Resonant Tunneling and Band Mixing in Multichannel Superlattices

Compact and closed expressions for the evaluation of n-cell transmission amplitudes, in superlattices with N open channels, are written in terms of the single-cell transmission amplitudes and a set of noncommutative polynomials, which, in the one-channel case, reduce to the Chebyshev polynomials. Interesting and nontrivial features, due to channel mixing and multiple interference phenomena occurring along the n-cell system, emerge when applying to specific potential profiles.