Interacting electrons in polygonal quantum dots

Abstract

The low-lying eigenstates of a system of two electrons confined within a two-dimensional quantum dot with a hard polygonal boundary are obtained by means of exact diagonalization. The transition from a weakly correlated charge distribution for small dots to a strongly correlated "Wigner molecule" for large dots is studied, and the behaviour at the crossover is determined. In sufficiently large dots, a recently proposed mapping to an effective charge-spin model is investigated, and is found to produce the correct ordering of the energy levels and to give a good first approximation to the size of the level spacings. We conclude that this approach is a valuable method to obtain the low energy spectrum of few-electron quantum dots.

Cited by in corpus (32)

• Photon-assisted transport in semiconductor nanostructures
• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Full configuration interaction approach to the few-electron problem in artificial atoms
• On the formation of Wigner molecules in small quantum dots
• Effects of symmetry breaking in finite quantum systems
• Maximizing the Hilbert space for a finite number of distinguishable quantum states
• Electronic structure of rectangular quantum dots
• Coherent transport in a two-electron quantum dot molecule
• Quantum dots in high magnetic fields: Rotating-Wigner-molecule versus composite-fermion approach
• Quantum-dot lithium in zero magnetic field: Electronic properties, thermodynamics, and a liquid-solid transition in the ground state
• Rotational and vibrational spectra of quantum rings
• Dynamical control of correlated states in a square quantum dot
• Kohn-Sham density functional theory for quantum wires in arbitrary correlation regimes
• Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking
• Two-electron quantum dots as scalable qubits
• Two ground-state modifications of quantum-dot beryllium
• Signatures of Wigner Localization in Epitaxially Grown Nanowires
• Wigner molecules in polygonal quantum dots: A density functional study
• Finite-thickness effects in ground-state transitions of two-electron quantum dots
• Configuration interaction method for Fock-Darwin states
• Interferometry using spatial adiabatic passage in quantum dot networks
• Real Space Hartree-Fock Configuration Interaction Method For Complex Lateral Quantum Dot Molecules
• Effective interactions and large-scale diagonalization for quantum dots
• Singlet-triplet filtering and entanglement in a quantum dot structure
• Quantum Dot Spin Cellular Automata for Realizing a Quantum Processor
• Rotational levels in quantum dots
• Short-range interactions in a two-electron system: energy levels and magnetic properties
• Spin Filtering and Entanglement Swapping through Coherent Evolution of a Single Quantum Dot
• Classical electrons in laterally coupled diatomic 2D artificial molecule
• Two and three electrons on a sphere: A generalized Thomson problem
• Rashba controlled two-electron spin-charge qubits as building blocks of a quantum computer
• Spin conversion rates due to dipolar interactions in mono-isotopic quantum dots at vanishing spin-orbit coupling