Two ground-state modifications of quantum-dot beryllium

Abstract

Exact electronic properties of a system of four Coulomb-interacting two-dimensional electrons in a parabolic confinement are reported. We show that degenerate ground states of this system are characterized by qualitatively different internal electron-electron correlations, and that the formation of Wigner molecule in the strong-interaction regime is going on in essentially different ways in these ground states.

5 pages, incl 5 Figures and 2 Tables

References in corpus (4)

• Wigner Crystallization in mesoscopic 2D electron systems
• 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
• Few-electron quantum dots and disks in zero magnetic field: Possible indications on a liquid-solid transition

Cited by in corpus (23)

• Full configuration interaction approach to the few-electron problem in artificial atoms
• Effects of symmetry breaking in finite quantum systems
• Transport properties of quantum dots in the Wigner molecule regime
• Roto-vibrational spectrum and Wigner crystallization in two-electron parabolic quantum dots
• Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
• Correlation between electrons and vortices in quantum dots
• Impurity effects in few-electron quantum dots: Incipient Wigner molecule regime
• Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions
• Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
• Effective interactions and large-scale diagonalization for quantum dots
• Quantum Wigner molecules in moiré materials
• Power-law dependence of the angular momentum transition fields in few-electron quantum dots
• Performance of the coupled cluster singles and doubles method on two-dimensional quantum dots
• Wigner-molecule supercrystal in transition-metal dichalcogenide moiré superlattices: Lessons from the bottom-up approach
• Strongly correlated quantum dots in weak confinement potentials and magnetic fields
• Exchange-correlation potentials for inhomogeneous electron systems in two dimensions from exact diagonalization: comparison with the local-spin-density approximation
• Scaling in the correlation energies of two-dimensional artificial atoms
• Crystal-field effects in the formation of Wigner-molecule supercrystals in moiré TMD superlattices
• Electronic Wigner-Molecule Polymeric Chains in Elongated Silicon Quantum Dots and Finite-Length Quantum Wires
• Four electrons in a two-leg Hubbard ladder: exact ground states
• Coupled cluster theory for the ground and excited states of two dimensional quantum dots
• Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior
• Solving Schrodinger Equation for Three-Electron Quantum Systems by the Use of The Hyperspherical Function Method