Impurity Binding Energy in Polar Quantum Dot with Finite Potential Barriers

Abstract

Subject classification: 63.20.Mt; 73.21.La; S8.12 The impurity binding energy in the absence and in the presence of confined LO-phonon interaction in a cubic quantum dot for several values of the mass ratio l and for several heights of the barrier has been calculated using a variational approach. The quantum confinement is described by a finite potential well. The charge carrier (electron and ion)-phonon coupling is treated within the adiabatic approximation. The results show that this effect increases, reaches a peak value and then decreases as the dot size increases and depends strongly on the impurity position. The confined LO-phonon effect decreases by displacing the impurity from the center to the dot boundary.

Binding energy of a hydrogenic donor impurity in a rectangular parallelepiped-shaped quantum dot: Quantum confinement and Stark effects

“…16 Within a finite potential well model, the impurity binding energy in the absence and in the presence of confined LO-phonon interaction in a cubic QD were calculated by Amrani et al using a variational approach. 17 Assaid et al studied theoretically the quantum size, impurity position, and electric field on the energy of a shallow donor placed anywhere in a GaAs spherical QD in a uniform electric field. 18 The polarizability was estimated by Messaoudi et al for a shallow donor confined to move in a QD with a uniform magnetic field using the Hass variational method in the case of an infinite and a finite barrier potential.…”

Electronic and Shallow Impurity States in Semiconductor Heterostructures Under an Applied Electric Field

“…Their results show that, the impurity binding energy decreases continuously with the increasing radius of quantum dots. Amrani et al [16] calculated the impurity binding energies in rectangular quantum dots with finite potential barriers, considering the interaction of electron with the confined longitudinal optical phonon modes. Their results show that the impurity binding energy increases at first, to a peak value, and then decreases as the quantum dot size increases.…”