The non-adiabatic hyperspherical approach to the two-dimensional D- ion in the presence of a magnetic field

Abstract

We have used the adiabatic hyperspherical approach to determine the energies and wavefunctions of the ground state and first excited states of a two-dimensional D- ion in the presence of a magnetic field. Using a modified hyperspherical angular variable, potential energy curves are analytically obtained, allowing an accurate determination of the energy levels of this system. Upper and lower bounds for the ground-state energy have been determined by a non-adiabatic procedure, as the purpose is to improve the accuracy of method. The results are shown to be comparable to the best variational calculations reported in the literature.

Dynamic polarizability of two-dimensionalD−ions in the presence of magnetic fields

“…Over the last two decades, D − centers have been the subject of experimental 1-3 and theoretical works. [4][5][6][7][8][9][10][11][12][13] Identified by experimental magneto-optical spectra of selectively doped GaAs/ GaAlAs quantum wells in 1990, by Huant et al, 1 a two-dimensional ͑2D͒ D − ion is formed when a neutral shallow donor, located in a quantum well, binds an extra electron. Despite possessing a larger binding energy than the three-dimensional equivalent ͑bulk semiconductors͒, the 2D D − ion has only one bound state, with significant influence from the electronic correlation.…”

“…The difference from the uncoupled approximation is only 0.007 Ry, indicating the quality of the adiabatic approach. 12 The effects of two incident photons with polarization vectors ⑀ and frequencies can be calculated by a second-order perturbative matrix element of the transition between an initial state ͉i͘ and a final state ͉f͘, as…”