Using the method of breaking circular symmetry and the subsequent symmetry restoration via projection techniques, we calculate the ground-state energies and excitation spectra of N-electrons confined in parabolic quantum dots in strong magnetic fields in the medium-size range 10<=N <=30. The physical picture is that of finite rotating electron molecules (REMs) comprising multiple rings, with the rings rotating independently of each other. A derived analytic expression for the energetics is applicable to arbitrary sizes given the corresponding ring configuration of classical point charges.
Also by exact diagonalization (EXD) method, we show the spectrum and structure of few electrons, 2<=N<=3, confined in elliptical dots at finite magnetic field. The results suggest the formation of a state of Wigner-molecular properties with spin associated, which has great instructions for the development of quantum register in quantum computing.
| Identifer | oai:union.ndltd.org:GATECH/oai:smartech.gatech.edu:1853/16173 |
| Date | 18 May 2007 |
| Creators | Li, Yuesong |
| Publisher | Georgia Institute of Technology |
| Source Sets | Georgia Tech Electronic Thesis and Dissertation Archive |
| Detected Language | English |
| Type | Dissertation |
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