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Exact Diagonalization of Few-electron Quantum Dots

<p>We consider a system of few electrons trapped in a two-dimensional circularquantum dot with harmonic confinement and in the presence of ahomogeneous magnetic field, with focus on the role of e-e interaction. Byperforming the exact diagonalization of the Hamiltonian in second quantization,the low-lying energy levels for spin polarized system are obtained. The singlet-triplet oscillation in the ground state of the two-electron system showing up inthe result is explained due to the role of Coulomb interaction. The splitting ofthe lowest Landau level is another effect of the e-e interaction, which is alsoobserved in the results.</p>

Identiferoai:union.ndltd.org:UPSALLA/oai:DiVA.org:lnu-2550
Date January 2009
CreatorsHakimi, Shirin
PublisherLinnaeus University, School of Computer Science, Physics and Mathematics
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, text

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