▎ 摘　　要

The electronic and transport properties of Dirac fermions in zigzag graphene nanoribbon (ZGNR) under the influence of a finite electrostatic potential are investigated. The Green's function method is employed to formulate the problem. It is used to compute the transmission coefficient, charge density distribution, and the local density of states (LDOS) in ZGNR in a finite potential well. It is found that the edge states in ZGNR are strongly dependent on the number of atoms (N), width of the ribbon (M*a) and the strength of the potential well. These edge states have exciting effects on the transmission coefficient through the potential well. Moreover, it is also observed that the LDOS and transmission behaviour depend strongly on the number of configurations in the system under consideration.