Please use this identifier to cite or link to this item: https://repositorio.ufrn.br/jspui/handle/123456789/27250
Title: An effective model for strongly correlated electrons
Authors: Xavier, Hernán Guillermo Bueno
Keywords: Elétrons fortemente correlacionados;Modelo t-J;Cupratos de alta-Tc;Teoria de campos efetiva
Issue Date: 28-Feb-2019
Citation: XAVIER, Hernán Guillermo Bueno. An effective model for strongly correlated electrons. 2019. 74f. Dissertação (Mestrado em Física) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2019.
Portuguese Abstract: In this work we examine an alternative effective formulation for the t-J model which is believed to capture the essential physics behind the underdoped regime of the highTc cuprates. After recasting the original problem into this representation, we check the consistency of the procedure and discuss some physical consequences of such a representation, including, the crossover between the regimes of small and large Fermi surfaces which is observed experimentally. We then explore the possiblity of constructing a path integral representation of the partition function of the the t-J model by departing from the formulation presented. Finally, we use the latter formalism to derive a continuum effective field theory in (2 + 1) spacetime dimensions which features small hole-like pockets near the nodal regions of the Brillouin zone along with an unconventional mechanism for superconductivity.
Abstract: Neste trabalho examinamos uma formula¸c˜ao efetiva para o modelo t-J, o qual se acredita capturar a f´ısica por tr´as do regime de baixa dopagem dos cupratos de alta-Tc. Depois de reformular o problema original nesta representa¸c˜ao, verificamos a consistˆencia do procedimento e discutimos algumas consequˆencias f´ısicas dessa representa¸c˜ao, incluindo, a transi¸c˜ao entre os regimes de pequena e grande superf´ıcies de Fermi que observada experimentalmente. Em seguida, exploramos a possibilidade de construir uma representa¸c˜ao por integrais de caminho para a fun¸c˜ao de parti¸c˜ao do modelo t-J partindo da formula¸c˜ao apresentada. Finalmente, fazendo uso desse formalismo derivamos uma teoria de campos cont´ınua em (2 + 1) dimens˜oes de espa¸co-tempo que exibe pequenos pockets do tipo buraco pr´oximos `as regi˜oes nodais da zona de Brillouin em conjunto com um mecanismo n˜ao convencional para supercondutividade.
URI: https://repositorio.ufrn.br/jspui/handle/123456789/27250
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