An amplitude-phase (Ermakov–Lewis) approach for the Jackiw–Pi model of bilayer graphene
HARET CODRATIAN ROSU
Summary or description
"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."
Kira V Khmelnytskaya and Haret C Rosu. 2009 J. Phys. A: Math. Theor. 42 042004 https://doi.org/10.1088/1751-8113/42/4/042004