N. Mingo et al., DOPING-PROFILE EFFECTS ON THE TUNNELING TIMES OF ELECTRONS CONFINED IN DOUBLE-BARRIER HETEROSTRUCTURES, Physical review. B, Condensed matter, 50(16), 1994, pp. 11884-11894
We study and compare the behavior of the left- and right-tunneling tim
es of electrons quasiconfined in asymmetric double-barrier structures
as a function of the bias for two different doping configurations in t
he electrodes: uniform doping and gradual doping. The potential experi
enced by the electrons is calculated self-consistently for each case b
y simultaneously solving the Schrodinger and Poisson equations. Afterw
ards, the stabilization method is employed to calculate the correspond
ing tunneling times. The case of gradual doping is especially interest
ing because an accumulation layer appears when the voltage is high eno
ugh. To analyze the stabilization graphs in the range of voltages wher
e the two-dimensional quasiconfined level in the emitter interacts wit
h the quantum-well level we have introduced a three-level model. We pr
esent a comparison of the tunneling times calculated for the two dopin
g profiles with the ones obtained with a model potential. Finally, cha
rge-accumulation effects are analyzed in the gradually doped case and
critically discussed within the framework of available experimental da
ta.