Electric- and magnetic-field-tuned Landau levels and Hall conductivity in AA-stacked bilayer graphene

We theoretically study the combined effect of magnetic and electric fields on the Landau levels and Hall conductivity in AA-stacked bilayer graphene. From the analytic expressions derived, we obtain explicit criterions for determining the zero-energy Landau level and different level crossings in the graphene bilayer. For providing a scheme of experimental verification, we further explore the quantum Hall effect in such a biased bilayer. It is found that the zero-conductance Hall plateau in this system can vanish at certain specific combinations of magnetic and electric fields, accompanying with the occurrence of resonance Hall conductivity steps. -- Highlights: → We study Landau levels and Hall conductivity in a biased AA-bilayer graphene. → Criterions for determining zero Landau level and level crossings are derived. → The Hall conductivities are dependent on the combined values of the applied fields. → Zero-conductance Hall plateaus can vanish at the specific combinations of the fields. → Some resonance Hall conductivity steps can also occur.