Resonant Linear and Nonlinear Properties of Graphene and Silicene in Terahertz Range

The resonant linear and nonlinear properties in terahertz range of 2D materials graphene and silicene placed into an external magnetic field are investigated theoretically. The linear resonant dependencies of the tensor complex conductivity are computed from the kinetic theory. When the electromagnetic frequency is close to the cyclotron one, the conductivity increases sharply.The dependencies of the tensor conductivity on frequency coincide with ones obtained from the hydrodynamic theory under realistic electron concentrations and collision frequencies. The same is valid for the nonlinear dependencies of the densities of electric current on the applied terahertz electric field. Thus, the nonlinear hydrodynamic equations are valid to describe the nonlinear resonant electromagnetic wave propagation in the multilayer structures dielectric - graphene or silicene.