Hund’s rule in the two-electron quantum dot

  • J. Katriel
  • H.E. MontgomeryJr.
Regular Article
Part of the following topical collections:
  1. Topical issue: Excitonic Processes in Condensed Matter, Nanostructured and Molecular Materials


Hund’s rule, specifying that in an open shell configuration the state of higher total spin has a lower energy, is also applicable to few-electron quantum dots. However, the relative contributions of the different energetic components behave in a qualitatively distinct way. This is accounted for by application of the virial theorem.


Topical issue: Excitonic Processes in Condensed Matter, Nanostructured and Molecular Materials 


  1. 1.
    E.R. Davidson, J. Chem. Phys. 42, 4199 (1965)ADSCrossRefGoogle Scholar
  2. 2.
    Y. Accad, C.L. Pekeris, B. Schiff, Phys. Rev. A 4, 516 (1971)ADSCrossRefGoogle Scholar
  3. 3.
    J. Katriel, Theoret. Chim. Acta 23, 309 (1972)CrossRefGoogle Scholar
  4. 4.
    C.F. Destefani, J.D.M. Vianna, G.E. Marques, Semicond. Sci. Technol. 19, L90 (2004)ADSCrossRefGoogle Scholar
  5. 5.
    M. Bylicki, W. Jaskólski, A. Stachów, J. Diaz, Phys. Rev. B 72, 075434 (2005)ADSCrossRefGoogle Scholar
  6. 6.
    S.G. Gomez, R.H. Romero, Cent. Eur. J. Phys. 7, 12 (2009)CrossRefGoogle Scholar
  7. 7.
    M. Taut, A. Ernst, J. Phys. B 31, L35 (1998)ADSCrossRefGoogle Scholar
  8. 8.
    F.V. Prudente, L.S. Costa, J.D.M. Vianna, J. Chem. Phys. 123, 224701 (2005)ADSCrossRefGoogle Scholar
  9. 9.
    T. Sako, J. Paldus, G.H.F. Diercksen, Phys. Rev. A 81, 022501 (2010)ADSCrossRefGoogle Scholar
  10. 10.
    Y. Sajeev, M. Sindelka, N. Moiseyev, J. Chem. Phys. 128, 061101 (2008)ADSCrossRefGoogle Scholar
  11. 11.
    J. Katriel, S.I. Themelis, Int. J. Quantum Chem. 112, 2880 (2012)CrossRefGoogle Scholar
  12. 12.
    J. Cioslowski, K. Pernal, J. Chem. Phys. 113, 8434 (2000)ADSCrossRefGoogle Scholar
  13. 13.
    J. Karwowski, L. Cyrnek, Ann. Phys. 13, 181 (2004)zbMATHCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Chemistry, TechnionHaifaIsrael
  2. 2.Nazareth Academic InstituteNazarethIsrael
  3. 3.Chemistry Program, Centre CollegeDanvilleUSA

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