Ca. Duque et al., EFFECTS OF APPLIED ELECTRIC-FIELDS ON THE INFRARED TRANSITIONS BETWEEN HYDROGENIC STATES IN GAAS LOW-DIMENSIONAL SYSTEMS, Physical review. B, Condensed matter, 55(16), 1997, pp. 10721-10728
Using a variational procedure within the effective-mass approximation
we calculate the binding and transition energies of shallow-donor impu
rities in cylindrical pills of GaAs low-dimensional systems, under the
action of an electric field applied in the axial direction, and consi
dering an infinite confinement potential. We calculate the binding and
transition energies as a function of the system geometry, the applied
electric field, and the donor-impurity position. We have found that t
he presence of the electric field breaks the axial symmetry for the bi
nding energy of the ground and excited states of the impurity and toge
ther with the impurity position, the geometric confinement is determin
ant for the existence of bounded excited states in these structures. I
n the two-dimensional limit and with low electric fields we obtained t
he expected four effective Rydbergs for the binding energy of the Is-l
ike state. In addition, and only for high electric fields, we obtained
the reverse transitions 2p(z)-like-->3s-like and 3p(z)-like-->2s-like
.