An amplitude-phase (Ermakov-Lewis) approach for the Jackiw-Pi model of bilayer graphene

Details An amplitude-phase (Ermakov-Lewis) approach for the Jackiw-Pi model of bilayer graphene An amplitude-phase (Ermakov-Lewis) approach for the Jackiw-Pi model of bilayer graphene

2008-12-20

arxiv.org/abs/0812.3929v1

J. Phys. A 42 (2009) 042004

Physics

Condensed Matter

Materials Science

FTC, 11 pp, 5 figures

Scientific paper

10.1088/1751-8113/42/4/042004

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 potential 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

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