Ab initio computation of circular quantum dots

Abstract

We perform coupled-cluster and diffusion Monte Carlo calculations of the energies of circular quantum dots up to 20 electrons. The coupled-cluster calculations include triples corrections and a renormalized Coulomb interaction defined for a given number of low-lying oscillator shells. Using such a renormalized Coulomb interaction brings the coupled-cluster calculations with triples correlations in excellent agreement with the diffusion Monte Carlo calculations. This opens up perspectives for doing ab initio calculations for much larger systems of electrons.

17 pages, 4 figures, submitted to Physical Review B

References in corpus (17)

• Recent developments in no-core shell-model calculations
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Full configuration interaction approach to the few-electron problem in artificial atoms
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Density functional theory for strongly interacting electrons
• Ab initio computation of the 17F proton-halo state and resonances in A = 17 nuclei
• Ab-initio computation of neutron-rich oxygen isotopes
• Ab initio coupled-cluster theory for open-shell nuclei
• Incipient Wigner Localization in Circular Quantum Dots
• Measurement efficiency and n-shot read out of spin qubits
• Theory of anisotropic exchange in laterally coupled quantum dots
• Geometry of effective Hamiltonians
• Effective interactions and large-scale diagonalization for quantum dots
• Semi-local density functional for the exchange-correlation energy of electrons in two dimensions
• Many-body interactions and nuclear structure

Cited by in corpus (9)

• Coupled-cluster computations of atomic nuclei
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Quantum Monte Carlo with Coupled-Cluster wave functions
• Performance of the coupled cluster singles and doubles method on two-dimensional quantum dots
• Formulation of effective interaction in terms of renormalized vertices and propagators
• Solving fermion problems without solving the sign problem: symmetry-breaking wave functions from similarity-transformed propagators for solving 2D quantum dots
• Coupled cluster theory for the ground and excited states of two dimensional quantum dots
• The Wigner localization of interacting electrons in a one-dimensional harmonic potential
• Addition and removal energies of circular quantum dots