Electron and boson clusters in confined geometries: symmetry breaking in quantum dots and harmonic traps

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dc.creatorYannouleas, Constantine
dc.creatorLandman, Uzi
dc.date2006-04-29
dc.date.accessioned2026-07-07T07:08:40Z
dc.date.available2026-07-07T07:08:40Z
dc.descriptionWe discuss the formation of crystalline electron clusters in semiconductor quantum dots and of crystalline patterns of neutral bosons in harmonic traps. In a first example, we use calculations for two electrons in an elliptic quantum dot to show that the electrons can localize and form a molecular dimer. The calculated singlet-triplet splitting (J) as a function of the magnetic field (B) agrees with cotunneling measurements, with its behavior reflecting the effective dissociation of the dimer for large B. Knowledge of the dot shape and of J(B) allows determination of the degree of entanglement. In a second example, we study strongly repelling neutral bosons in two-dimensional harmonic traps. Going beyond the Gross-Pitaevskii (GP) mean-field approximation, we show that bosons can localize and form polygonal-ring-like crystalline patterns. The total energy of the crystalline phase saturates in contrast to the GP solution, and its spatial extent becomes smaller than that of the GP condensate.
dc.descriptionLATEX, 9 pages with 6 figures. To appear in Proc. Natl. Acad. Sci. (USA). For related papers, see http://www.prism.gatech.edu/~ph274cy/
dc.identifierhttps://arxiv.org/abs/cond-mat/0605012
dc.identifierhttp://arxiv.org/abs/cond-mat/0605012
dc.identifierProc.Natl.Acad.Sci.USA 103, 10600 (2006)
dc.identifierdoi:10.1073/pnas.0509041103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110791
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleElectron and boson clusters in confined geometries: symmetry breaking in quantum dots and harmonic traps
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