Orbital and spin magnetization of a confined electronic system in the transition between a quantum dot and a ring

TL;DR

This paper investigates how the orbital and spin magnetization of a confined electronic system evolve during the transition from a quantum dot to a quantum ring, considering electron interactions and different modeling approaches.

Contribution

It introduces a detailed analysis of ground state magnetization properties during the quantum dot to ring transition, incorporating Coulomb interactions and nonlocal current contributions.

Findings

Identification of changes in many-body ground state structure.

Comparison of continuous and lattice models for quantum dots/rings.

Analysis of magnetization curves versus magnetic field.

Abstract

In order to understand the orbital and spin magnetization of a confined electronic system we analyze these ground state properties in the transition from a quantum dot to a quantum ring of finite thickness. The Coulomb interaction between the electrons is treated in the Hartree and Hartree-Fock approximations and special care is taken to include also the contributions of the nonlocal current to the summation of the magnetic moments of the occupied states. We identify changes in the many-body structure of the ground state and in the magnetization curves versus the magnetic field and other parameters characterizing the system. We compare the results of two models for quantum dots (or rings), one with the electrons moving continuously in the system, and one with the electrons moving on a lattice.