Effective Resonators for THz Quantum Waves of Electron States (QWES)

We present here a farther development of the ideas of 2D solid-state graphene metamaterial electron optics (GMEO) and a general method to graphene-based metamaterials that includes three levels of a consideration. This method includes a metamaterial approach to the QWES, or the electron probability waves, in 2D electron gas where a finite effective electron mass is allowed; a good example of this can be the electron graphene resonators and diffraction gratings. The characteristics of the transport of QWES are determined accounting for proper boundary conditions for the system like "Graphene with Zero Electron Mass-Finite Electron Mass Material-Graphene with Zero Electron Mass" (GZEM-FEMM-GZEM). Effects on electron transport from electric and magnetic fields, exchange and spin-orbit interactions are accounted for. Possibility of formation of the controllable high-Q 2D magnetoelectric resonators and diffraction gratings for the QWES on the structure GZEM-FEMM-GZEM is shown.