Zigzag Graphene Nanoribbons and Confluent Supersymmetry

Abstract

Abstract We studied the behavior of charge carriers in graphene nanoribbons with zigzag edges. We start from free nanoribbons, and by using second-order confluent supersymmetry, we added external magnetic fields perpendicular to the graphene layer. The technique allows us to obtain explicit expressions for the solution of the Dirac equation and gives the transcendental equations that must be solved to obtain the energy spectrum.