Exploring multiband tunneling for uncoupled particles: A polynomial view

Abstract

A new approach based on a polynomial-scattering formalism was developed and exercised for n-cell multi-channel layered heterostructures. The model reproduces the majority of considered experimental measurements, better than prior theoretical results. Closed analytical formulae of scattering quantities for uncoupled particles of multiband-multicomponent systems have been derived; furthermore, long-standing numerical difficulties of the transfer matrix scheme were overcome. We predict the earlier arrival of uncoupled holes and several patterns followed by the transmission rate, the two-probe Landauer total conductance, and the phase time. Anomalous events such as the Ramsauer-Townsend oscillations and the paradoxical Hartman effect of pure holes are confirmed in detail; besides, we predict other appealing structural-dependent features to be tuned as well. For such quasi-particles, we do not find evidence of the generalized Hartman effect. The relevant phase tunneling time limit of bandmixing-free holes when n→∞ has been resolved analytically as well as simulated, and it turns qualitatively comparable with that measured for photons. At the request of the authors, this article is being retracted effective 17 November 2021.