Influência de um pseudo campo magnético variando espacialmente em um gás de elétrons bidimensional no grafeno.

Abstract

This work is devoted to the study of eletronic transport in low-dimensional quantum systems. We studied the graphene which is a material formed by a single layer of carbon atoms in hybridization state sp2, and shows a structure in the form of hexagons, also called \Honeycomb lattice" . The charge carriers in graphene behave as massless relativistc particles, obeying the Dirac Hamiltonian. However, the light velocity is replaced by Fermi velocity (vf 106m=s). In this context, we introduce the pseudomagnetic eld at Dirac equation, where this eld is generated by mechanic strain, which changes the length of the bonds between atoms and a ects the way electrons move in relation to others. We investigated the in uence of a spatially varying pseudo magnetic eld in a 2D electron gas in graphene, analyzing how this eld modi es the relativistic Landau levels and what is its in uence on the Quantum Hall E ect in the whole graphene.