Guided modes in a double-well asymmetric potential of a graphene waveguide

The analogy between the electron wave nature in graphene electronics and the electromagnetic waves in dielectrics has suggested a series of optical-like phenomena have drawn considerable attentions. One of them is the graphene-based electron waveguides, which will be useful for various graphene-based devices, such as electronic fiber. The guided modes for an asymmetric double-well potential is investigated using a modified transfer matrix method. It is found that there are two types of guided modes. The first guided mode appears in one well, which is similar to the asymmetric quantum well graphene waveguide. The second guide mode can appear in two potential wells with double-degeneracy. Characteristics of all the possible guide modes are presented. The results of guided modes in graphene waveguide may be helpful for the practical application of various graphene-based quantum electronic devices.