An amplitude-phase (Ermakov-Lewis) approach for the Jackiw-Pi model of bilayer graphene
Rosu Barbus, Haret-Codratian
In the context of bilayer graphene we use the simple gauge model of Jackiw and Pi to construct its numerical solutions in powers of the bias poten-tial V according to a general scheme due to Kravchenko. Next, using this numerical solutions, we develop the Ermakov-Lewis approach for the same model. This leads us to numerical calculations of the Lewis-Riesenfeld phases that could be of forthcoming experimental interest for bilayer graphene. We also present a generalization of the Ioﬀe-Korsch nonlinear Darboux transformation.