Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Exact Diagonalization of Few-electron Quantum Dots
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
2009 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

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.

Place, publisher, year, edition, pages
2009. , p. 37
Keywords [en]
two-dimensional quantum dot, strongly correlated system, few-electron system, exact diagonalization, Lanczos method, Landau level, fractional quantum Hall effect, Wigner crystal, Hartree-Fock approximation, Second quantization
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:lnu:diva-2550OAI: oai:DiVA.org:lnu-2550DiVA, id: diva2:315214
Presentation
2009-12-21, 14:00 (English)
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2010-05-21 Created: 2010-04-22 Last updated: 2010-05-21Bibliographically approved

Open Access in DiVA

fulltext(400 kB)1594 downloads
File information
File name FULLTEXT01.pdfFile size 400 kBChecksum SHA-512
b71b618308bd8ec98a46d64d8ea13b98a710cde3e6fab1f3311790fa890f00f11d77487866e8adafa9c7413fe2c46a8d548bf98126f865f7a4b2cae37505b80e
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Hakimi, Shirin
By organisation
School of Computer Science, Physics and Mathematics
Condensed Matter Physics

Search outside of DiVA

GoogleGoogle Scholar
Total: 1596 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 377 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf