Many-Body perturbation theory calculations on circular quantum dots

Abstract

The possibility to use perturbation theory to systematically improve calculations on circular quantum dots is investigated. A few different starting points, including Hartree-Fock, are tested and the importance of correla- tion is discussed. Quantum dots with up to 12 electrons are treated and the effects of an external magnetic field are examined. The sums over excited states are carried out with a complete finite radial basis set obtained through the use of B splines. The calculated addition energy spectra are compared with experiments and the implications for the filling sequence of the third shell are discussed in detail.

13 pages, 9 figures, 2 tables

References in corpus (8)

• Excitation Spectra of Circular Few-Electron Quantum Dots
• Direct Coulomb and Exchange Interaction in Artificial Atoms
• On the formation of Wigner molecules in small quantum dots
• Correlation Induced Inhomogeneity in Circular Quantum Dots
• Alternative Fourier Expansions for Inverse Square Law Forces
• Ground-state of two-dimensional finite electron systems in the Quantum Hall regime
• Spin configurations in circular and rectangular vertical quantum dots in a magnetic field: Three-dimensional self-consistent simulation
• Electron correlations in two-dimensional small quantum dots

Cited by in corpus (8)

• Microscopic theory of quantum dot interactions with quantum light: local field effect
• Performance of the coupled cluster singles and doubles method on two-dimensional quantum dots
• Correlation energy of anisotropic quantum dots
• Controlled Operations in a Strongly Correlated Two-Electron Quantum Ring
• Fundamental Gates for a Strongly Correlated Two-Electron Quantum Ring
• Estimation of the spatial decoherence time in circular quantum dots
• Coupled cluster theory for the ground and excited states of two dimensional quantum dots
• Generalized Heine Identity for Complex Fourier Series of Binomials