Cones de Dirac anisotrópicos em um modelo efetivo para materiais de Dirac bidimensionais

Abstract

The analysis of the band structure of certain two-dimensional materials reveals a dispersion relation in which the conduction and valence bands intersect at Dirac points. At these points, cone-like structures emerge, characterized by a linear dispersion relation, and materials exhibiting this property are referred to as Dirac materials. Near by the dirac Points, electrons effectively behave as massless Dirac fermions, characterized by relativistic dynamics. In this work, we propose a modification of the Dirac equation through terms that allow modeling anisotropic effects in two-dimensional Dirac materials. The purpose of this modification is to investigate the effects of anisotropies on the Dirac cones and the implications for the electronic properties of these materials.