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The electronic spectrum of three coupled graphene layers (graphene trilayers)is investigated in the presence of an external magnetic field. We obtainanalytical expressions for the Landau level spectrum for both the ABA and ABC -type of stacking, which exhibit very different dependence on the magneticfield. The effect of layer asymmetry and of external gate voltages can stronglyinfluence the properties of the system.

Landau levels in asymmetric graphene trilayers