Abstract
The spatial dependence of the wave functions for electrons in a parabolic quantum well with double barriers has been calculated by using a transfer-matrix approach and compared with that of a rectangular quantum well. The phonon assisted tunneling currents are studied theoretically based on a dielectric continuum model. Only confined LO phonons are considered due to the destroyed interface character. It is found that the results are helpful in observing the current peaks for phonon assisted tunneling as expected. It indicates that the confined LO-phonon peaks are higher than that for rectangular wells. The influence on the current peaks of tunneling from phonons in the emitter barrier is more obvious for a parabolic well with a wider width.
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