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Abstract: We obtain analytical expressions for the eigenstates and the Landau levelspectrum of biased graphene bilayers in a magnetic field. The calculations areperformed in the context of a four-band continuum model and generalize previousapproximate results. Solutions are presented for the spectrum as a function ofinterlayer coupling, the potential difference between the layers and themagnetic field. The explicit expressions allow us to calculate the oscillatorstrength and the selection rules for electric dipole transitions between theLandau states. Some transitions are significantly shifted in energy relative tothose in an unbiased bialyer and exhibit a very different magnetic fielddependence.



Autor: J. Milton Pereira Jr., F. M. Peeters, P. Vasilopoulos

Fuente: https://arxiv.org/



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