Binding and transition energies of shallow impurities in cylindrical GaAs quantum-well wires under a uniform magnetic field

Abstract

We report a calculation of the binding and transition energies of the ground and some excited states of a hydrogenic donor impurity located at the axis of a cylindrical GaAs quantum-well wire, under the action of a magnetic field applied in the axial direction. Calculations are made using the effective-mass approximation within the variational approach for infinite confinement potential. Our results are obtained for several wire radii and as a function of the applied magnetic field. We have found that some excited states are not bounded for some values of the radius of the wire and of the applied magnetic field. We show how the geometric confinement and the applied magnetic field split the degeneracy of some excited states. Also, we compare our results with those found in GaAs-(Ga, Al)As quantum wells.

Binding energy and photoionization cross-section in GaAs quantum well-wires and quantum dots: magnetic field and hydrostatic pressure effects

“…(1) should be replaced by the z and ρ dependent potential V (ρ, z, P). Our calculations for the QWW case (with radius R) includes both the infinite and finite potential model, in which case the variational wave functions are respectively given by [4,5] …”

“…In the last two decades many works related with the magnetic fields effects on the properties of the electron-impurity systems have been reported in GaAs − Ga 1−x Al x As quantumwell wires (QWWs) and quantum dots (QDs) [4][5][6]. The effects of hydrostatic pressure on such systems, and in particular on the photoionization (PI) cross-section, show that the PI depends strongly on the symmetry of the potential that confines the carriers, of the energy of the incident photon, and of the impurity distribution inside the heterostructure [7].…”

Binding energy of hydrogenic impurity states in an inverse parabolic quantum well under static external fields

“…In addition, their influence can be controlled by the presence of external fields. Several articles have been published on the influence of external static (electric and magnetic) fields on hydrogenic impurities [10][11][12][13][17][18][19][29][30][31][32][33][34][35].…”

Binding Energy of a Bound Polaron in a Quantum Well Wire

“…Extensive theoretical and experimental work have been devoted to the study of the optical and electronic properties presented by these nanostructures because of their possible application in optoelectronic device [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”