Effect of a parabolic potential on the impurity binding energy in spherical quantum dots

Binding Energy of a Bound Polaron in a Quantum Well Wire

“…This behavior is due to the wave function, which vanishes at the boundaries, and thus its contribution to the binding energy of a QWW with an off-center impurity is smaller than a QWW with an on-center impurity. These results are consistent to that obtained by Montenegro [17] in cylindrical quantum well wire and Bose [16] in spherical quantum dot in the absence of phonons. Figure 4 shows the polaronic correction plotted versus the impurity position for different wire radii (R = 0.8a*, R = la* and R = 1.5a*).…”

“…Since the pioneer work realized by Bastard [1] of the hydrogenic impurity binding energy in quantum well, extensive investigation has been reported as a function of different parameters such as the spatial confinement, the impurity position and the applied external field (electric and magnetic field) [16][17][18][19][20][21][22].…”

Effect of conduction band nonparabolicity on Aharonov-Bohm oscillations in n-type InAs/GaAs quantum ring

“…The theory of electronic states of a hydrogenic donor impurity in the semiconductor bulk developed earlier in framework the Effective Mass Approximation (EMA) gives an excellent accordance with the experimental results [1]. Later, oneband EMA theory has been widely used for calculating the electronic states of a hydrogenic donor impurity in quantum wells [2][3][4], quantum well wires [5][6] and quantum dots [7][8][9]. In this paper, we analyse the applicability of one-band EMA for hydrogenic impurity placed at self-assembled quantum dots and quantum rings (QRs), where the excessive electron released from the donor to the conduction band is strongly confined within a narrow region and therefore can has a large kinetic energy.…”

Diamagnetic susceptibility of a hydrogenic donor in a quantum dot

“…[6,7] and the choice of the oscillator frequency in the confining potential as mentioned in [10]. For finite barrier model χ dia shows a peak at about R ≈ 4 nm which is characteristic to the quantum structure with finite potential barrier [11].…”

“…Chayanika Bose [6][7][8] has computed the binding energy of shallow hydrogenic impurities in Spherical Quantum Dot (SQD) with parabolic confinement. The effect of electric field on the binding energy of a donor impurity in a SQD with parabolic confinement has been studied by Murillo et al [9] and the effect of electric field and hydrostatic pressure on donor binding in a SQD has been investigated by Gerardin Jayam et al [10].…”