There is a limit for the superlattice tunneling time of holes

The relevant phase tunneling time limit of bandmixing-free holes, when the number of layer approaches to infinity, have been figured it out both analytically and numerically. We have demonstrated the existence of this elusive limit, by means of a breakthrough modelling of scattering quantities for multiband-multicomponent systems, \emph{via} a closed analytical scheme. As a bonus, it reproduces experimental measurements of the miniband spectrum, better than prior theoretical results and avoiding its explicit quotation. We predict the earlier arrival of uncoupled holes and several other patterns followed by their transmission rate, the two-probe Landauer total conductance and the phase time. Anomalous events such as the Ramsauer-Towsend oscillations and the paradoxical Hartman effect of pure holes are detailed confirmed, besides we predict other appealing structural-dependent features to be tuned as well. The present exact model of relevant scattering quantities, is valid within the symplectic universality class.