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p-shell hybridization and Hund’s-rule mitigation: engineering Hilbert spaces in artificial atoms

2004/07/31 by Jordan Kyriakidis
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.mtrl-sci #physics.comp-ph

paper · pdf · doi:10.1088/0953-8984/17/17/020

published as J. Phys.: Condens. Matter 17, 2715-2722 (2005) · 8 pages, 4 figures. More info at http://soliton.phys.dal.ca

openalex publication_date 2005/04/15 · arxiv created 2005/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The magnetic-field dependence of many-body states in quantum dots can be tailored by controlling the mixing of various angular momenta. In lateral quantum dots -- defined electrostatically in a two-dimensional electron gas -- this mixing can be accomplished by introducing anisotropies in the confinement potential, thereby explicitly breaking rotational symmetry. Mixing can be severe enough to violate Hund's rules, even at zero magnetic field. We illustrate the principle through calculations of states and spectra of four-electron droplets (p-shell) with long-range Coulomb repulsions and confined in anisotropic potentials. Our results show that the Hilbert space in these nanostructures can be engineered to the particular application domain.

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