Calculation of the Energy Levels for a Quantum Dot Coupled to a Fixed Spin Impurity

Abstract

Quantum dots are considered the cornerstone for the future of quantum computing, and understanding their properties and theories is essential for advancements in this vast field. The physical model is introduced for studying the spin-polarized electron currents through a quantum dot connected to a fixed spin impurity. This quantum dot is made of semiconductor material. The quantum dot features three energy levels, the fixed impurity has one energy level that exhibits different Zeeman splittings under an external magnetic field. A specific MATLAB program is used to solve the Schrödinger equation and calculate the energy levels of the quantum dot and the fixed spin impurity. The values of energy levels are used to calculate the spin-polarized current and polarization. Furthermore, the MATLAB program is utilized to plot the relationship between energy levels and magnetic field strength to explain the effect of the magnetic field produced by the connection between the single quantum dot and the fixed spin.