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

作者:Khmelnytskaya Kira V*; Rosu Haret C
来源:Journal of Physics A-Mathematical and Theoretical, 2009, 42(4): 042004.
DOI:10.1088/1751-8113/42/4/042004

摘要

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 these 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.

  • 出版日期2009-1-30

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