Jp. Peng et al., PROPERTIES OF ABOVE-BARRIER ELECTRONIC STATES IN MULTIBARRIER STRUCTURES, Communications in Theoretical Physics, 24(4), 1995, pp. 397-402
In the present work we report the detailed study of the above-barrier
electronic states in the multi-barrier structures by using the transfe
r matrix technique. The energy levels and the corresponding wavefuncti
ons are calculated by solving the Schrodinger equation directly Analyt
ical analysis is presented confirming the formation of subband structu
re, similar to that determined by Kronig-Penney model. Each subband co
ntains N energy states with N being the number of periods in the struc
ture. Furthermore, our calculations demonstrate that in each subband t
here is one energy state whose wavefunction is always localized in the
barrier regions, while others remain partly localized in general. The
se localized states satisfy the constructive condition k(b)b = n pi co
nsistence with experiments, where kb is the wave vector in the barrier
region, b is the barrier width, and n is an integer.