The effect of magnetic field on the ground and excited states of the two-dimensionalD^-centre

Abstract

The ground and excited state energies of the two-dimensional D − centre have been calculated, respectively, as a function of magnetic field. The critical magnetic field values at which the excited states change from unbound to bound have been found. The optical transition between two bound states is discussed. Numerical results with the hyperspherical approach are in good agreement with those obtained through other intensive numerical methods and those obtained through experiments.

The bound states of D−centres in a quantum well in the presence of an applied high magnetic field

“…When the fifth state appears, the value of the critical magnetic field γ c in which the D − centre states would convert from unbound to bound is 185.4. For the M = −3 state γ c is 36.4, which is obviously lower than that of 10 5.8 in [11] in 2D. When the width of the QW increases to 20 Å, seven bound states have appeared and the values of their critical field are not larger than 90.2.…”

A Negative Donor Center Trapped by a Spherical Quantum Dot

“…We know that, in the presence of magnetic field, the D − centers in QDs have more than one bound states. [21,25,28,29] In conclusion, we have applied the spherical parabolic confining potential to a description of the D − centers in semiconductor QDs. We have calculated the energy levels of L = 0 (S states) for the even parity and L = 1 (P states) for the odd parity as functions of the confined potential radius.…”

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

“…In this section we analyse the effect on the ground-state energy of the inclusion of non-adiabatic couplings. The adiabatic approximation procedure produces potential curves related to each set of quantum numbers of the angular equation, µ = (m 1 , m 2 , ν), as given in equation (36). When the non-adiabatic couplings of the radial equation are disregarded, each of these potential curves has associated eigenstates, which are independent of the eigen-solutions obtained from other potential curves.…”

“…The determination of the radial solutions is very fast from the numerical point of view, and does not compromise the accuracy of the results, as observed on comparison with the variational calculation involving a large number of adjustable parameters. The adiabatic procedure with the direct solution of the coupled HS differential equations is also efficient when compared with the diagonalization process, where a large numerical effort is necessary to obtain qualitative numerical results, as shown in [36].…”