Rectangular quantum dots in high magnetic fields

TL;DR

This study uses density-functional methods to explore how high magnetic fields influence the electronic and magnetic properties of rectangular quantum dots, revealing phenomena like spin polarization, density oscillations, and shape-dependent dynamics.

Contribution

It provides new insights into the effects of magnetic fields on rectangular quantum dots, highlighting shape-dependent electron behavior and complex many-electron phenomena.

Findings

Magnetic fields induce spin polarization and inhomogeneous density distributions.

Oscillations in electron density and magnetization occur at high magnetic fields.

Quantum dot shape significantly affects electron dynamics and magnetic responses.

Abstract

We use density-functional methods to study the effects of an external magnetic field on two-dimensional quantum dots with a rectangular hard-wall confining potential. The increasing magnetic field leads to spin polarization and formation of a highly inhomogeneous maximum-density droplet at the predicted magnetic field strength. At higher fields, we find an oscillating behavior in the electron density and in the magnetization of the dot. We identify a rich variety of phenomena behind the periodicity and analyze the complicated many-electron dynamics, which is shown to be highly dependent on the shape of the quantum dot.