The interaction of electron waves with (001) heteroboundaries in GaAs/AlAs systems is considered using the scattering matrix and pseudopotential methods. The different transmision channels of electrons through one boundary and a two-barrier structure are analyzed. It is shown that the matching matrix contains a 3×3 block of strongly interacting Γ1, X1, and X3 states. Hence a three-trough model is proposed to describe resonant tunneling processes in the corresponding structures. The matching conditions for the wave packets are analyzed. The applicability of the often-used one-through approximation of the effective mass method is analyzed. The effect of mixing of Γ and X state on the transmission coefficient is shown to be important.
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Karavaev, G.F., Grinyaev, S.N. & Chernyshov, V.N. Quantum processes of propagation of electron waves in layered structures. Russ Phys J 35, 830–840 (1992). https://doi.org/10.1007/BF00560056
- Layered Structure
- Wave Packet
- Effective Mass
- Transmission Coefficient
- Matching Condition