG) up to two loops in order to describe some iron-based pnictide superconductors. Initially, we reproduce some known results of the RG up to one loop to show how one should proceed with the eld-theoretical RG. We then calculate the self-energy of the model and the irreducible four-point vertex functions ��(4) up to two loops. We derive the RG equations for the couplings and the quasiparticle weight of the model at this order of approximation. Following a similar procedure, we show how to determine the possible instabilities of the ground state of the model and the nature of the low-energy elementary excitations by calculating the RG ow equations up to two loops for the extended s-wave (s ) and conventional s-wave (s++) superconducting susceptibilities, charge and spin density wave susceptibilities and also the uniform charge and spin susceptibilities. The numerical analysis of these equations reveals that the couplings of the two-band model are divergent in the low-energy limit, but their ratio ows to a xed point. We obtain, by means of this analysis, that the antiferromagnetic instability is the dominant one, whereas the superconducting instability is the second most important instability. We show that the superconducting instability of s -type exceeds the s++-type when the Umklapp interaction is present and may overcome the antiferromagnetic instability for some doping value in the system. The numerical solution for the quasiparticle weight reveals that this quantity is always close to its initial value during the renormalization procedure of the model, while the uniform charge and spin susceptibilities remain nite for the energy scales where the RG approach up to two loops is valid. These results are consistent with the interpretation that the normal state of that model is, in fact, described by Landau's Fermi liquid theory with well-de ned quasiparticle excitations in the low-energy limit.