Metal clusters, quantum dots, and trapped atoms: From single-particle models to correlation

Science and Technology of Atomic, Molecular, Condensed Matter and Biological Systems 04/2007; 1(1). DOI: 10.1016/B978-0-444-53440-8.00012-4
Source: arXiv


In this review, we discuss the electronic structure of finite quantal systems on the nanoscale. After a few general remarks on the many-particle physics of the harmonic oscillator -- likely being the most studied example for the many-body systems of finite quantal systems, we discuss properties of metal clusters, quantum dots and cold atoms in traps. We address magic numbers, shape deformation, magnetism, particle localization, and vortex formation in rotating systems.

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Available from: Matti Manninen, Nov 21, 2013
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    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.
    Physical review. B, Condensed matter 07/2007; 77(3). DOI:10.1103/PhysRevB.77.035325 · 3.66 Impact Factor