Real Space Hartree-Fock Configuration Interaction Method For Complex Lateral Quantum Dot Molecules

Abstract

We present unrestricted Hartree Fock method coupled with configuration interaction (CI) method (URHF-CI) suitable for the calculation of ground and excited states of large number of electrons localized by complex gate potentials in quasi-two-dimensional quantum dot molecules. The method employs real space finite difference method, incorporating strong magnetic field, for the calculating of single particle states. The Hartree-Fock method is employed for the calculation of direct and exchange interaction contribution to the ground state energy. The effects of correlations are included in energies and directly in the many-particle wavefunctions via configuration interaction (CI) method using a limited set of excitations above the Fermi level. The URHF-CI method and its performance are illustrated on the example of ten electrons confined in a two-dimensional quantum dot molecule.

8 pages, 12 figures

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• Tuning spatial entanglement in interacting few-electron quantum dots
• Characteristic molecular properties of one-electron double quantum rings under magnetic fields
• Para-ortho transition of artificial H${}_2$ molecule in lateral quantum dots doped with magnetic impurities
• Accurate and efficient description of interacting carriers in quantum nanostructures by selected configuration interaction and perturbation theory
• Coupled cluster theory for the ground and excited states of two dimensional quantum dots
• Spin transitions induced by a magnetic field in quantum dot molecules