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

TL;DR

This paper presents a method to improve the accuracy of ground state energies and wave functions for harmonic quantum dots by projecting unrestricted Hartree-Fock states onto states with correct symmetries, revealing spin blockade effects.

Contribution

The study introduces a projection technique for unrestricted Hartree-Fock states to obtain physically accurate states with proper symmetries in quantum dots.

Findings

Projected states have lower energies than unrestricted states.

Chemical potential varies with magnetic field, indicating quantum effects.

Evidence of intrinsic spin blockade observed.

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 $N\leq 12$ 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.