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In this work, based on a two-band k⋅P theory formulation, the transmission properties of polytype interband tunneling heterostructures are analyzed. The expressions for the continuity equation and the conservation of particle in the two-band picture of the interband tunneling are rigorously derived. A general and explicit relation between the quasibound state and the transmission resonance is established. Close-form analytical expressions for the transmission coefficient and the resonant condition are also derived. Our analysis provides reasonable explanations to all available experimental results in the polytype interband tunnel heterostructures, and insight to the design of the interband tunnel devices. In particular, the double quantum well structure is examined in detail for achieving strong resonances and multiple negative differential resistances.
Yang et al. (1992) studied this question.