A quantum pseudodot system with two-dimensional pseudoharmonic potential under external magnetic and AB flux fields

TL;DR

This paper derives exact solutions for the energy levels and wave functions of electrons in a 2D pseudoharmonic quantum dot influenced by magnetic, AB flux, and temperature effects, with applications to GaAs semiconductors.

Contribution

It provides analytical expressions for energy eigenvalues and wave functions of a 2D pseudoharmonic quantum dot under combined external fields and temperature, extending previous models.

Findings

Energy levels depend on magnetic field, AB flux, and temperature.

Analytical formulas for interband absorption coefficients are derived.

Results applicable to GaAs quantum dot systems.

Abstract

Using the Nikiforov-Uvarov (NU) method, the energy levels and the wave functions of an electron confined in a two-dimensional (2D) pseudoharmonic quantum dot are calculated under the influence of temperature and an external magnetic field inside dot and Aharonov-Bohm (AB) field inside a pseudodot. magnetic field and geometrical size of quantum pseudodot. The temperature dependence energy levels for GaAs semiconductor are also calculated. The exact solutions for energy eigenvalues and wave functions are computed as functions of the chemical potential parameters, applied magnetic field strength, AB flux field, magnetic quantum number and temperature. Analytical expression for the light interband absorption coefficient and absorption threshold frequency are found as functions of applied