Wigner molecules in quantum dots

Abstract

We perform unrestricted Hartree-Fock (HF) calculations for electrons in a parabolic quantum dot at zero magnetic field. The crossover from Fermi liquid to Wigner molecule behavior is studied for up to eight electrons and various spin components $S_z$. We compare the results with numerically exact path-integral Monte Carlo simulations and earlier HF studies. Even in the strongly correlated regime the symmetry breaking HF solutions provide accurate estimates for the energies and describe the one-particle densities qualitatively. However, the HF approximation favors the formation of a Wigner molecule and produces azimuthal modulations of the density for even numbers of electrons in one spatial shell.

arXiv comment5 pages, figures included

References in corpus (4)

• Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
• Spin-density-functional theory of circular and elliptical quantum dots
• On the formation of Wigner molecules in small quantum dots
• The interplay between shell effects and electron correlations in quantum dots

Cited by in corpus (32)

• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• The Fermion Sign Problem in Path Integral Monte Carlo Simulations: Quantum Dots, Ultracold Atoms, and Warm Dense Matter
• 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
• Wigner molecules in quantum dots: a quantum Monte Carlo study
• Nonequilibrium Green's functions approach to strongly correlated few-electron quantum dots
• Wigner islands with electrons over helium
• Strong electron-electron interactions in Si/SiGe quantum dots
• Coherent control and spectroscopy of a semiconductor quantum dot Wigner molecule
• Transport properties of quantum dots in the Wigner molecule regime
• Unrestricted Hartree-Fock for Quantum Dots
• Crystalline character of high-magnetic-field cusp states in quantum dots
• Two ground-state modifications of quantum-dot beryllium
• Unified description of floppy and rigid rotating Wigner molecules formed in quantum dots
• Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
• Wigner molecules in polygonal quantum dots: A density functional study
• Two-body Wigner molecularization in asymmetric quantum dot spin qubits
• Configuration interaction method for Fock-Darwin states
• Rotating quantum liquids crystallize
• On the Coulomb-dipole transition in mesoscopic classical and quantum electron-hole bilayers
• Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
• Real Space Hartree-Fock Configuration Interaction Method For Complex Lateral Quantum Dot Molecules
• Validity of the single-particle description and charge noise resilience for multielectron quantum dots
• Classical electrons in laterally coupled diatomic 2D artificial molecule
• Universality of Many-Body States in Rotating Bose and Fermi Systems
• Few-electron quantum dots and disks in zero magnetic field: Possible indications on a liquid-solid transition
• Charge-noise resilience of two-electron quantum dots in Si/SiGe heterostructures
• Ground state energies of quantum dots in high magnetic fields: A new approach
• Microscopic theory on magnetic-field-tuned sweet spot of exchange interactions in multielectron quantum-dot systems
• Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field
• On the symmetry of the electronic density in the three-electron parabolic quantum dot
• Orbital ferromagnetism in interacting few-electron dots with strong spin-orbit coupling