Role of the evanescent states in the electron transport in quantum waveguides

Recognizing the computational difficulty due to the exponential behavior of the evanescent states in the calculations of the electron transmission in waveguide structures, the authors propose two transfer matrix methods and apply them to investigate the influence of the evanescent states on the electron wave propagation. The study shows that the effect of the evanescent states on the electron transport is obvious when the electron energy is close to the subband minima. The results show that the calculated transmissions are much enhanced if the evanescent states are omitted in the calculations. For the multiple-stub structures, it is found that the connecting channel length has a critical effect on the electron transmission depending on it larger or smaller than the attenuation lengths of evanescent states. Based on the study of the evanescent states, a new kind of waveguide structures which exhibit quantum modulated transistor action is proposed. (C) 1997 American Institute of Physics.