Exact Diagonalization of Few-electron Quantum Dots

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-lyi...

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Bibliographic Details
Main Author: Hakimi, Shirin
Format: Others
Language:English
Published: Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM 2009
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-2550
Description
Summary: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.