Graphene Quantum Wells and Superlattices Driven by Periodic Linear Potential

The transfer matrices for both nonsingular and singular cases are constructed to ensure efficient and accurate numerical computation on the electronic and transport properties of graphene quantum wells and superlattices driven by periodic linear potential.An intuitive interpretation is given for the evolution behavior of the current flowing through the multiple graphene quantum wells/barriers by analyzing the interrelationship among the transmission,bias voltage,incident velocity,and linear potential ranges.The energy minibands and density of states of the graphene superlattices with different periods are also examined by using analytical and numerical methods,showing that the period of superlattices plays a crucial role in energy bands and density of states.