Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots

Abstract

We report results for the ground state energies and wave functions obtained by projecting spatially unrestricted Hartree Fock states to eigenstates of the total spin and the angular momentum for harmonic quantum dots with $N\le 12$ interacting electrons including a magnetic field states with the correct spatial and spin symmetries have lower energies than those obtained by the unrestricted method. The chemical potential as a function of a perpendicular magnetic field is obtained. Signature of an intrinsic spin blockade effect is found.

12 pages, 5 tables, 10 figures, submitted to Phys. Rev. B

References in corpus (17)

• Spins in few-electron quantum dots
• Full configuration interaction approach to the few-electron problem in artificial atoms
• A Generic Model for Current Collapse in Spin Blockaded Transport
• Correlation Induced Inhomogeneity in Circular Quantum Dots
• Incipient Wigner Localization in Circular Quantum Dots
• Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories
• Intermediate Low Spin States in a Few-electron Quantum Dot in the $\nu \le 1$ Regime
• Rapidly rotating boson molecules with long or short range repulsion: an exact diagonalization study
• Half-Integer Filling Factor States in Quantum Dots
• From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings
• Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
• Spin Blockade in Capacitively Coupled Quantum Dots
• Ground-state densities and pair correlation functions in parabolic quantum dots
• Multiple transitions of the spin configuration in quantum dots
• Probing a Kondo correlated quantum dot with spin spectroscopy
• Brueckner-Hartree-Fock study of circular quantum dots
• The Crossover between Liquid and Solid Electron Phases in Quantum Dots: A Large-Scale Configuration-Interaction Study

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