Optoelectronic Properties of a Cylindrical Core/Shell Nanowire: Effect of Quantum Confinement and Magnetic Field

This study investigates the effect of quantum size and an external magnetic field on the optoelectronic properties of a cylindrical AlxGa1-xAs/GaAs-based core/shell nanowire. We used the one-band effective mass model to describe the Hamiltonian of an interacting electron-donor impurity system and employed two numerical methods to calculate the ground state energies: the variational and finite element methods. With the finite confinement barrier at the interface between the core and the shell, the cylindrical symmetry of the system revealed proper transcendental equations, leading to the concept of the threshold core radius. Our results show that the optoelectronic properties of the structure strongly depend on core/shell sizes and the strength of the external magnetic field. We found that the maximum probability of finding the electron occurs in either the core or the shell region, depending on the value of the threshold core radius. This threshold radius separates two regions where physical behaviors undergo changes and the applied magnetic field acts as an additional confinement.

Automated summary

This study investigates the impact of quantum size and an external magnetic field on the optoelectronic properties of a cylindrical AlxGa1-xAs/GaAs-based core/shell nanowire. The Hamiltonian of an interacting electron-donor impurity system was described using the one-band effective mass model and two numerical methods were employed to calculate the ground state energies: the variational and finite element methods. The system's cylindrical symmetry revealed transcendental equations due to the finite confinement barrier between the core and the shell, leading to the concept of the threshold core radius. The results demonstrate that the optoelectronic properties strongly rely on core/shell sizes and the external magnetic field strength, with the electron's maximum probability of occurrence depending on the threshold core radius value. This threshold radius separates two regions with different physical behaviors, while the applied magnetic field acts as an additional confinement.