Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots

Abstract

Ground state energies are obtained using the unrestricted Hartree Fock method for up to four interacting electrons parabolically confined in a quantum dot subject to a magnetic field. Restoring spin and rotational symmetries we recover Hund first rule. With increasing magnetic field, crossovers between ground states with different quantum numbers are found for fixed electron number that are not reproduced by the unrestricted Hartree Fock approximation. These are consistent with the ones obtained with more refined techniques. We confirm the presence of a spin blockade due to a spin mismatch in the ground states of three and four electrons.

arXiv comment16 Pages, 2 figures, accepted for publication on New Journal of Physics

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• Transport properties of quantum dots in the Wigner molecule regime
• Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
• Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps
• Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot
• Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field