Teorema do índice em superfícies curvas de grafeno e fases de Berry

• Ano de defesa: 2010
• Autor(a) principal: Lopes, Mirleide Dantas
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraí­ba; BR; Física; Programa de Pós-Graduação em Física; UFPB
• Palavras-chave em Português: Grafeno; Teorema do índice; Topologia e fases de Berry; Graphene; Index theorem; Topology and Berry s phase; CIENCIAS EXATAS E DA TERRA::FISICA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/5781

The graphene consists of a two-dimensional hexagonal structure formed only by carbon atoms. It is a peculiar molecule, because in low energy its Hamiltonian can be described by the Dirac operator and this gives it some unusual characteristics. In this work the index theorem will be applied to graphene. This allows to estimates the number of zero modes of geometric variants of graphene by means of topological features of these molecules. Finally, it is observed that the index of the Hamiltonian of this system can be described in terms of Berry phases. And so, it is investigated the possibility of doing holonomic quantum computation using the topology of such molecules.