Orbital magnetic properties of quantum dots: the role of electron-electron interactions

TL;DR

This paper investigates how electron-electron interactions influence the orbital magnetic properties of quantum dots, revealing significant effects on susceptibility oscillations and phase behavior at finite temperatures.

Contribution

It introduces a finite temperature Hartree-Fock approach with a Yukawa potential to analyze magnetic responses in interacting quantum dots, highlighting the impact of interactions on magnetic oscillations.

Findings

Electron-electron interactions alter the amplitude and period of magnetic susceptibility oscillations.

Zero-field susceptibility exhibits both paramagnetic and diamagnetic phases depending on temperature and electron number.

Interactions significantly influence magnetic response, aligning with experimental observations.

Abstract

We study the magnetic orbital response of a system of N interacting electrons confined in a two-dimensional geometry and subjected to a perpendicular magnetic field in the finite temperature Hartree-Fock approximation. The electron-electron interaction is modelled by a short-range Yukawa-type potential. We calculate the ground state energy, magnetization, and magnetic susceptibility as a function of the temperature, the potential range, and the magnetic field. We show that the amplitude and period of oscillations in the magnetic susceptibility are strongly affected by the electron-electron interaction as evidenced in experimental results. The zero-field susceptibility displays both paramagnetic and diamagnetic phases as a function of temperature and the number of confined electrons.