Symmetry breaking and the random-phase approximation in small quantum dots

Abstract

The random-phase approximation has been used to compute the properties of parabolic two-dimensional quantum dots beyond the mean-field approximation. Special emphasis is put on the ground state correlation energy, the symmetry restoration and the role of the spurious modes within the random-phase approximation. A systematics with the Coulombic interaction strength is presented for the 2-electron dot, while for the 6- and 12-electron dots selected cases are discussed. The validity of the random-phase approximation is assessed by comparison with available exact results.

9 pages, 4 embedded + 6 gif Figs. Published version

References in corpus (7)

• Collective and independent-particle motion in two-electron artificial atoms
• Diffusion Monte Carlo study of circular quantum dots
• Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields
• Hidden symmetries of two-electron quantum dots in a magnetic field
• Far-infrared edge modes in quantum dots
• Dynamical moment of inertia and quadrupole vibrations in rotating nuclei
• Scalar ground-state observables in the random phase approximation

Cited by in corpus (18)

• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Symmetry restoration in mean-field approaches
• 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
• Two electrons in a strongly coupled double quantum dot: from an artificial helium atom to a hydrogen molecule
• Spin-orbit coupling and anisotropic exchange in two-electron double quantum dots
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
• Finite-thickness effects in ground-state transitions of two-electron quantum dots
• Elimination of spurious modes within QRPA
• Suppression of modes in the random phase approximation
• Microscopic analysis of shape-phase transitions in even-even N~90 rotating nuclei
• Self-organization of charged particles in circular geometry
• Backbending and $Gamma$-Vibrations
• Spin ordering in magnetic quantum dots: From core-halo to Wigner molecules
• Brueckner-Hartree-Fock study of circular quantum dots
• Entanglement as an indicator of a geometrical crossover in a two-electron quantum dot in a magnetic field