Binding energy of 2p-bound state of a hydrogenic donor impurity in a GaAs/Ga1−xAlxAs

Calculation of Intradonor Normalized Transition Energy in Spherical Quantum Dots Made of Different Materials

“…Hamiltonian for a single electron system, with a hydrogenic impurity, in a spherical quantum dot in the effective mass approximation and spherical coordinates, given by [41,47]…”

“…The conduction band offset parameters are taken as Q c ¼ 0.6 for QD1 and QD2, Q c ¼ 0.5 for QD3, and Q c ¼ 0.3 for QD4 and x = 0.35 is fixed for four different structures. [20,[49][50][51][52][53] In the presence of impurities, the trial wave functions for the ground (1sðl ¼ 0)) and excited state(1pðl ¼ 1Þ) of the SQD system, respectively, are given by [14,41,47]…”

“…where E sub 1s and E sub 1p are the 1s-ground state and 1p-excites state subband energies, and these energies are found from the ground and excited state transcendental equations, respectively. [41,47] Energies are given as follows for 1s and 1p impurity states [13]…”

“…[39,40] In the literature, there are many studies on binding energy and transition energy calculations for different structures. [12,[41][42][43] One of the most important reasons for calculating the binding energy and transition energy is that it is of great importance in determining the optical properties of the system. Çakır et al [44] have calculated the variation of the difference between the energy levels of the QD1 with impurity as a function of dot radius.…”

Effect of hydrostatic pressure and polaronic mass of the binding energy in a spherical quantum dot

“…In the last few decades, the properties of low-dimensional semiconductor systems (LDSS) [1,2] have drawn great interest amidst the theoretical and applied physicists due to the quantum confinement. [3] The ample of nano fabrication techniques such as molecular beam epitaxy (MBE), [4] metal organic chemical vapor deposition (MOCVD), [5] and self-assembled method have been developed to synthesize the different sizes and shapes of semiconductor quantum dots (QD's), [6,7] quantum wires, [8] and quantum well [9] due to their significant applications in distinct fields. Among these, quasi-zerodimensional systems (QD) became a hot topic, since the carrier motion is restricted to a narrow region of a few nanometers in dimension and its effects of hydrostatic pressure on QD were studied by many researchers.…”