Rotation effects on the graphene wormhole energy levels

Abstract

In this work, we are interested in how spinning effects influence the electronic properties of the graphene wormhole. For this purpose, we have described the graphene by wormhole background based on the model developed by González and his co-workers. By applying a coordinate transformation in the metric of the graphene wormhole, we can introduce rotating effects. In the continuum limit, by solving the massless Dirac equation in the context of a rotating wormhole background, we obtain the Landau levels for the rotating graphene wormhole. We still have exposed the analogy between the graphene wormhole and fermions on the Gödel-type spacetime.