Modelo de tight-binding para as redes de Arquimedes 2D

Abstract

Since the experimental discovery of graphene in 2004 by Novoselov and Geim, the search for new two-dimensional (2D) materials has intensified due to their technological potential. The geometry and type of hybridization of these materials are determining factors for their electronic properties, especially in the resulting band structure. This undergraduate dissertation aims to investigate the electronic properties of Archimedean lattices, a class of periodic and uniform 2D materials consisting of regular polygons arranged in specific tiling arrangements. The methodology employed is based on the tight-binding model to calculate the electronic band structures of the eleven (11) 2D Archimedean lattices. Our analysis aims to evaluate the degeneracy of the electronic bands and identify the possible emergence of type I and II Dirac fermions in the energy bands of the various structural configurations.