Effect of magnetic field on the binding energy of a hydrogenic donor in a |z|^2/3quantum well

Abstract

We have calculated the binding energy of a hydrogenic donor in a quantum well with potential shape proportional to I z as a function of the width of the quantum well and the barrier height under an applied uniform magnetic field along the z axis. As the well width decreases, the binding energy increases initially up to a critical well width (which is nearly the same for all magnetic fields) at which there is a turnover. The results are qualitatively similar to those of a hydrogenic donor in a rectangular well. We have also calculated (p')'/' and (z')'/'for the donor electron.(p')'/' is found to be strongly dependent on the magnetic field for a given well width and weakly dependent on the well width and the barrier height, for a given value of magnetic field. (z')'~' is weakly dependent on the applied magnetic field. The probability of finding the donor electron inside the well shows a rapid decrease as the well width is reduced at nearly the well width at which the binding energy shows a maximum.

Polarizability of Exciton in Surface Quantum Well

“…The barrier height V oe or the conduction band discontinuity is taken to be 0.65∆E g , hence the potential well height of the valence band V oh is 0.35∆E g . 25 We have taken x = 0.3 for all calculations in the present work. Note: m 0 is the free electron mass Figures 2 and 3 display the variation of binding energy of lh and hh exciton as a function of well width for different electric fields.…”

Electron States in a Rectangular Quantum Well with Tilted Magnetic Field

“…Experimental advances like molecular beam epitaxy and metal organic chemical vapor deposition have made possible studies on semiconductor quantum wells. There have been a number of reports on the electron energy levels and other electronic properties in GaAs/Al x Ga 1-x As quantum wells with [1][2][3][4][5] and without [6^9] a magnetic ¢eld applied along the growth axis. Quantum wells with tilted magnetic ¢eld are of interest [l0^18] because of the coupling of the cyclotron frequency with the characteristic frequencies of transition between the electronic states in the well resulting in coupled frequencies.…”