N重方势垒结构共振隧道效应研究

本文从理论上研究了N重方势垒结构的共振隧道效应,推导出透射系数及共振隧道条件的解析表达式,结果发现,由于多势垒结构(n≥3)量子阱间的耦合,共振能级不同于量子阱的本征值。此外,由透射系数表示式证实了多势垒结构电子透射谱在共振能级附近为Lorentzian型。所得结果对于分析透射系数随能量的变化关系,估计共振能级以及制造共振隧道器件都具有十分重要的意义。 关键词：

THEORETICAL STUDIES ON RESONANT TUNNELING IN MULTI-BARRIER STRUCTURES

Resonant tunneling in rectangular multi-barrier structures are studied theoretically. Analytical expressions of the transmission coefficient and the resonance condition are strictly derived. It is found that the resonance energies are different from the eigenvalues in the quantum well due to coupling between wells in the multi-barrier structures. The resonance condition corresponds to the energy range of the physically possible wave functions in the Kronig-Penney model. It is confirmed that the transmission spectrum is a Lorentzian nearby energies of resonance. We believe that the expression are useful for evaluating the energy variations of transmission coefficient and estimating the resonance energy, and also useful in fabrication of resonant tunneling devices.