A study of quantum pseudodot system with a two-dimensional pseudoharmonic potential using Nikiforov-Uvarov method

TL;DR

This paper analytically investigates the energy spectra, wave functions, and optical properties of a 2D quantum pseudodot system under magnetic and Aharonov-Bohm fields using the Nikiforov-Uvarov method, including temperature effects.

Contribution

It provides a unified analytical approach to solve for energy levels and wave functions in a 2D pseudodot with magnetic and AB flux fields, including temperature dependence.

Findings

Analytic expressions for energy spectra and wave functions.

Calculation of interband absorption coefficient and threshold frequency.

Temperature-dependent energy levels for GaAs.

Abstract

We use the Nikiforov-Uvarov method to calculate the bound states (energy spectra and wave functions) of a two-dimensional (2D) electron gas interacted with an exactly solvable pseudoharmonic confinement potential in a strong uniform magentic field inside dot and Aharonov-Bohm flux field inside a pseudodot. We give a unified treatment for both Schr\"odinger and spin-0 Klein-Gordon energy spectrum and wave functions as functions of chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number. We obtain analytic expression for the light interband absorption coefficient and threshold frequency of absorption as functions of applied magnetic field and geometrical size of quantum pseudodot. The temperature dependence energy levels for GaAs are also calculated.