Rectangular quantum dots in high magnetic fields

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.

6 pages, 6 figures, submitted to Phys. Rev. B

References in corpus (13)

• Correlation energy and spin polarization in the 2D electron gas
• A novel multigrid method for electronic structure calculations
• Two-electron quantum dot molecule: Composite particles and the spin phase diagram
• Electronic structure of rectangular quantum dots
• Quantum dots in magnetic fields: Phase diagram and broken symmetry of the Chamon-Wen edge
• Textured Edges in Quantum Hall Systems
• Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories
• Coupling between Edge and Bulk in Strong-Field Quantum Dots
• Density functional theory of the phase diagram of maximum density droplets in two-dimensional quantum dots in a magnetic field
• Magnetization of noncircular quantum dots
• Wigner molecules in polygonal quantum dots: A density functional study
• Wigner Crystalline Edges in nu < 1 Quantum Dots
• Far infrared absorption in triangular and square quantum dots: characterization of corner and side modes

Cited by in corpus (14)

• Impurity effects in quantum dots: Towards quantitative modeling
• Density functional theory for strongly-interacting electrons: Perspectives for Physics and Chemistry
• Vortex Clusters in Quantum Dots
• Two-electron lateral quantum-dot molecules in a magnetic field
• Quantum Lissajous Scars
• Gaussian approximations for the exchange-energy functional of current-carrying states: Applications to two-dimensional systems
• Stability of vortex structures in quantum dots
• Orbital-free energy functional for electrons in two dimensions
• Electron localization function for two-dimensional systems
• Variational Monte Carlo for Interacting Electrons in Quantum Dots
• Billiards in magnetic fields: A molecular dynamics approach
• Giant vortices in rotating electron droplets
• Large two-dimensional electronic systems: Self-consistent energies and densities at low cost
• Fractional periodicity and magnetism of extended quantum rings